Vladimir Pestov

Vladimir Pestov foi nascido e criado na Ásia Setentrional (na época uma parte da União Soviética, por enquanto uma parte da Federação da Rússia), recebeu o doutorado na Universidade de Moscou em 1983 (Geometria e Topologia, orientador: A.V. Arhangel'skii), e desenvolveu a carreira universitária principalmente na Nova Zelândia e Canadá. Em 2017 ele pediu aposentadoria antecipada na Universidade de Ottawa, onde é agora Professor Emérito, e mudou para Brasil, atuando como pesquisador visitante ou professor voluntário (UFSC, UFBA, UFPB). Os interesses principais e os melhores resultados do Vladimir pertencem à teoria dinâmica de "grupos de dimensão infinita", em particular a letra "P" da teoria conhecida como "correspondência K-P-T" ("K-P-T correspondence") vem do seu sobrenome. Porém, ele tem vários outros interesses, inclusive os fundamentos do aprendizado de máquina.

Informações coletadas do Lattes em 31/08/2024

Acadêmico

Formação acadêmica

Doutorado em Topologia e geometria

1980 - 1983

Universidade Federal de Moscou
Título: Grupos topológicos e os fechos algebráicos dos espaços topológicos
Orientador: Alexander V. Arhangel'skii
Bolsista do(a): Universidade Federal de Moscou, MGU, Rússia. Palavras-chave: grupo topológico; grupo topológico livre; espaço funcional; grupos sem subgrupos pequenos; dimenção de Lebesgue.Grande área: Ciências Exatas e da TerraSetores de atividade: Educação.

Idiomas

Inglês

Compreende Bem, Fala Bem, Lê Bem, Escreve Bem.

Português

Compreende Razoavelmente, Fala Razoavelmente, Lê Razoavelmente, Escreve Razoavelmente.

Francês

Compreende Bem, Fala Bem, Lê Bem, Escreve Bem.

Russo

Compreende Bem, Fala Bem, Lê Bem, Escreve Bem.

Áreas de atuação

Grande área: Ciências Exatas e da Terra / Área: Matemática.

Grande área: Ciências Exatas e da Terra / Área: Ciência da Computação.

Organização de eventos

GONCALVES, D. ; COSTA E SILVA, I. P. ; Pestov, V. G. . Análise funcional geométrica e ações de grupos. 2014. (Congresso).

GONCALVES, D. ; PESTOV, V. . Workshop on Sofic and Hyperlinear Groups and Connes Embedding Conjecture. 2013. (Congresso).

NAVARRO, G. ; PESTOV, V . 5th International Conference on Similarity Search and Applications (SISAP). 2012. (Congresso).

GIORDANO, T ; PESTOV, V . Workshop on Positivity: Positivity in the classification of operator algebras and dynamical systems, in finite- and infinite-dimensional linear algebra, and its outgrowths. 2011. (Congresso).

Hegland, Markus ; PESTOV, V ; SLOAN, I. ; Wozniakowski, H. . Workshop on Theoretical Aspects of High-Dimensional Problems and Information-Based Complexity. 2011. (Congresso).

THIERRY, G. ; PESTOV, V . Extended Workshop on Groups and Group Actions in Operator Algebra Theory. 2010. (Congresso).

Eli Glasner ; PESTOV, V ; Todorcevic, S. . Workshop on the Concentration Phenomenon, Transformation Groups and Ramsey Theory. 2010. (Congresso).

Collins, Benoît ; GIORDANO, T ; Handelman, David ; Pestov, Vladimir G. . Workshop Around Connes' Embedding Problem. 2008. (Outro).

Brodskiy, Nikolay ; Karasev, Alexandre ; Mayer, John C. ; Pestov, Vladimir G. ; Tuncali, Murat ; Valov, Vesko . Workshops on Topological Methods in Algebra, Analysis and Dynamical Systems. 2008. (Outro).

Ferri, Stefano ; Miller, Alica ; Pestov, Vladimir G. . Session on Dynamics of Large Groups and Semigroups. 2008. (Congresso).

Pestov, Vladimir G. ; Neufang, Matthias . Mini-workshop on Introduction to infinite-dimensional topological groups. 2008. (Outro).

Pestov, Vladimir G. ; Milman, Vitali . Workshop on Geometrization of Probability. 2007. (Outro).

Atkin, Christopher ; Hjorth, Greg ; Miller, Alica ; Pestov, Vladimir G. . Session on Infinite-dimensional groups and their actions of the 1st Joint Meeting of the American Mathematical Society and the New Zealand Mathematical Society. 2007. (Congresso).

Rubin, Matatyahu ; Leiderman, A ; Fonf, Vladimir ; Pestov, Vladimir G. . International Workshop on the Universal Urysohn Metric Space. 2006. (Congresso).

André Dabrowski ; Paul-Eugène Parent ; Pestov, Vladimir G. . Workshop on Geometry of Very Large Data Sets. 2005. (Outro).

THIERRY, G. ; Handelman, David ; Mingo, Jamie ; Neufang, Matthias ; Pestov, Vladimir G. . Summer School in Operator Algebras. 2005. (Outro).

THIERRY, G. ; Handelman, David ; Mingo, Jamie ; Neufang, Matthias ; Pestov, Vladimir G. . 33rd Canadian Operator Symposium (COSy). 2005. (Congresso).

THIERRY, G. ; David Handelman ; Matthias Neufang ; Pestov, Vladimir G. . Workshop on Kazhdan's Property (T). 2004. (Outro).

Milman, Vitali ; Pestov, Vladimir G. . Session on Geometric Aspects of Functional Analysis of the 1st Joint Meeting of the New Zealand Mathematical Society and the Israel Mathematical Union. 2004. (Congresso).

Ilijas Farah ; Pestov, Vladimir G. . Session on General Topology and Topological Algebra of the Summer Meeting of the Canadian Mathematical Society. 2004. (Congresso).

Pestov, Vladimir G. ; THIERRY, G. ; David Handelman . Workshop on Interactions between concentration phenomenon, transformation groups, and Ramsey theory. 2003. (Outro).

GAULD, D. ; GREENWOOD, S. ; MCINTYRE, D. ; MOORS, W. ; Morris, Sidney A. ; PESTOV, V ; ROBBIE, D. . 17th "Summer" Conference on Topology and Applications. 2002. (Congresso).

GOVER, R. ; PESTOV, V . Australasian Research Symposium on Lie Groups, Algebraic Groups, Quantum Groups, and Their Representations (LAQ'2001). 2001. (Congresso).

Pestov, V. G. . 2a Escola Siberiana ``Álgebra e Análise''. 1988. (Congresso).

PESTOV, V . Seminário semanal "Algumas problemas matemáticos na teoria quántica de campos". 1986. (Outro).

Participação em eventos

2013 Brazilian Conference on General Topology and Set Theory. The mystery of hyperlinear and sofic groups. 2013. (Congresso).

Seminário à SISSA (Scuola Internazionale Superiore di Studi Avanzati).The curse of dimensionality in some problems of data science. 2013. (Seminário).

13a Escola de Verão do Departamento de Matemática, UFSC.O classificador k-NN: o antigo e o novo. 2012. (Oficina).

13a Escola de Verão do Departamento de Matemática, UFSC.Aproximação de Grupos, Grafos, e Sistemas Dimámicos com os Objetos Finitos. 2012. (Oficina).

2011 Brazilian Operator Algebra Symposium (BOAS'2011). Amenability for non-locally compact topological groups. 2011. (Congresso).

4th International Conference on Similarity Search and Applications (SISAP 2011).Lower bounds on performance of metric tree indexing schemes for exact similarity search in high dimensions. 2011. (Simpósio).

Colóquio do Departamento de Matemética da UFSC."O grafo aleatório de Rado, o espaço métrico universal de Urysohn, e outras estruturas relacionadas". 2011. (Seminário).

Dagstuhl prospective seminar on Learning in the context of very high dimensional data.Is the k-NN classifier in high dimensions affected by the curse of dimensionality?. 2011. (Encontro).

Escola de verão do DM-UFSC.Ultralimites, ultraprodutos, e algumas aplicações na matemática moderna. 2011. (Oficina).

Fields Institute Set Theory seminar.Some set-theoretic motives in statistical learning theory. II. 2011. (Seminário).

Seminário de análise funcional da UFRJ."O grafo aleatório de Rado, o espaço métrico universal de Urysohn, e outras estruturas relacionadas". 2011. (Seminário).

Seminário de Probabilidade e Combinatória do IMPA.Geometria e complexidade da pesquisa por semelhança. 2011. (Seminário).

Seminário dos Àlgebras dos Operadores da UFSC."Grupos hiperlineares e sóficos: uma introdução". 2011. (Seminário).

Workshop on Theoretical Aspects of High-Dimensional Problems and Information-Based Complexity.On the geometry and complexity of similarity search in high dimensions. 2011. (Simpósio).

2010 Brazilian Symposium on Neural Networks. A note on sample complexity of learning binary output neural networks under fixed input distributions. 2010. (Congresso).

