Peter Louis Antonelli

Peter Louis Antonelli was born on March 5th, 1941 in Syracuse New York. He obtained a B. Sc. in '63, a M.Sc. in '65, and a Ph.D. from Syracuse University in ?67. His Thesis was titled "Montgomery-Samelson Fiberings Between manifolds" . While this work was in Algebraic topology, he moved into differential topology while he spent a year at University of Tennessee in Knoxville. From ?68 to '70 he was a National Science Foundation Fellow at the Institute for Advanced Study, in Princeton, New Jersey. Results of his research in singular fiberings theory were published in journals such as Proc. AMS, Proc. Cambridge Phil. Soc. and Can. Math. Soc. While working with P.J. Kahn and D. Burghelea in Princeton he solved the homotopy type of the automorphism groups (TOP, DIFF and PL) of manifolds. Their joint results were published as Lecture Notes in Mathematics 215, Springer-Verlag in 1970, together with a 50 page article in the journal TOPLOGY and 3 Bull. AMS articles, announcing the results and giving a short summary. Since 1970 Antonelli's interests have been in applications in Biology. In 72'-'73, as Visiting Professor at the University of Sussex Biology Department and at the Galton Genetics Laboratory at University College, London he furthered his biological education, begun as a graduate student in Mathematical Biology at the University of Chicago in '63-'64 (as a United States Public Health Service Fellow). In the middle '70's Antonelli used differential geometry to solve diffusion problems in population genetics. Later on, mathematics as a whole became for him a tool to solve problems in science. In 1987 he won a McCulla Professorship at the University of Alberta, for excellence in research.Over the next 20 years he worked with such specialists as N. Kazarinoff, M. Matsumoto, H. Shimada, J. Skowronski, R. Bradbury, P. Sammarco, C. Strobeck, K. Morgan, R. Elliot and R. Seymour. He had a number of outstanding post doctoral fellows at the University of Alberta (37) and these include V. Krivan, T. Zastawniak, B. Lackey, I. Bucataru, D. Hrimiuc and the Brazilian, S. Rutz. Dr. Antonelli has coauthored over 130 research papers in refereed journals and published 12 books most of which concern deterministic and stochastic processes on Riemannian and Finsler manifolds.All of his research has been financed by NSERC in Canada. Some of these works are about his new discovers in pure mathematics ,eg. Finslerian Diffusions and results on Spaces of Locally Constant Connecrtion.Also, he has applied these discoveries to real world problems in biology (mainly) and geophysics. In 2001, on his 60th birthday, Prof. Antonelli was awarded an Honorary Degree in Geometry at the oldest University in Romania, the "Alexander Ioan Cuza" University. He is presently Professor Emeritus at The University of Alberta, Edmonton Alberta, Canada.Since 2006 he has been in Brazil working with S.F. Rutz, first for the Federal Government on year long grant from CNPq and then for the State of Rio de Janeiro on a grant from FAPERJ. After being stationed 4 years at IME at UERJ in Rio, he is presently,living in Recife, PE with his wife S.F.Rutz who is a Prof in Mathematics at UFPE. He continues his research on models in ecology and evolution with particular emphasis on Brazilian Biota, especially rain forest and coral reef. He is currently ending a 3- year research grant from FACEPE and is Officially Visiting Professor in Math at UFPE having given 2 Summer courses and 2 lecture series on Finsler geometry and Markov diffusions on Finsler spaces and applications in ecology, evolution and developmental biology.

Informações coletadas do Lattes em 10/11/2022

Acadêmico

Formação acadêmica

Doutorado em Mathematics

1965 - 1967

Syracuse University
Título: Montgomery-Samelson Fiberings Between Manifolds
Orientador: Erik Hemmingsen
Bolsista do(a): NASA scholarship, NASA, Estados Unidos.

Mestrado em Mathematics

1963 - 1965

Syracuse University
Título: Not available, Ano de Obtenção: 1965
Orientador: Not available
Bolsista do(a): NASA scholarship, NASA, Estados Unidos.

Graduação em Mathematics

1960 - 1963

Syracuse University
Bolsista do(a): BANOS scholarship, BANOS, Estados Unidos.

Pós-doutorado

1968 - 1970

Pós-Doutorado. , Institute for Advanced Studies, Princeton, NJ, INSTADVSTD-PRINC, Estados Unidos. , Bolsista do(a): Institute for Adv. Studies schorlarship, NSF, Estados Unidos.

Idiomas

Inglês

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

Português

Compreende Pouco, Lê Pouco.

Francês

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

Áreas de atuação

Grande área: Ciências Exatas e da Terra / Área: Matemática / Subárea: Geometria e Topologia/Especialidade: Geometria Diferencial.

Grande área: Ciências Exatas e da Terra / Área: Matemática / Subárea: Geometria e Topologia/Especialidade: Sistemas Dinâmicos.

Grande área: Ciências Exatas e da Terra / Área: Matemática / Subárea: Matemática Aplicada/Especialidade: Biologia Matemática.

Orientou

Carlos Eduardo Hirakawa

Geometric Models in Evolutionary Biology; Início: 2008; Dissertação (Mestrado em Mathematics) - Un; do Estado do Rio de Janeiro - UERJ, Coordenação de Aperfeiçoamento de Pessoal de Nível Superior; (Coorientador);

Aron Dennis Murphy

Computer Algebra and an mth root Finsler metric; 2004; Dissertação (Mestrado em Mathematics) - University of Alberta, NSERC of Canada; Orientador: Peter Louis Antonelli;

Modayil; Not available; 1998; 0 f; Dissertação (Mestrado em Mathematics) - University of Alberta,; Orientador: Peter Louis Antonelli;

Ving; Not available; 1994; 0 f; Dissertação (Mestrado em Mathematics) - University of Alberta,; Orientador: Peter Louis Antonelli;

Ruhnau; Not available; 1978; 0 f; Dissertação (Mestrado em Mathematics) - University of Alberta,; Orientador: Peter Louis Antonelli;

Lin; Not available; 1993; 0 f; Tese (Doutorado em Mathematics) - University of Alberta,; Orientador: Peter Louis Antonelli;

Chapin; Not available; 1980; 0 f; Tese (Doutorado em Mathematics) - University of Alberta,; Orientador: Peter Louis Antonelli;