2010 conference on Descriptive Set Theory in Paris. Even larger groups: a glimpse over the horizon of Polishness. 2010. (Congresso).

21st International Conference on Algorithmic Learning Theory (ALT'2010). PAC learnability of a concept class under non-atomic measures: a problem by Vidyasagar. 2010. (Congresso).

3rd International Conference on Similarity Search and Applications (SISAP 2010). Indexability, concentration, and VC theory. 2010. (Congresso).

Analysis seminar at the University of Ottawa.The phenomenon of concentration of measure on high-dimensional structures. I. 2010. (Seminário).

Colóquio do Departamento de Matemática da UFSC.Ultralimites, ultraprodutos, e algumas aplicaçoes na matemática moderna. 2010. (Seminário).

Fields Institute Set Theory Seminar.Some set-theoretic motives in statistical learning theory. 2010. (Seminário).

Fields Institute Workshop on the Concentration Phenomenon, Transformation Groups and Ramsey Theory. Ergodicity at identity of measure-preserving actions of Polish groups. 2010. (Congresso).

Fields Undergraduate Network (FUN) workshop.Ultralimits, ultraproducts, and some open problems in group theory. 2010. (Oficina).

IEEE Symposium on Foundations and Practice of Data Mining in the 2010 IEEE International Conference on Granular Computing. Predictive PAC learnability: a paradigm for learning from exchangeable input data. 2010. (Congresso).

Minicurso ao Fields Institute.Non-locally compact Polish groups: some examples, techniques, results, and open questions. I, II. 2010. (Oficina).

Séminaire Invitation à l'Analyse.Actions ergodic at identity and point realizations of groups of measure-preserving transformations. 2010. (Seminário).

Special seminar at the Fields institute.Some problems in the theory of topological groups. 2010. (Seminário).

Weekend meeting ``Logic and Mathematics 2010'' at the University of Illinois at Urbana-Champaign. Ultraproducts of metric groups. 2010. (Congresso).

Workshops on Recent Advances in Topological and Measure- Theoretic Methods in Dynamical Systems.Gottschalk's surjunctivity conjecture: a survey. 2010. (Oficina).

2009 Spring Topology and Dynamics Conference. Approximation of (topological) groups with finite or compact groups. 2009. (Congresso).

2009 Summer Meeting of the Canadian Mathematical Society. Non-isomorphic C* algebras with isomorphic unitary groups. 2009. (Congresso).

Fields Institute Workshop Around Connes' Embedding Problem.Ultrafilters and ultraproducts for beginners. 2009. (Oficina).

Lie and Jordan Algebras, their Representations and Applications-IV. Amenability of path groups. 2009. (Congresso).

Seminário de Álgebra do IMPA.Grupos hiperlineares e sóficos: uma introdução. 2009. (Seminário).

The State of Geometry and Functional Analysis. The Ramsey-Dvoretzky-Milman phenomenon: a survey. 2009. (Congresso).

2008 Canadian Symposium on Abstract Harmonic Analysis. Amenability versus property (T) for non locally compact groups. 2008. (Congresso).

2008 International Conference on the Analysis of Algorithms. Analysis of hierarchical metric tree indexing schemes for similarity search in high-dimensional datasets. 2008. (Congresso).

Colloquium (Oliver Club) lecture in the Department of Mathematics, Cornell University.Infinite dimensional groups versus locally compact groups: some recent trends. 2008. (Seminário).

Discrete Mathematics seminar of the University of Calgary.Combinatorics, geometric functional analysis, and topological transformation groups. 2008. (Seminário).

First Mathematical Society of Japan Seasonal Institute conference ``Probabilistic Approach to Geometry''. Urysohn's universal, or random, metric space, its group of isometries, and other related structures. 2008. (Congresso).

Séminario ``Lie, Jordan Algebras, their Representations and Applications'' do IME-USP.Hyperlinear and sofic groups. 2008. (Seminário).

Special Session ``Dynamics of Large Groups and Semigroups'' of the 2008 Winter Meeting of the Canadian Mathematical Society. Amenability test spaces for Polish groups. 2008. (Congresso).

Special session on Set Theory and its Applications of the Second Canada-France Congress. Actions de groupes polonais par les isométries affines sur les espaces de Banach sans points fixes. 2008. (Congresso).

Special talk, Department of Mathematics, University of Calgary.Subgroups of ultraproducts of unitary and symmetric groups: hyperlinear and sofic groups. 2008. (Seminário).

Colloquium of the Department of Mathematics of the University of Toronto.Infinite-dimensional groups versus locally compact groups: some recent trends. 2007. (Seminário).

Fields Institute Set Theory Seminar.Subgroups of metric ultraproducts of unitary and of symmetric groups: hyperlinear and sofic groups. 2007. (Seminário).

Fields institute workshop ``Interactions between probability theory and functional analysis''. Probability metric spaces and infinite-dimensional groups. 2007. (Congresso).

Ottawa-Carleton Joint Analysis Seminar.Subgroups of metric ultraproducts of unitary and of symmetric groups: hyperlinear and sofic groups. 2007. (Seminário).

Special session on Infinite-dimensional groups and their actions of the 1st Joint Meeting of the American Mathematical Society and the New Zealand Mathematical Society. A footnote on property (FH). 2007. (Congresso).

Special session on Principal Manifolds and Data Visualization of the 22nd International Joint Conference on Neural Networks (IJCNN'2007). Intrinsic dimension of a dataset: what properties does one expect?. 2007. (Congresso).

6-th Iberoamerican Conference on Topology and its Applications. The Urysohn metric space and related structures. 2006. (Congresso).

Second Annual Conference of the European Network ``Phenomena in High Dimensions''. Lévy groups and the fixed point on compacta property. 2006. (Congresso).

Séminaire de l'équipe de logique de l'Université Paris 7.Sur quelques liens de l'espace métrique universel d'Urysohn avec l'analyse et la géometrie. 2006. (Seminário).

Special session on Probabilistic Methods in Algebra and Analysis of the 2006 Winter Meeting of the Canadian Mathematical Society. Urysohn metric space and Kirchberg approximation property. 2006. (Congresso).

Thematic Program ``Phenomena in High Dimensions'' , Institut Henri Poincaré.Mini-course of two lectures ``Large groups, concentration, and Ramsey theory''. 2006. (Oficina).

Workshop on the universal Urysohn metric space. Approximation of the isometry group of the Urysohn space with finite subgroups. 2006. (Congresso).

25 Colóquio Brasileiro de Matemática.Mini-curso ``Dynamics of infinite-dimensional groups and Ramsey-type phenomena''. 2005. (Oficina).

Annual Meeting of the Association of Symbolic Logic. On the groups of automorphisms of various structures: their geometry, dynamics, and combinatorics (plenary lecture). 2005. (Congresso).

Annual SouthEast Logic Symposium (SEALS). The Urysohn metric space and its group of isometries (invited one-hour lecture). 2005. (Congresso).

Colloquium of the Department of Mathematics of the Bar-Ilan University.Large groups and their unusual properties. 2005. (Seminário).

Colloquium of the Department of Mathematics of the University of Florida at Gainseville.Geometry, dynamics, and combinatorics of infinite-dimensional groups of transformations. 2005. (Seminário).

Colloquium of the Institute of Mathematical Sciences of the Australian National University.Dynamics of infinite-dimensional groups and Ramsey-type phenomena. 2005. (Seminário).

Functional Analysis Seminar of the Department of Mathematical and Statistical Sciences, University of Alberta.Geometry, dynamics, and combinatorics of infinite-dimensional groups of transformations. 2005. (Seminário).

Joint Mathematics Colloquium of the University of Sydney and the University of New South Wales.Dynamics of infinite-dimensional groups and Ramsey-type phenomena. 2005. (Seminário).

Petit groupe de travail sur la conjecture de Connes (CIRM).Une classe des groupes hyperlinéaires. 2005. (Encontro).

Séminaire ``l'initiation \`a l'Analyse'' de l'Université Paris 6.L'espace métrique universel d'Urysohn comme object d'Analyse: stabilité par oscillations. 2005. (Seminário).

Séminaire d'Algèbres d'Opérateurs de l'Université Paris 6.Sur quelques propriétés géomètriques et dynamiques des groupes unitaires d'algèbres d'opérateurs et des groupes pleins associés aux relations d'équivalence mesurées. 2005. (Seminário).

Seminar of the advanced computation and modelling group of the Australian National University.On the geometric aspects of indexing into multidimensional datasets for similarity search. 2005. (Seminário).

Seminar on topology and analysis of the Institute for Advanced Studies in Mathematics of the Ben-Gurion University of the Negev.Mini-curso ``Large groups and their unusual properties'' (2 horas). 2005. (Oficina).

19-th Summer Topology Conference. Recent influences on topological groups by geometric functional analysis and Ramsey theory. 2004. (Congresso).

8-th Canadian Symposium on Abstract Harmonic Analysis. Some recent links between topological transformation groups, geometric functional analysis, and Ramsey theory (one-hour invited talk). 2004. (Congresso).

Huitième atelier international de théorie des ensembles (CIRM).Dynamics of infinite-dimensional groups and Ramsey-type phenomena. 2004. (Oficina).

Invited minicourse at Nipissing University.Three lectures on large groups. 2004. (Oficina).

Joint meeting between the New Zealand Mathematical Society and Israel Mathematical Union. Oscillation stability in topological groups. 2004. (Congresso).

Mathematics Colloquium, Queen's University.Dynamics of large groups and Ramsey-type phenomena. 2004. (Seminário).

Ottawa-Carleton Joint Analysis Seminar.Some interesting recent properties of uncountable groups. 2004. (Seminário).

Séminaire de l'équipe de logique, Université Paris 7.Propriétés dynamiques de groupes de dimension infinite et résultats de type Ramsey. 2004. (Seminário).

Session on ``General Topology and Topological Algebra'' of the 2004 Summer Meeting of the Canadian Mathematical Society. On topological subgroups of the unitary group. 2004. (Congresso).

Special session on Topological Dynamics and Ergodic Theory of the Joint Mathematical Meetings. Some recent links of topological transformation groups with geometric functional analysis and Ramsey theory. 2004. (Congresso).

Colóquio da Scuola Internazionale Superiore di Studi Avanzati di Trieste.Phenomenon of concentration of measure and transformation groups. 2003. (Seminário).

International Conference on group theory: combinatorial, geometric, and dynamical aspects of infinite groups. Extremely amenable groups. 2003. (Congresso).

Mathematics Colloquium, Nipissing University.Some recent trends in theory of `infinite-dimensional' topological groups. 2003. (Seminário).

Mathematics Colloquium of Tel-Aviv University.Ramsey theory and topological dynamics of infinite dimensional groups. 2003. (Seminário).

New Professor's Lecture Series.Geometry in High Dimensions. 2003. (Seminário).

Ottawa-Carleton Joint Colloquium.Topological groups 50 years after Montgomery and Zippin: an apologia. 2003. (Seminário).

Special session on Operator Algebras of the 2003 Winter Meeting of the Canadian Mathematical Society. Distortion property and the infinite unitary group. 2003. (Congresso).

University of Ottawa --- CRM Lie Day. An Introduction to Supergroups. 2003. (Congresso).

University of Ottawa Logic Seminar.Nonstandard analysis form a user's perspective. 2003. (Seminário).

Fields Institute workshop on descriptive set theory and Polish group actions.The fixed point on compacta property of topological groups (one-hour invited lecture). 2002. (Simpósio).

Session on Operator Algebras of the 2002 Winter Meeting of the Canadian Mathematical Society. The fixed point on compacta property of some topological groups related to operator algebras and ergodic theory. 2002. (Congresso).

1992 New Zealand Mathematics Colloquium. On inifinite-dimensional supergroups. 1992. (Congresso).

1991 Winter Meeting of the Canadian Mathematical Society. Free Banach-Lie algebras, couniversal Banach-Lie groups, and more. 1991. (Congresso).

Anwendungen der Infinitesimalmathematik.An invitation to nonstandard superanalysis. 1990. (Encontro).

International Mal'cev Algebraic Conference. Nonstandard hulls of Banach-Lie groups and algebras. 1989. (Congresso).

2a conferência dos jovens pesquisadores da Sibéria e o Extremo Oriente. O fecho não standard dos grupos e álgebras de Lie-Banach (em russo). 1988. (Congresso).

2a Escola Siberiana de Álgebra e Análise.O fecho não standard dos grupos e álgebras de Lie-Banach. 1988. (Oficina).

Conferência Topológica Internacional de Baku. Sobre alguns antigos e novos problemas na teoria dos grupos topológicos (em russo). 1987. (Congresso).

Encontro topológico memorial dedicado ao Paul Alexandroff.Sobre os grupos topológicos livres. 1987. (Simpósio).

18a conferência nacional soviética de Álgebra. Existe um funtor injetivo da categoria dos espaços de Tychonoff na categoria dos grupos topológicos separados. 1985. (Congresso).

5o Simpósio de Tiraspol sobre a topologia geral e suas aplicações. Sobre dois problemas na teoria dos grupos topológicos. 1985. (Congresso).

1a conferência de álgebra topológica de Tiraspol. Sobre a estrutura e as aplicações dos grupos topológicos livres. 1984. (Congresso).

Encontro topológico memorial dedicado ao Paul Alexandroff. Representações dos grupos topológicos e os espaços de Banach livres. 1984. (Congresso).

17a conferência nacional de Álgebra da URSS. Vizinhanças da unidade nos grupos topológicos livres. 1983. (Congresso).

Quarta conferência dos jovens pesquisadores da Universidade de Moscou, secção matemática. Sobre os grupos topológicos livres e os espaços das funções contínuas (em russo). 1982. (Congresso).

Terça conferência dos jovens pesquisadores da Universidade de Moscou, secção matemática. Sobre os grupos topológicos livres (em russo). 1981. (Congresso).

Seminário de álgebra topológica da Universidade de Moscou.Cete apresentaçãos da pesquisa entre 1980 e 1983. 1980. (Seminário).

Seminário de Topologia.Quatro apresentações científicas entre 1980 e 1983. 1980. (Seminário).

Conferência científica anual dos estudantes da Universidade de Tomsk.Sobre os corpos ordenados fortemente Dedekind fechados (em russo). 1978. (Simpósio).

Conferência científica anual dos estudantes da Universidade de Kemerovo.Análise sobre corpos ordenados e a função delta de Dirac. 1977. (Simpósio).

Conferência científica anual dos estudantes da Universidade de Tomsk.Analise sobre corpos ordenados e a função delta de Dirac (em russo). 1977. (Simpósio).

Orientou

Rubén Alex Martínez Muñoz

Otimização do classificador k-NN sobre uma família de métricas; Início: 2019; Tese (Doutorado em Matemática e Computação Científica) - Universidade Federal de Santa Catarina, Conselho Nacional de Desenvolvimento Científico e Tecnológico; (Orientador);

Gaël Giordano

Genomic data analysis with Support Feature Machines; Início: 2012; Tese (Doutorado em Estatística) - University of Ottawa; (Orientador);

Yue Dong

Higher Order Neural Networks and Neural Networks for Stream Learning; 2016; Dissertação (Mestrado em Mathematics) - University of Ottawa, Natural Sciences and Engineering Research Council of Canada; Coorientador: Vladimir Pestov;

Stan Hatko

k-Nearest Neighbour Classification of Datasets with a Family of Distances; 2015; Dissertação (Mestrado em Mathematics) - University of Ottawa, University of Ottawa; Orientador: Vladimir Pestov;

Hubert Duan

Applying supervised learning algorithms and a new feature selection method to predict coronary artery disease; 2014; Dissertação (Mestrado em Mathematics) - University of Ottawa, Natural Sciences and Engineering Research Council of Canada; Orientador: Vladimir Pestov;

Igor Artemenko

On Weak Limits and Unimodular Measures; 2013; Dissertação (Mestrado em Mathematics) - University of Ottawa, Natural Sciences and Engineering Research Council of Canada; Orientador: Vladimir Pestov;

Damjan Kalajdzievski

Measurability Aspects of the Compactness Theorem for Sample Compression Schemes; 2012; Dissertação (Mestrado em Statistical Learning Theory) - University of Ottawa, Ontario Graduate Scholarship; Orientador: Vladimir Pestov;

Ilya Volnyansky

Curse of Dimensionality in the Application of Pivot-based Indexes to the Similarity Search Problem; 2009; Dissertação (Mestrado em Métodos matemáticos na informática) - University of Ottawa, University of Ottawa; Orientador: Vladimir Pestov;

Verne Cazaubon

In search of a Lebesgue density theorem for R^\infty; 2008; Dissertação (Mestrado em Análise abstrata) - University of Ottawa, Canada Department of Foreign Affairs and Trade; Orientador: Vladimir Pestov;

Yousef Al-Gadid

A new characterization of topologically amenable groups; 2007; Dissertação (Mestrado em Análise abstrata) - University of Ottawa, O governo da Líbia; Orientador: Vladimir Pestov;

Todd Rangiwhetu

Concentration and group representations in Banach spaces; 2002; Dissertação (Mestrado em análise abstrata) - Victoria University of Wellington, Victoria University of Wellington; Orientador: Vladimir Pestov;

Siofilisi Hingano

Uniform structures and uniformly continuous functions on topological groups and their factor spaces; 2001; Dissertação (Mestrado em análise abstrata) - Victoria University of Wellington, New Zealand International Aid and Development Agency; Orientador: Vladimir Pestov;

Luiz Gustavo Cordeiro

Soficity and other dynamical aspects of groupoids and inverse semigroups; 2018; Tese (Doutorado em Abstract Analysis) - University of Ottawa, Coordenação de Aperfeiçoamento de Pessoal de Nível Superior; Coorientador: Vladimir Pestov;