Produções bibliográficas

ANTONELLI, P.L. ; S. F. Rutz ; FERREIRA JR, G. S. . Remarks on modelling serial endosymbiosis and evolution of eukaryote tissue formation.. Nonlinear Studies - The international journal , v. 26, p. 253, 2019.
Rutz, S.F. ; CARIELO, M.S. ; ANTONELLI, P.L. . Mathematical model of forests: Understories and mycorrhizal networks. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS , v. 47, p. 168-177, 2019.
ANTONELLI, P.L. ; S. F. Rutz ; CANTALICE, J. R. B. ; SILVA FILHO, J. A. ; NUNES, E. O. S. . Exchange of plant growth energy and hydrodynamical energy in a Riverine ecosystem.. Nonlinear Studies - The international journal , v. 24, p. 807-826, 2018.
ANTONELLI, P.L. ; S. F. Rutz ; FERREIRA JR, G. S. . A mathematical model of tissue formation: Symbioticism via differential adhesion and cell surface organelles.. Nonlinear Studies - The international journal , v. 25, p. 15-33, 2018.
ANTONELLI, P.L. ; S. F. Rutz ; JUNIOR, R.V.S. . Analysis of impact of transgenic crops in a noisy environment.. Nonlinear Studies - The international journal , v. 24, p. 337-353, 2017.
ANTONELLI, P.L. ; LEANDRO, C.G. ; Rutz, S.F. . PHENOTYPIC DEFORMATION: THE ROLE OF ALLOMETRY AND THE GOLDEN RATIO. International Journal of Applied Mathematics , v. 29, p. 485-503, 2016.
ANTONELLI, Peter L. ; RUTZ, SOLANGE F. ; SAMMARCO, PAUL W. ; STRYCHAR, KEVIN B. . Evolution of symbiosis in hermatypic corals: A model of the past, present, and future. Nonlinear Analysis: Real World Applications , v. 32, p. 389-402, 2016.
ANTONELLI, P.L. ; LEANDRO, C.G. ; Rutz, S.F. . STOCHASTIC CANALIZATION OF PHENOTYPIC DEFORMATIONS DURING ONTOGENESIS. International Journal of Applied Mathematics , v. 29, p. 655-671, 2016.
ANTONELLI, P.L. ; LEANDRO, C.G. ; RUTZ, SOLANGE F. . STOCHASTIC CANALIZATION OF PHENOTYPIC DEFORMATIONS DURING ONTOGENESIS. International Journal of Applied Mathematics , v. 29, p. 655-671, 2016.
ANTONELLI, Peter L. ; RUTZ, S. F. ; CANTALICE, J. R. B. . Carbon cycles in tree stands from KCC theory: discounted production due to litter decomposition. Nonlinear Studies - The international journal , v. 23, p. 111-115, 2016.
ANTONELLI, P.L. ; RUTZ, SOLANGE F. . Analytical Non-linear Modular Dynamics for balanced exploitation of fisheries. Universal Journal of Non-Linear Mechanics , v. 3, p. 39-54, 2015.
ANTONELLI, Peter L. ; LEANDRO, C.G. ; S. F. Rutz . Phenotypic Plasticity for Allometric Laws of Ontogeny from Cellular Interactions. Universal Journal of Applied Mathematics & Computation , v. 3, p. 37-53, 2015.
ANTONELLI, Peter L. ; Eduardo S.G. Leandro ; Solange F. Rutz . Gradient driven dynamicson Finsler manifolds:the Jacobi action-metric theoremand an application to ecology. Nonlinear Studies - The international journal , v. 21, p. 515-152, 2014.
ANTONELLI, P.L. ; Rutz, S.F. ; JUNIOR, R.V.S. . ENVIRONMENTAL ANALYSIS OF IMPACT OF TRANSGENIC CROPS. International Journal of Applied Mathematics , v. 26, p. 515-524, 2013.
ANTONELLI, Peter L. ; RUTZ, SOLANGE F. ; SAMMARCO, PAUL W. ; STRYCHAR, KEVIN B. . A coral bleaching model. Nonlinear Analysis: Real World Applications , v. 16, p. 65-73, 2013.
ANTONELLI, Peter L. ; RUTZ, S. F. ; Fonseca, K.T. . The Mathematical Theory of Endosymbiosis II: Models of. Nonlinear Analysis: Real World Applications , v. 1, p. 1, 2012.
ANTONELLI, Peter L. ; RUTZ, S. F. ; Hirakawa, C. E. . On Matsumoto's Statement of a Theorem of Berwald on projectively flat spaces. Revue Roumaine de Mathématiques Pures et Appliquées , v. 57, p. 17, 2012.
ANTONELLI, Peter L. ; RUTZ, S. F. ; Hirakawa, C. E. . Mathematical Theory of Endosymbiosis. Nonlinear Analysis: Real World Applications , v. 1, p. 1-17, 2011.
ANTONELLI, Peter L. ; RUTZ, S. F. ; K.T. Fonseca . Carbon flux models in the Mata-Atlantica rain forest of Brazil. Nonlinear Analysis: Real World Applications , v. 11, p. 3524-3531, 2010.