Sushma Kumari

Topics in random matrices and statistical learning theory; 2018; Tese (Doutorado em Matemática) - Kyoto University,; Orientador: Vladimir Pestov;

Micheal Pawliuk

Amenability and Unique Ergodicity of the Automorphism Groups of all Countable Homogeneous Directed Graphs; 2015; Tese (Doutorado em Teoria de conjuntos e lógica) - University of Toronto,; Coorientador: Vladimir Pestov;

Brice Rodrigue Mbombo

Actions des groupes topologiques sur les objets universels; 2012; Tese (Doutorado em Analyse fonctionnelle) - Université de Yaoundé I, Canada Department of Foreign Affairs and Trade; Orientador: Vladimir Pestov;

Aleksandar Stojmirovic

Quasi-metrics, Similarities and Searches: aspects of geometry of protein datasets; 2005; Tese (Doutorado em Métodos matemáticos na bioinformatica) - Victoria University of Wellington, New Zealand Foundation for Research, Science and Technology; Orientador: Vladimir Pestov;

Edson Cilos Vargas Junior

2019; Universidade Federal de Santa Catarina, Conselho Nacional de Desenvolvimento Científico e Tecnológico; Vladimir Pestov;

Friedrich Martin Schneider

2018; Universidade Federal de Santa Catarina, Conselho Nacional de Desenvolvimento Científico e Tecnológico; Vladimir Pestov;

Brice Rodrigue Mbombo Dempowo

2017; University of Ottawa, University of Ottawa; Vladimir Pestov;

Charles Starling

2015; University of Ottawa, University of Ottawa; Vladimir Pestov;

Tristan Bice

2014; Universidade Federal de Santa Catarina, Coordenação de Aperfeiçoamento de Pessoal de Nível Superior; Vladimir Pestov;

Aleksandar Stojmirovic

2006; University of Ottawa, University of Ottawa; Vladimir Pestov;

Finlay Thompson

2000; Victoria University of Wellington, Marsden Fund; Vladimir Pestov;

Warren Moors

2000; Victoria University of Wellington, Marsden Fund; Vladimir Pestov;

Xueying Han

Some variations on the k-NN classifier in supervised and semi-supervised learning; 2022; Trabalho de Conclusão de Curso; (Graduação em Matemática) - University of Ottawa; Orientador: Vladimir Pestov;

Sabrina Sixta

Analysis of Text Categorization, Intrinsic Dimension, and -Covering Numbers on Financial Data; 2014; Trabalho de Conclusão de Curso; (Graduação em Matemática) - University of Ottawa; Orientador: Vladimir Pestov;

Christian Despres

The Vapnik-Chervonenkis dimension of norms on R^d; 2014; Trabalho de Conclusão de Curso; (Graduação em Matemática) - University of Ottawa; Orientador: Vladimir Pestov;

Yue Dong

The Misclassification Error of the k- Nearest Neighbors Classifier and Intrinsic Dimension of Data; 2014; Trabalho de Conclusão de Curso; (Graduação em Matemática) - University of Ottawa; Orientador: Vladimir Pestov;

Stan Hatko

Borel Isomorphic Dimensionality Reduction of Data and Supervised Learning; 2013; Trabalho de Conclusão de Curso; (Graduação em Matemática) - University of Ottawa; Orientador: Vladimir Pestov;

Andreï Faustov

Álgebras de Hilbert-Grassmann; 1990; Trabalho de Conclusão de Curso; (Graduação em Matemática) - Tomsk State University; Orientador: Vladimir Pestov;

Lyudmila Golomidova

Representações de supergrupos nos espaços de Banach graduados; 1989; Trabalho de Conclusão de Curso; (Graduação em Matemática) - Tomsk State University; Orientador: Vladimir Pestov;

Yana Dobronravova

Representações de supergrupos nos espaços de Banach graduados não-arquimedeanos; 1989; Trabalho de Conclusão de Curso; (Graduação em Matemática) - Tomsk State University; Orientador: Vladimir Pestov;

Olga Shirokova

Representações de grupos topológicos nos espaços de Banach não-arquimedeanos; 1988; Trabalho de Conclusão de Curso; (Graduação em Matemática) - Tomsk State University; Orientador: Vladimir Pestov;

Natalia Amelina

Espaços de Banach graduados não-arquimedianos; 1988; Trabalho de Conclusão de Curso; (Graduação em Matemática) - Tomsk State University; Orientador: Vladimir Pestov;

Sabrina Sixta

Intrinsic Dimension and -Covering Number Tests on Financial Data; 2014; Iniciação Científica - University of Ottawa; Orientador: Vladimir Pestov;

Christian Despres

The Vapnik-Chervonenkis dimension of norms on R^d; 2014; Iniciação Científica - University of Ottawa; Orientador: Vladimir Pestov;

Émilie Idène

Estimating the intrinsic dimension of the CERN boson dataset; 2014; Iniciação Científica - University of Ottawa; Orientador: Vladimir Pestov;

Yue Dong

Consistency of the k-NN classifier in Banach spaces; 2013; Iniciação Científica - University of Ottawa; Orientador: Vladimir Pestov;

Stan Hatko

Dimensionality reduction for statistical classifiers using Borel isomorphisms; 2013; Iniciação Científica - University of Ottawa; Orientador: Vladimir Pestov;

Varun Singla

A classifier based on approximate nearest neighbour search; 2012; Iniciação Científica - University of Ottawa, The Mathematics of Information Technology and Complex Systems; Orientador: Vladimir Pestov;

Jason Pólak

Sófic groups; 2006; Iniciação Científica - University of Ottawa, Natural Sciences and Engineering Research Council of Canada; Orientador: Vladimir Pestov;

Adrian Maler

Hyperilnear groups; 2006; Iniciação Científica - University of Ottawa, Natural Sciences and Engineering Research Council of Canada; Orientador: Vladimir Pestov;

Sebastian Dewhurst

In search of a model for the Urysohn metric space; 2005; Iniciação Científica - University of Ottawa; Orientador: Vladimir Pestov;

Andreï Faustov

Contratilidade do grupo linear geral do espaço de Hilbert separável; 1986; Iniciação Científica - Tomsk State University; Orientador: Vladimir Pestov;

Produções bibliográficas

PESTOV, VLADIMIR G. . On a result of K. P. Hart about non-existence of measurable solutions to the discrete expectation maximization problem. Commentationes Mathematicae Universitatis Carolinae , v. 64, p. 353-358, 2024.
KUMARI, SUSHMA ; Pestov, V.G. . Universal consistency of the -NN rule in metric spaces and Nagata dimension. II. ESAIM. Probabilités et Statistique , v. 28, p. 132-160, 2024.
Pestov, Vladimir . A universally consistent learning rule with a universally monotone error. JOURNAL OF MACHINE LEARNING RESEARCH , v. 23, p. 1-27, 2022.
Pestov, Vladimir G. ; Uspenskij, V.V. . On epimorphisms in some categories of infinite-dimensional Lie groups. JOURNAL OF LIE THEORY , v. 31, p. 871-884, 2021.
Pestov, Vladimir G. . A note on the groups of finite type and the Hartman-Mycielski construction. COLLOQUIUM MATHEMATICUM , v. 164, p. 171-174, 2020.
Collins, Benoît ; KUMARI, SUSHMA ; Pestov, Vladimir . Universal consistency of the $k$-NN rule in metric spaces and Nagata dimension. ESAIM. Probabilités et Statistique , v. 24, p. 914-934, 2020.
Pestov, Vladimir . An amenability-like property of finite energy path and loop groups. Comptes Rendus. Mathématique , v. 358, p. 1139-1155, 2020.
Pestov, Vladimir G. . Amenability versus property $(T)$ for non-locally compact topological groups. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY , v. 370, p. 7417-7436, 2018.
BARROSO, C. ; Mbombo, Brice R. ; Pestov, Vladimir G. . On topological groups with an approximate fixed point property.. ANAIS DA ACADEMIA BRASILEIRA DE CIENCIAS , v. 89, p. 19-30, 2017.
Leiderman, A ; Pestov, Vladimir G. ; Artur H. Tomita . On topological groups admitting a base at identity indexed with \omega^\omega. Fundamenta Mathematicae , v. 238, p. 79-100, 2017.
Pestov, Vladimir G. . A topological transformation group without non-trivial equivariant compactifications. Advances in Mathematics (New York. 1965) , v. 311, p. 1-17, 2017.
Pestov, Vladimir G. ; SCHNEIDER, FRIEDRICH MARTIN . On amenability and groups of measurable maps. JOURNAL OF FUNCTIONAL ANALYSIS , v. 273, p. 3859-3874, 2017.
Pestov, V. G. ; Uspenskij, V.V. . Projectively universal countable metrizable groups.. Proceedings of the American Mathematical Society , v. 144, p. 4527-4532, 2016.
Pestov, Vladimir G. . Ultrafilters and ultralimits. LECTURE NOTES IN MATHEMATICS , v. 2136, p. 117-140, 2015.
GONÇALVES, MARIA INEZ CARDOSO ; Pestov, Vladimir G. . Isometries of a generalized numerical radius on compact operators. Linear Algebra and its Applications , v. 450, p. 301-315, 2014.
PESTOV, V . PAC learnability under non-atomic measures: A problem by Vidyasagar. Theoretical Computer Science , v. 473, p. 29-45, 2013.
Pestov, Vladimir . Lower Bounds on Performance of Metric Tree Indexing Schemes for Exact Similarity Search in High Dimensions. Algorithmica (New York. Internet) , v. 66, p. 310-328, 2013.
Pestov, Vladimir . Indexability, concentration, and VC theory. Journal of Discrete Algorithms (Print) , v. 13, p. 2-18, 2012.
Mbombo, Brice R. ; Pestov, Vladimir G. . Subgroups of isometries of UrysohnKattov metric spaces of uncountable density. Topology and its Applications , v. 159, p. 2490-2496, 2012.
Pestov, Vladimir . Is the -NN classifier in high dimensions affected by the curse of dimensionality?. COMPUTERS & MATHEMATICS WITH APPLICATIONS , v. 65, p. 1427-1437, 2012.
AL-GADID, Y. ; MBOMBO, B. R. ; PESTOV, V . Sur les espaces test pour la moyennabilité. Comptes Rendus Mathématiques de l'Académie des Sciences , v. 33, p. 65-77, 2011.
Nguyen Van Thé, Lionel ; Pestov, Vladimir G. . Fixed point-free isometric actions of topological groups on Banach spaces. Bulletin of the Belgian Mathematical Society Simon Stevin , v. 17, p. 29-51, 2010.
PESTOV, V . Intrinsic dimensionality. SIGSPATIAL Special , v. 2, p. 8-11, 2010.
PESTOV, V. . Hyperlinear and sofic groups: a brief guide. The Bulletin of Symbolic Logic , v. 14, p. 449-480, 2008.
PESTOV, V . A theorem of HrushovskiSoleckiVershik applied to uniform and coarse embeddings of the Urysohn metric space. Topology and its Applications , v. 155, p. 1561-1575, 2008.
PESTOV, V . An axiomatic approach to intrinsic dimension of a dataset?. Neural Networks , v. 21, p. 204-213, 2008.
PESTOV, V . The isometry group of the Urysohn space as a Lévy group. Topology and its Applications , v. 154, p. 2173-2184, 2007.
THIERRY, G. ; Pestov, Vladimir . SOME EXTREMELY AMENABLE GROUPS RELATED TO OPERATOR ALGEBRAS AND ERGODIC THEORY. Journal of the Institute of Mathematics of Jussieu , v. 6, p. 279, 2007.
STOJMIROVIC, A ; PESTOV, V . Indexing schemes for similarity search in datasets of short protein fragments. Information Systems , v. 32, p. 1145-1165, 2007.
PESTOV, V ; Uspenskij, V.V. . Representations of residually finite groups by isometries of the Urysohn space. Journal of the Ramanujan Mathematical Society , v. 21, p. 189-203, 2006.
Pestov, Vladimir ; STOJMIROVIC, A . Indexing schemes for similarity search: an illustrated paradigm. Fundamenta Informaticae , v. 70, p. 367-385, 2006.
Kechris, A. S. ; Pestov, V. G. ; Todorcevic, S. . Fraïssé Limits, Ramsey Theory, and topological dynamics of automorphism groups. Geometric and Functional Analysis , v. 15, p. 106-189, 2005.
Pestov, Vladimir . A corrigendum to the article: Ramsey-milman phenomenon, urysohn metric spaces, and extremely amenable groups. Israel Journal of Mathematics , v. 145, p. 375-379, 2005.
Hegland, Markus ; Pestov, Vladimir . Additive models in high dimensions. ANZIAM Journal , v. 46, p. C1205-C1221, 2005.
Gao, Su ; Pestov, Vladimir . On a universality property of some abelian Polish groups. Fundamenta Mathematicae , v. 179, p. 1-15, 2003.
Kechris, A. S. ; Pestov, V.G. ; Todorcevic, S. . Universal minimal flows of automorphism groups. Bull. Cl. Sci. Math. Nat. Sci. Math. , v. 28, p. 93-106, 2003.
Pestov, V.G. . On some questions of Eymard and Bekka concerning amenability of homogeneous spaces and induced representations. Comptes Rendus Mathématiques de l'Académie des Sciences , v. 25, p. 76-81, 2003.
Pestov, Vladimir . Ramsey-Milman phenomenon, Urysohn metric spaces, and extremely amenable groups. ISRAEL JOURNAL OF MATHEMATICS , v. 127, p. 317-357, 2002.
GIORDANO, T ; PESTOV, V . Some extremely amenable groups. Comptes Rendus. Mathématique , v. 334, p. 273-278, 2002.
PESTOV, V . MM-spaces and group actions. L'Enseignement Mathématique , v. 48, p. 209-236, 2002.
PESTOV, V . On the geometry of similarity search: Dimensionality curse and concentration of measure. INFORMATION PROCESSING LETTERS , v. 73, p. 47-51, 2000.
Pestov, V.G. . Amenable representations and dynamics of the unit sphere in an infinite-dimensional Hilbert space. Geometric and Functional Analysis , v. 10, p. 1171-1201, 2000.
Morris, Sidney A. ; Pestov, Vladimir . Subgroups of monothetic groups. Journal of Group Theory , v. 3, p. 407-417, 2000.
Bruzzo, Ugo ; Pestov, Vladimir . On the notion of compactness in supergeometry. Bulletin of the Australian Mathematical Society , v. 61, p. 473, 2000.
PESTOV, V . Two 1935 questions of Mazur about polynomials in Banach spaces: counter-examples. Quaestiones Mathematicae , v. 23, p. 235-240, 2000.
Morris, Sidney A. ; Nickolas, P. ; PESTOV, V . Limit laws for wide varieties of topological groups II. Houston Journal of Mathematics , v. 26, p. 17-27, 2000.
PESTOV, V . The concentration phenomenon and topological groups. Topology Atlas Invited Contributions , v. 5, p. 5-10, 2000.
Kohzo, Y. ; PESTOV, V . Free topological groups on metrizable spaces and inductive limits. Topology and its Applications , v. 98, p. 291-301, 1999.
Bruzzo, U ; PESTOV, V. . On the structure of DeWitt supermanifolds. Journal of Geometry and Physics , v. 30, p. 147-168, 1999.
PESTOV, V . Amenable groups and measure concentration on spheres. Comptes Rendus de l'Académie des Sciences. Série 1, Mathématique , v. 328, p. 669-674, 1999.
Pestov, Vladimir G. . Topological groups: where to from here?. Topology Proceedings , v. 24, p. 421-502, 1999.
PESTOV, V . Independence of almost periodicity upon the topology of the acting group. Topology and its Applications , v. 90, p. 223-225, 1998.
Morris, Sidney A. ; Pestov, Vladimir G. . On Lie groups in varieties of topological groups. Colloquium Mathematicum , v. 78, p. 39-47, 1998.
Pestov, Vladimir G. . On free actions, minimal flows, and a problem by Ellis. Transactions of the American Mathematical Society , v. 350, p. 4149-4165, 1998.