ANTONELLI, Peter L. ; RUTZ, Solange da Fonseca . Noise in Constant Connection Finsler Spaces (Dedicated to Prof. Lakshmikantham on his 85th birthday.). Nonlinear Analysis. Theory, Methods and Applications , v. 01, p. 01, 2008.
ANTONELLI, Peter L. ; RUTZ, Solange da Fonseca . KCC-Theory of Geodesics in Berwald spaces of dimension 2 (Dedicated to Prof. A. V. Balakrishnan.). Nonlinear Analysis , v. 01, p. 01, 2008.
ANTONELLI, Peter L. ; RUTZ, Solange da Fonseca . Perturbations of Constant Connection Wagner Spaces. Journal of the Mathematical Society of Japan , v. 1, p. 1-21, 2007.
ANTONELLI, Peter L. ; RUTZ, Solange da Fonseca . Eco-strain in Model Forests. Nonlinear Analysis. Real World Applications , v. 1, p. 1, 2007.
ANTONELLI, Peter L. ; RUTZ, Solange da Fonseca . Finslerian Volterra?Hamilton systems in Clementsian forest succession. Nonlinear Analysis. Real World Applications , v. 6, p. 899-913, 2005.
ANTONELLI, Peter L. . The differential geometry of starfish cycles: A 20-year retrospective and open problems. Nonlinear Analysis. Theory, Methods and Applications , v. 63, p. 948-957, 2005.
ANTONELLI, Peter L. ; RUTZ, Solange da Fonseca . Theories and models in symbiogenesis: A reply to nature and the introduction of environmental noises. Nonlinear Analysis. Theory, Methods and Applications , v. 63, p. e131-e142, 2005.
ANTONELLI, Peter L. ; RUTZ, Solange da Fonseca . Geometric Approach to Dynamics of Succession in Plant Communities. Proceedings of BIOMAT2003, 2004.
ANTONELLI, Peter L. ; BUCATARU, I. ; RUTZ, Solange da Fonseca . 2 and 3 Dimensional Finser Spaces and Applications In: Meeting in Honour of Prof. Lajos Tamassy, 2002, Debrecen. Publ. Math. Debrecen. Debrecen: Publ. Math. Debrecen, 2003. v.62. p.289 - 313. Publ Math Debrechen, Debrecen., v. 62, p. 289-313, 2003.
ANTONELLI, Peter L. ; RUTZ, Solange da Fonseca ; SLAWINSKI, M. . A geometrical foundation for Seismic ray theory based on modern Finsler geometry in Finsler and Lagrange Geometries ed M. Anastasiei and P. Antonelli. Proceedings of a Conference held on Aug.26-31,2001, Romania, Kluwer Academic Publishers, p. 17-54, 2003.
ANTONELLI, Peter L. ; BUCATARAU, I. ; RUTZ, S. F. . Computer algebra and two and three dimensional Finsler geometry. Publicationes Mathematicae (Debrecen) , v. 62, p. 289-313, 2003.
RUTZ, S. F. ; ANTONELLI, Peter L. ; L. Bevilacqua . Theories and Models in Symbiogenesis. Nonlinear Analysis B (Appl. to Real World), v. 4, p. 743-753, 2003.
ANTONELLI, Peter L. ; RUTZ, Solange da Fonseca ; SABAU, S . A Study of Cell Division Cycle by Means of KCC-Theory. Open Systems and Information Dynamics. , v.9, n.3, 2002., 2002.
ANTONELLI, Peter L. ; RUTZ, Solange da Fonseca ; BEVILACQUA, L . Theories and Models in Symbiogenesis. Nonlinear Analysis B (Appl. to Real World). , 2002., 2002.
ANTONELLI, Peter L. ; BONA, A. ; SLAWINSKI, M. . Seismic rays as Finsler geodesics. Nonlinear Analysis. Real World Applications , v. 4, p. 711-722, 2002.
ANTONELLI, Peter L. ; RUTZ, S. F. ; Rutz, S.F. ; Sab?u, V.S. . A Study of Cell Divion Cycle by KCC Theory. Open Systems & Information Dynamics , v. 9, n.3, p. 223-238, 2002.
ANTONELLI, Peter L. ; BUCATARU, I. . Finsler connections in anholonomic geometry of a Kropina space. Nonlinear Studies (Accepted for publication) (2000): 20 ms.. Nonlinear Studies (Abingdon) , v. 8, p. 171-184, 2001.
ANTONELLI, Peter L. ; BUCATARU, I. . Volterra-Hamilton production models with discounting: General theory and worked examples. Nonlinear Analysis (Accepted for publication) (2000): 27 ms.. Nonlinear Analysis. Real World Applications , v. 2, p. 337-356, 2001.
ANTONELLI, Peter L. ; BUCATARU, I. . New results about the geometrical invariants in KCC-Theory.. AN STIINT U AL I-MAT , v. 47, p. 405-420, 2001.
ANTONELLI, Peter L. ; RUTZ, Solange da Fonseca ; SABAU, S ; PORTUGAL, R ; MACULAN, N . Transient-States Analysis of a 2-species Dynamical Ecological Model via KCC-Theory. Non-linear Studies. , v.8, n.3, p.283 - 295, 2001., 2001.