Bartocci, C ; Bruzzo, U ; Hernández Ruipérez, D. ; PESTOV, V . Quotient supermanifolds. Bulletin of the Australian Mathematical Society , v. 58, p. 107-120, 1998.
Pestov, Vladimir G. ; Shakhmatov, D. . A relatively free topological group that is not varietal free. Colloquium Mathematicum , v. 77, p. 1-8, 1998.
Morris, Sidney A. ; Pestov, Vladimir G. . A topological generalization of the Higman--Neumann--Neumann theorem. Journal of Group Theory , v. 2, p. 181-187, 1998.
Pestov, Vladimir . Some universal constructions in abstract topological dynamics. Contemporary Mathematics. American Mathematical Society , v. 215, p. 83-99, 1998.
Leiderman, A ; Levin, M. ; Pestov, Vladimir . On linear continuous open surjections of the spaces CP(X). Topology and its Applications , v. 81, p. 269-279, 1997.
Leiderman, A ; Morris, Sidney A. ; Pestov, Vladimir G. . The free abelian topological group and the free locally convex space on the unit interval. Journal of the London Mathematical Society , v. 56, p. 529-538, 1997.
Pestov, Vladimir G. . Epimorphisms of Hausdorff groups by way of topological dynamics. New Zealand Journal of Mathematics , v. 26, p. 257-262, 1997.
Megrelishvili, M. ; Nickolas, P. ; Pestov, Vladimir . Uniformities and uniformly continuous functions on locally connected groups. Bulletin of the Australian Mathematical Society , v. 56, p. 279-283, 1997.
Hofmann, K.H. ; Morris, Sidney A. ; Nickolas, P. ; PESTOV, V . Small large subgroups of a topological group. Note di Matematica. Università Degli Studi di Lecce , v. 14, p. 161-165, 1997.
Kopperman, R.D. ; Mislowe, M.W. ; Morris, Sidney A. ; Nickolas, P. ; PESTOV, V ; Svetlichny, S. . Limit laws for wide varieties of topological groups. Houston Journal of Mathematics , v. 22, p. 307-328, 1996.
Pestov, Vladimir . Regular Lie groups and a theorem of Lie-Palais. Journal of Lie Theory , v. 5, p. 173-178, 1995.
Pestov, Vladimir G. . Free abelian topological groups and the Pontryagin--van Kampen duality. Bulletin of the Australian Mathematical Society , v. 52, p. 297-311, 1995.
Pestov, Vladimir G. . Correction to: ``Free Banach-Lie algebras, couniversal Banach-Lie groups, and more''. Pacific Journal of Mathematics , v. 171, p. 585-588, 1995.
PESTOV, V . Operator Spaces and Residually Finite-Dimensional C*-Algebras. Journal of Functional Analysis , v. 123, p. 308-317, 1994.
Pestov, Vladimir . Douady's conjecture on Banach analytic spaces. Comptes Rendus Mathématiques de l'Académie des Sciences , v. 319, p. 1043-1048, 1994.
Pestov, Vladimir G. . Analysis on superspace: an overview. Bulletin of the Australian Mathematical Society , v. 50, p. 135-165, 1994.
Pestov, Vladimir G. . A remark on embedding topological groups into products. Bulletin of the Australian Mathematical Society , v. 49, p. 519-521, 1994.
PESTOV, V . On enlargability of infinite-dimensional lie superalgebras. Journal of Geometry and Physics , v. 10, p. 295-314, 1993.
Bartocci, C ; Bruzzo, U ; Hernández Ruipérez, D. ; Pestov, Vladimir G. . Foundations of supermanifold theory: the axiomatic approach. Differential Geometry and Its Applications , v. 3, p. 135-155, 1993.
Morris, Sidney A. ; Pestov, Vladimir G. . Open subgroups of free abelian topological groups. Mathematical Proceedings of the Cambridge Philosophical Society , v. 114, p. 439-442, 1993.
Pestov, Vladimir G. . An analytic structure emerging in the presence of infinitely many odd coordinates. New Zealand Journal of Mathematics , v. 22, p. 75-84, 1993.
Pestov, Vladimir G. . Soul expansion of $G^\infty$ superfunctions. Journal of Mathematical Physics , v. 34, p. 3316-3323, 1993.
Pestov, Vladimir G. . Universal arrows to forgetful functors from categories of topological algebra. Bulletin of the Australian Mathematical Society , v. 48, p. 209-249, 1993.
Pestov, Vladimir G. . Enlargeable Banach-Lie algebras and free topological groups. Bulletin of the Australian Mathematical Society , v. 48, p. 13-22, 1993.
Pestov, Vladimir G. . Free Banach-Lie algebras, couniversal Banach-Lie groups, and more. Pacific Journal of Mathematics , v. 157, p. 137-144, 1993.
Pestov, Vladimir G. . A correspondence between finite-dimensional Lie superalgebras and supergroups. Extracta Mathematicae , v. 7, p. 119-125, 1992.
Pestov, Vladimir G. . Nonstandard hulls of Banach-Lie groups and algebras. Nova Journal of Algebra and Geometry , v. 1, p. 371-384, 1992.
Pestov, Vladimir G. . General construction of Banach-Grassmann algebras. Atti della Accademia Nazionale dei Lincei. Rendiconti Lincei. Matematica e Applicazioni , v. 3, p. 223-231, 1992.
Pestov, Vladimir G. . A contribution to nonstandard superanalysis. Journal of Mathematical Physics , v. 33, p. 3263-3273, 1992.
Bartocci, C ; Bruzzo, U ; Hernández Ruipérez, D. ; Pestov, Vladimir G. . On an axiomatic approach to supermanifolds. Soviet Mathematics. Doklady , v. 44, p. 744-748, 1992.
Pestov, V.G. . Nonstandard hulls of normed Grassmann algebras and their application in superanalysis. Soviet Mathematics. Doklady , v. 43, p. 456-460, 1992.
PESTOV, V . Ground Algebras for superanalysis. Reports on Mathematical Physics , v. 29, p. 275-287, 1991.
Pestov, Vladimir G. . On a valuation field invented by A. Robinson and certain structures connected with it. Israel Journal of Mathematics , v. 74, p. 65-79, 1991.
Pestov, Vladimir G. . Even sectors of Lie superalgebras as locally convex Lie algebras. Journal of Mathematical Physics , v. 32, p. 24-32, 1991.
Pestov, Vladimir G. . On a valuation field invented by A. Robinson and structures connected with it. Soviet Mathematics. Doklady , v. 40, p. 482-485, 1990.
Arhangel'skii, A ; Okunev, O.G. ; Pestov, V. G. . Free topological groups over metrizable spaces. Topology and its Applications , v. 33, p. 63-76, 1989.
Pestov, Vladimir G. . Interpreting superanalyticity in terms of convergent series. Classical and Quantum Gravity , v. 6, p. L145-L149, 1989.
Pestov, Vladimir G. . On a `super' version of Lie's third fundamental theorem. Letters in Mathematical Physics , v. 18, p. 27-33, 1989.
Pestov, Vladimir . Fermeture non standard des groupes et algèbres de Lie banachiques. Comptes Rendus de l'Académie des Sciences. Série 1, Mathématique , v. 306, p. 643-645, 1988.
Pestov, V.G. . On unconditionally closed sets and a conjecture of A.A. Markov. Siberian Mathematical Journal , v. 29, p. 260-266, 1988.
Pestov, V. G. . A test of balance of a locally compact group. Ukrainian Mathematical Journal , v. 40, p. 109-111, 1988.
Pestov, V.G. . A categoria dos espaços de Tychonoff mergulha-se na categoria dos grupos topológicos como uma sub-categoria. Soobshcheniya Akademii Nauk Gruzinsko SSR , v. 128, p. 257-259, 1987.
Pestov, V.G. . Thin sets in topological groups and a new precompactness criterion. Russian Mathematics , v. 31, p. 81-84, 1987.
Pestov, V. G. . Homomorphisms of topological groups that cannot be factorized by weight and dimension. Mathematical Notes of the Academy of Sciences of the USSR (Cessou em 1991. Cont. 1067-9073 Mathematical Notes) , v. 41, p. 226-228, 1987.
Pestov, V. G. . Compactly generated topological groups. Mathematical Notes of the Academy of Sciences of the USSR (Cessou em 1991. Cont. 1067-9073 Mathematical Notes) , v. 40, p. 880-882, 1986.
Pestov, V.G. ; Shakhmatov, D. . Continuous homomorphic images of groups with a countable base do not exhaust all groups with a countable network. Moscow Univ. Math. Bull. , v. 41, p. 92-95, 1986.
Pestov, V. G. . Free Banach spaces and representations of topological groups. Functional Analysis and its Applications , v. 20, p. 70-72, 1986.
Pestov, V.G. . Free topological abelian groups and the Pontryagin duality. Mosc. Univ. Math. Bull. , v. 41, p. 1-4, 1986.
Pestov, V. G. . An example of a nonmetrizable minimal topological group whose identity is of type G?. Ukrainian Mathematical Journal , v. 37, p. 655-656, 1986.
Pestov, V.G. . The class of almost metrizable topological groups is not closed under extensions. Mosc. Univ. Math. Bull. , v. 40, p. 74-76, 1985.
Pestov, V.G. . Neighborhoods of identity in free topological groups. Mosc. Univ. Math. Bull. , v. 40, p. 8-12, 1985.
Pestov, V.G. . Some topological properties preserved by the relation of $M$-equivalence. Russian Mathematical Surveys , v. 39, p. 223-224, 1984.
Okromeshko, N.G. ; Pestov, V.G. . On a construction of A.S. Mishchenko in the theory of homogenuos spaces. Mosc. Univ. Math. Bull. , v. 39, p. 33-37, 1984.
Pestov, V.G. . The coincidence of the dimensions dim of $l$-equivalent topological spaces. DOKLADY MATHEMATICS , v. 26, p. 380-382, 1982.
Pestov, V. G. . Embeddings and contractions of topological groups. Mathematical Notes of the Academy of Sciences of the USSR (Cessou em 1991. Cont. 1067-9073 Mathematical Notes) , v. 31, p. 228-230, 1982.
Pestov, V.G. . Some properties of free topological groups. Mosc. Univ. Math. Bull. , v. 37, p. 46-49, 1982.
PESTOV, VLADIMIR G. . Grupos de caminhos e laços, medida de Wiener, e médias invariantes. 1. ed. Rio de Janeiro: Sociedade Brasileira de Matemática, 2023. v. 1. 66p .
Pestov, Vladimir G. . Elementos da teoria de aprendizagem de máquina supervisionada. 1. ed. Rio de Janeiro: Instituto de Matemática Pura e Aplicada (IMPA), 2019. 488p .
LUDWIG, M. (Org.) ; MILMAN, V. D. (Org.) ; Pestov, Vladimir (Org.) ; TOMCZAK-JAEGERMANN, N. (Org.) . Asymptotic Geometric Analysis: Proceedings of the Fall 2010 Fields Institute Thematic Program. Fields institute communications series. 1. ed. Berlin: Springer, 2013. v. 1. 408p .
NAVARRO, G. (Org.) ; PESTOV, V. (Org.) . Similarity Search and Applications: 5th International Conference, SISAP 2012, Toronto, ON, Canada, August 9-10, 2012, Proceedings. 1. ed. Heidelberg: Springer-Verlag, 2012. v. 1. 255p .
Pestov, Vladimir . Dynamics of Infinite-Dimensional Groups: the Ramsey-Dvoretzky-Milman phenomenon. 1. ed. Providence, R.I.: American Mathematical Society, 2006. v. 1. 192p .
PESTOV, V. . Dynamics of Infinite-Dimensional Groups and Ramsey-Type Phenomena. Rio de Janeiro: IMPA, 2005. iv + 241p .
Pestov, Vladimir G. ; KWIATKOWSKA, A. . An introduction to hyperlinear and sofic groups. In: James Cummings, Ernest Schimmerling. (Org.). Appalachian Set Theory 2006-2012. London Mathematical Society Lecture Notes Series. 1ed.: Cambridge University Press, 2012, v. 406, p. 145-186.
Pestov, Vladimir G. . Forty-plus annotated questions about large topological groups. In: Elliott M. Pearl. (Org.). Open Problems in Topology II. Amsterdam: Elsevier BV., 2007, v. , p. 439-450.
PESTOV, V . A research project inspired by A. Robinson's seventh metamathematical problem. Monad/Nonstandard Analysis Newsletter, Victoria, B.C., Canada, p. 8 - 16.
DUAN, H. ; PESTOV, V. ; SINGLA, V. . Text categorization via similarity search: an efficient and effective novel algorithm. In: 6th International Conference on Similarity Search and Applications (SISAP 2013), 2013, A Corua. Lecture Notes in Computer Science. Heidelberg New York London: Springer, 2013. v. 8199. p. 182-193.
STOJMIROVIC, A ; ANDREAE, P. ; BOLAND, M. ; JORDAN, T. W. ; Pestov, V.G. . PFMFind: a system for discovery of peptide homology and function. In: 6th International Conference on Similarity Search and Applications (SISAP 2013), 2013, A Corua. Lecture Notes in Computer Science. Heidelberg New York London: Springer, 2013. v. 8199. p. 319-324.
PESTOV, V . Lower bounds on performance of metric tree indexing schemes for exact similarity search in high dimensions. In: e 4th International Conference on Similarity Search and Applications (SISAP 2011), 2011, Lipari, Itália. Proceedings of the 4th International Conference on Similarity Search and Applications (SISAP 2011). New York, NY: Association for Computer Machinery, 2011. p. 25-32.
PESTOV, V . PAC learnability versus VC dimension: a footnote to a basic result of statistical learning. In: 2011 International Joint Confernce on Neural Networks (IJCNN'2011), 2011, San José, CA. Proc. 2011 International Joint Confernce on Neural Networks (IJCNN'2011), San José, CA (July 30 - Aug. 5, 2011), 2011. p. 1141-1145.
PESTOV, V . Concentration of measure and whirly actions of Polish groups. In: 1st Mathematical Society of Japan Seasonal Institute, 2010, Kyoto. Advanced Studies in Pure Mathematics. Tokyo: Mathematical Society of Japan, 2010. v. 57. p. 383-403.
PESTOV, V . Predictive PAC learnability: a paradigm for learning from exchangeable input data. In: IEEE International Symposium on Foundations and Practice of Data Mining in the 2010 IEEE Int. Conference on Granular Computing, 2010, San José, California. Proc. 2010 IEEE Int. Conference on Granular Computing. Los Alamitos, CA: IEEE, 2010. p. 387-391.
PESTOV, V . PAC learnability of a concept class under non-atomic measures: a problem by Vidyasagar. In: 21st International Conference on Algorithmic Learning Theory (ALT'2010), 2010, Canberra. Proceedings of the 21st Intern. Conference on Algorithmic Learning Theory (ALT'2010). Berlin Heidelberg New York: Springer, 2010. p. 134-147.
PESTOV, V . A note on sample complexity of learning binary output neural networks under fixed input distributions. In: 2010 Eleventh Brazilian Symposium on Neural Networks (CBRN'2010), 2010, São Bernardo do Campo. Proc. 2010 Eleventh Brazilian Symposium on Neural Networks (CBRN 2010). Los Alamitos-Washington-Tokyo: IEEE Computer Society, 2010. p. 7-12.
Pestov, Vladimir . Indexability, concentration, and VC theory. In: 3rd International Conference on Similarity Search and Applications (SISAP 2010), 2010, Istanbul. Proceedings of the 3rd International Conference on Similarity Search and Applications (SISAP 2010). New York, NY: Association for Computer Machinery (ACM), 2010. p. 3-12.
Volnyansky, Ilya ; Pestov, Vladimir . Curse of dimensionality in pivot-based indexes. In: 2nd International Workshop on Similarity Search and Applications (SISAP 2009), 2009, Praga. Proceedings of the 2nd International Workshop on Similarity Search and Applications (SISAP 2009). Los Alamitos-Washington-Tokyo: IEEE Computer Society, 2009. p. 39-46.
Pestov, Vladimir G. . Intrinsic dimension of a dataset: what properties does one expect?. In: 20th International Joint Conference on Neural Networks (IJCNN'2007), 2007, Orlando, Florida. Proceedings of the 20th International Joint Conference on Neural Networks (IJCNN'2007), 2007. p. 2173-2184.
Pestov, Vladimir G. . Remarks on actions on compacta by some infinite-dimensional groups. In: Infinite-Dimensional Lie Groups in Geometry and Representation Theory, 2002, Washington, D.C.. Infinite-Dimensional Lie Groups in Geometry and Representation Theory. River Edge, NJ: World Scientific Publishing Co., Inc., 2000. p. 145-163.
Megrelishvili, M. ; Pestov, Vladimir G. ; Uspenskij, V.V. . A note on the precompactness of weakly almost periodic groups. In: Nuclear groups and Lie groups, 2001, Madrid. Nuclear groups and Lie groups. Lemgo: Heldermann Verlag, 1999. p. 209-216.
Pestov, Vladimir . A geometric framework for modelling similarity search. In: 10-th Int. Workshop on Database and Expert Systems Applications (DEXA'99), 1999, Firenze, Italia. Proc. 10-th Int. Workshop on Database and Expert Systems Applications (DEXA'99), 1999. p. 150-154.
Pestov, Vladimir G. . Abelian topological groups without irreducible Banach representations. In: Abelian groups, module theory, and topology, 1998, Padua, Italia. Abelian groups, module theory, and topology. Lecture Notes in Pure and Appl. Math., 201. New York: Dekker, 1997. p. 343-349.
Bartocci, C ; Bruzzo, U ; Hernández Ruipérez, D. ; Pestov, Vladimir G. . Supermanifold theory: towards a unifying approach. In: 4th Fall Workshop `Differential Geometry and its applications', 1996, Santiago de Compostela. - Proceedings of the 4th Fall Workshop `Differential Geometry and its applications'. Anales da Fisica, Monografias 3. Madrid: CIEMAT, 1996. p. 1-16.
Pestov, Vladimir . Analytic subsets of Hilbert spaces. In: Colloque trajectorien, 1995, Strasbourg, França. Actes du colloque trajectorien. Publ. IRMA (Strasbourg) 1995-13. Strasbourg: IRMA, 1995. p. 75-80.
Pestov, Vladimir G. . On even collective effects in purely odd superspaces. In: Differential geometric methods in theoretical physics, 1994, Ixtapa-Zihuatanejo. Differential geometric methods in theoretical physics (Ixtapa-Zihuatanejo, 1993). Adv. Appl. Clifford Algebras 4 (1994), Suppl. 1. México: Universidad Nacional Autónoma de México, 1993. p. 157-164.
Pestov, V.G. ; SCHNEIDER, FRIEDRICH MARTIN . On invariant means and pre-syndetic subgroups. TOPOLOGY AND ITS APPLICATIONS , 2024.
Pestov, V.G. . A learning problem whose consistency is equivalent to the non-existence of real-valued measurable cardinals. arXiv, 2020 (pre-publicação).
Pestov, Vladimir . Metrics for image retrieval by colour content. Wellington: Victoria University of Wellington, 1998 (pre-publicação).