ANTONELLI, Peter L. ; BUCATARU, I. . On Holland's Frame for C-Reducible Finsler Space. Nonlinear Analysis. Theory, Methods and Applications , v. 47, p. 6147-6155, 2001.
ANTONELLI, Peter L. ; BUCATARU, I. . On Holland?s Frame for Randers space and applications in physics. (Submitted to Phys. Lett. A) (2000): 21 ms., 2000.
ANTONELLI, Peter L. ; SAMMARCO, P.w. . Evolution of multiple complementary (secondary) metabolites, their synergism and their stability in colonial organisms. Open Systs. and Infor. Dynam. 6 (1999): 29-46., 1999.
ANTONELLI, Peter L. ; SAMMARCO, P.w. . Evolution via random walk on adaptive landscapes. Open Systs. and Infor. Dynam. 6 (1999): 47-68., 1999.
ANTONELLI, Peter L. . The constant sprays of classical ecology and noisy Finsler perturbations. Finslerian Geometries: A Meeting of Minds (P.L. Antonelli, ed.) Kluwer Academic Press (1999): 67-77., 1999.
ANTONELLI, Peter L. ; HAN, B. ; MODAYIL, J. . New results on 2- dimensional constant sprays with an application to heterochrony. Nonlinear Analysis 37 (1999): 545-566., 1999.
ANTONELLI, Peter L. . A Finsler geometeric model of evolution by symbiosis. Mathematical Models and Methods in Applied Sciences 8 (1998): 495-505., 1998.
ANTONELLI, Peter L. . On the differential geometry of Edwards'plant bud surface. Open Systems and Information Dynamics 4 (1997): 119-123., 1997.
ANTONELLI, Peter L. ; ZASTAWNIAK, T.j. . Stochastic Finsler geometry in the theory of evolution by symbiosis. Dynamics of Continuous, Discrete and Impulsive Systems 3 (1997): 1-18., 1997.
ANTONELLI, Peter L. . A Finsler geometric model of evolution by symbiosis. Proceedings of the WCNA-96, Athens 4 (1997): 101-117., 1997.
ANTONELLI, Peter L. . Information dynamics of the diffusion processes of mathematical genetics.. Open Systems & Information Dynamics , v. 4, p. 101-117, 1997.
ANTONELLI, Peter L. ; HRIMIUC, D. . On the geometry of a homogeneous contact transformation. Revue Roumaine de Mathematiques Pures et Applicques 42 (1997): 9-10, 697- 705., 1997.
ANTONELLI, Peter L. ; HRIMIUC, D. . n-Lagrange laplacians. Analele Stiintifice Univsitatii ?AL.I. Cuza?, IASI, XLIII (1997): 215-221., 1997.
ANTONELLI, Peter L. ; MATSUMOTO, M. . Two-dimensional Finsler spaces of locally constant connection. Tensor, N.S. 57 (1996): 8-19., 1996.
ANTONELLI, Peter L. ; ZASTAWNIAK, T. . Diffusion on the tangent and indicatrix bundles of a Finsler manifold. Tensor, N.S. 56 (1996): 249-263., 1996.
ANTONELLI, Peter L. ; HRIMIUC, D. . A new class of Spray- generating Lagrangians. Lagrange & Finsler Geometry (P. Antonelli and R. Miron, eds.) Kluwer Academic Press (1996): 81-92., 1996.
ANTONELLI, Peter L. ; HRIMIUC, D. . On the theory of n-Lagrange manifolds with applications in biology and physics. Nonlinear World 3 (1996): 299-333., 1996.
ANTONELLI, Peter L. ; MATSUMOTO, M. ; ZASTAWNIAK, T.j. . On y- Berwald spaces of dimension two and associated heterochronic systems with Finslerian noise. Proceedings of the Chern Conference on Finsler Geometry, sponsored by AMS-IMS-SIAM, published in Contemporary Mathematics Series of AMS 196 (1996): 203-211., 1996.
ANTONELLI, Peter L. ; AUGER, P. . Corals and starfish devastation of the Great Barrier Reef: Aggregation methods. Acta Biotheoretica 43 (1995): 481-493., 1995.
ANTONELLI, Peter L. ; AUGER, P. ; BRADBURY . Corals and starfish waves on the Great Barrier Reef: Analytical trophodynamics and 2-patch aggregation methods. Nonlinear Times and Digest 2 (1995): 261-289., 1995.
ANTONELLI, Peter L. ; MATSUMOTO, M. . y-Berwald spaces of dimension two and associated heterochronic systems. Publicationes Mathematicae Debrecen 47 (1995): 193-201., 1995.
ANTONELLI, Peter L. ; ZASTAWNIAK, T. . Density-dependent host/parasite systems of Rothschild type and Finslerian diffusion. Mathematical and Computer Modelling 20 (1994): 117-130., 1994.