Outras produções

PESTOV, V . O classificador k-NN: o antigo e o novo. 2012. .

PESTOV, V . Aproximações de grupos, grafos e sistemas dinámicos com objetos finitos. 2012. .

PESTOV, V . Introdução à Análise. 2011. (Curso de curta duração ministrado/Especialização).

PESTOV, V . Ultrafiltros e ultralimites. 2011. (Curso de curta duração ministrado/Especialização).

PESTOV, V . Introdução à Análise Abstrata. 2009. (Curso de curta duração ministrado/Especialização).

Pestov, Vladimir G. . Introduçao à Análise Abstrata. 2009. (Desenvolvimento de material didático ou instrucional - Notas do curso).

PESTOV, V . Em torno do teorema de Dvoretzky: onde Análise Funcional Geométrica, Grupos de Transformações e Teoria Combinatória encontram-se. 2008. .

PESTOV, V . Uma introdução matemática à aprendisagem automática estitística. 2008. .

PESTOV, V . Elementos da Análise Geométrica Assintótica: A geometria das altas dimenções e suas aplicações. 2008. .

Pestov, Vladimir G. . Elementos da Análise Geométrica Assintótica: a Geometria de Altas Dimensões e suas Aplicações. 2008. (Desenvolvimento de material didático ou instrucional - Notas do curso).

PESTOV, V . Dynamics of infinite-dimensional groups and Ramsey-type phenomena. 2005. (Curso de curta duração ministrado/Especialização).

Projetos de pesquisa

2012 - Atual

New set-theoretic tools for statistical learning, Descrição: The Discovery research grant of the Natural Sciences and Engineering Research Council of Canada is devoted to the development of new algorithms for supervised statistical machine learning based on results and techniques of descriptive set theory and combinatorics.. , Situação: Em andamento; Natureza: Pesquisa. , Alunos envolvidos: Graduação: (4) / Mestrado acadêmico: (4) / Doutorado: (2) . , Integrantes: Vladimir Pestov - Coordenador., Financiador(es): Natural Sciences and Engineering Research Council - Auxílio financeiro.
2007 - 2012

Geometry of infinite-dimensional groups, Descrição: O objetivo deste projeto de pesquisa, apoiado pelo NSERC, foi de aplicar métodos da teoria de grupos de dimensão infinita, nomeadamente seus aspectos geométricos, dinâmicos e combinatórios, para estudar alguns velhos problemas abertos, incluindo a conjectura de Connes e a conjectura de surjuntivedade de Gottschalk.. , Situação: Concluído; Natureza: Pesquisa. , Alunos envolvidos: Graduação: (3) / Mestrado acadêmico: (5) / Doutorado: (1) . , Integrantes: Vladimir Pestov - Coordenador., Financiador(es): Natural Sciences and Engineering Research Council - Auxílio financeiro.
2003 - 2007

High-dimensional geometry and topological transformation groups, Descrição: O objetivo deste projeto de pesquisa, apoiado pelo NSERC, foi de desenvolver e approfondir as ligações entre a geometria de altas dimensões (análise geométrica assintótica) e as propriedades dinâmicas (topológicas e ergódicas) de grupos de transformações de "dimensão infinita".. , Situação: Concluído; Natureza: Pesquisa. , Alunos envolvidos: Graduação: (2) / Mestrado acadêmico: (1) / Doutorado: (1) . , Integrantes: Vladimir Pestov - Coordenador., Financiador(es): Natural Sciences and Engineering Research Council of Canada - Auxílio financeiro.
2001 - 2003

Geometry of finite-dimensional structures: dynamical aspects, Descrição: Este projeto de pesquisa foi apoiado pelo Marsden Fund (Nova Zelândia). O fenômeno da concentração de medida em estruturas de alta dimensão é um desenvolvimento importante na moderna análise e geometria, manifestando-se através de uma ampla gama de ciências matemáticas. O presente projeto tem explorado os aspectos dinâmicos do fenômeno com o objetivo de alcançar uma compreensão mais profunda da origem dos pontos fixos em sistemas dinâmicos topológicos. de uma forma unificada, um número de concreto abra problemas nos ribeirinhos áreas da matemática.. , Situação: Concluído; Natureza: Pesquisa. , Alunos envolvidos: Mestrado acadêmico: (2) Doutorado: (1) . , Integrantes: Vladimir Pestov - Coordenador., Financiador(es): Marsden Fund - Auxílio financeiro.
1998 - 2001

Foundations of Supergeometry, Descrição: Supergeometry provides a mathematical background for major areas of modern theoretical particle physics. A number of important foundational problems of super- geometry, often cutting across several different fields of mathematics, still remain open. We plan to address them in a consistent new way and expect our work to eventually have an impact on theoretical and mathematical physics. Most importantly, the project will result in a better understanding of the two-way interaction between supergeometry and classical mathematics.. , Situação: Concluído; Natureza: Pesquisa. , Alunos envolvidos: Mestrado acadêmico: (1) . , Integrantes: Vladimir Pestov - Coordenador / Warren Moors - Integrante / Finlay Thompson - Integrante., Financiador(es): Marsden Fund - Auxílio financeiro.

Prêmios

2013

1st Place Award, the 4th Cybersecurity Datamining Competition (CDMC'2013), 20th International Conference on Neural Information Processing (ICONIP2013), Daegu, Korea.

2012

3rd Place Award, 3rd Cybersecurity Datamining Competition (CDMC'2012), 19th International Conference on Neural Information Processing (ICONIP2012), Doha, Qatar.

2001

Victoria University of Wellington Award for Excellence in Research, Victoria University of Wellington, New Zealand.

1995

New Zealand Mathematical Society Award for Mathematical Research, New Zealand Mathematical Society.

Histórico profissional

Endereço profissional

University of Ottawa, Department of Mathematics and Statistics. , 150 Louis-Pasteur Pvt, Ottawa, K1N6N5 - Ottawa, - Canadá, Telefone: (83) 33153340, URL da Homepage:

Experiência profissional

2022 - 2023

Universidade Federal da Paraíba

Vínculo: Bolsista, Enquadramento Funcional: Bolsista DCR, dedicação exclusiva, Regime: Dedicação exclusiva.

Outras informações:
Bolsista do Programa de Desenvolvimento Científico e Tecnológico Regional do Estado da Paraíba, apoiado pelo CNPq e FAPESQ.

2013 - 2022

Universidade Federal de Santa Catarina

Vínculo: Professor Voluntário, Enquadramento Funcional: Professor Voluntário

2019 - 2020

Universidade Federal da Bahia

Vínculo: Servidor Público, Enquadramento Funcional: Professor Visitante Titular, Carga horária: 40, Regime: Dedicação exclusiva.

2017 - Atual

University of Ottawa

Vínculo: Cargo honorário, Enquadramento Funcional: Professor Emérito, Carga horária: 0

2002 - 2017

University of Ottawa

Vínculo: Membro do corpo docente, Enquadramento Funcional: Professor titular, Regime: Dedicação exclusiva.

Outras informações:
O posto em permanência (tenured).

1996 - 2002

Victoria University Of Wellington

Vínculo: Membro do corpo docente, Enquadramento Funcional: Reader em matemática, Regime: Dedicação exclusiva.

Outras informações:
O posto em permanência

1994 - 1995

Victoria University Of Wellington

Vínculo: Membro do corpo docente, Enquadramento Funcional: Senior Lecturer em matemática, Regime: Dedicação exclusiva.

Outras informações:
O posto em permanência

1992 - 1993

Victoria University Of Wellington

Vínculo: Membro do corpo docente, Enquadramento Funcional: Lecturer em matemática, Regime: Dedicação exclusiva.

Outras informações:
O posto em permanência condicional

1991 - 1992

University of Victoria, UVic

Vínculo: Professor vistante, Enquadramento Funcional: Visiting Sessional Lecturer

Outras informações:
Part-time Visiting Sessional Lecturer, teaching load: 2 courses.

1991 - 1992

Camosun College

Vínculo: Professor vistante, Enquadramento Funcional: Part-time Lecturer in Mathematics

1991 - 1991

Università degli Studi di Genova

Vínculo: Professor vistante, Enquadramento Funcional: Professore visitatore dal CNR, Regime: Dedicação exclusiva.

Outras informações:
Bolsista dal Consiglio Nazionale delle Ricerche (CNR).

1988 - 1991

Sobolev Instituto de Matemática

Vínculo: Professor vistante, Enquadramento Funcional: Pesquisador visitante

1986 - 1991

Universidade Federal de Tomsk

Vínculo: Membro do corpo docente, Enquadramento Funcional: Docente em Matemática, Regime: Dedicação exclusiva.

Outras informações:
Posto em permanência, corresponde ao professor associado

1985 - 1986

Universidade Federal de Tomsk

Vínculo: Membro do corpo docente, Enquadramento Funcional: Senior Lecturer em matemática, Regime: Dedicação exclusiva.

1983 - 1985

Universidade Federal de Tomsk

Vínculo: Membro do corpo docente, Enquadramento Funcional: Professor assistente em matemática, Regime: Dedicação exclusiva.