ANTONELLI, Peter L. ; ZASTAWNIAK, T. . Introduction to diffusion on Finsler manifolds. Mathematical and Computational Models 20 (1994): 109-116., 1994.
ANTONELLI, Peter L. ; ZASTAWNIAK, T. . Stochastic calculus on Finsler manifolds and an application in biology. Nonlinear World 1 (1994): 149-171., 1994.
ANTONELLI, Peter L. ; MATSUMOTO, M. . Volterra-Hamilton systems in ecology: The two-dimensional classification theory. Nonlinear Times and Digest 1 (1994): 271-281., 1994.
ANTONELLI, Peter L. ; BRADBURY, R. ; REICHELT, R. . Multiple time-scale diffusion models of starfish and coral state changes over the whole Great Barrier Reef.. Open Systems & Information Dynamics , v. 2, p. 95-106, 1993.
ANTONELLI, Peter L. ; KRIVAN, V. . Large amplitude periodic fluctuations in starfish-coral dynamics caused by feeding preferences, Ecol. Mod., 67 (1993): 251-257., 1993.
ANTONELLI, Peter L. ; ZASTAWNIAK, T. . Diffusions on Finsler manifolds. Proceedings of the XXVth Symposium on Mathematical Physics in Reports on Math. Physics 33 (1993): 303-315., 1993.
ANTONELLI, Peter L. ; BRADBURY, R. ; KRIVAN, V. ; SHIMADA, H. . A dynamical theory of heterochrony: Time-sequencing changes in ecology, development and evolution. Journal of Biological Systems 1 (1993): 451-487., 1993.
ANTONELLI, Peter L. . On Hutchinson's competition equations and their homogenization: A higher-order principle of competitive exclusion. Ecol. Mod. 60 (1992): 309-320, 1992.
ANTONELLI, Peter L. . A mathematical theory of evolution by heterochrony in colonial invertebrates, Open Systems and Infor. Dyn., 1 (1992): 57-74., 1992.
ANTONELLI, Peter L. ; SAMMARCO, P. . Allelochemic interactions on Pandora Reef, The Great Barrier Reef: stabilizing weak chaos in production, Open Space and Infor. Dyn., 1(2) (1992): 207-215., 1992.
ANTONELLI, Peter L. ; KRIVAN, V. . Fuzzy differential inclusions as substitutes for stochastic differential equations in population biology, Open Systems and Infor. Dyn., 1(2) (1992): 217-232., 1992.
ANTONELLI, Peter L. . Finslerian Volterra-Hamilton systems in ecology, Tensor, 50 (1991): 22-31., 1991.
ANTONELLI, Peter L. ; BRADBURY, R. ; LIN, X. . A higher-order predator- prey interaction with application to observed starfish waves and cycles. Ecol. Mod. 58 (1991): 323-332., 1991.
ANTONELLI, Peter L. ; SHIMADA, H. . On 1-form connections with constant coefficients, Tensor N.S., 50 (1991): 263-275., 1991.
ANTONELLI, Peter L. . Finslerian Volterra-Hamilton Systems in Ecology, Tensor, N.S., 21 pp. (Accepted June 18, 1990.), 1990.
ANTONELLI, Peter L. ; KAZARINOFF, N. ; REICHELT, R. ; BRADBURY, R. ; MORAN, P. . A diffusion-reaction-transport model for large-scale waves in crown-of-thorns starfish outbreaks on the Great Barrier Reef. 16 pp., to appear, Proc. Conf. on the Acanthaster Phenomenon, Springer-Verlag Lecture Notes in Math. Biol. 8 19) 18., 1990.
ANTONELLI, Peter L. . Applied Volterra-Hamilton Systems of Finsler type: increased species diversity as a non-chemical defense for coral against the crown-of-thorns, in (ed. Bradbury, R.). Acanthaster and the Coral Reef: a theoretical perspective. Springer-Verlag lecture notes in Biomath 88, (1990): 220-235., 1990.
ANTONELLI, Peter L. ; BRADBURY, R. . What Controls Outbreaks. Acanthaster and the Coral Reef: a theoretical perspective.. Lecture Notes on Biomathematics , v. 88, p. 278-290, 1990.
ANTONELLI, Peter L. . A brief introduction to Volterra-Hamilton theory in ecological modelling. Math. and Compt. Mod., 13, (1990): 19-23., 1990.
ANTONELLI, Peter L. . Filtering the n-dimensional logistic growth model. Stoch. Anal. and Appl., 8, (1990): 263-292., 1990.
ANTONELLI, Peter L. . Medawar's growth energy experiment revisited: along a brownian path. Math. and Compt. Mod., 13, (1990): 11-18., 1990.
ANTONELLI, Peter L. . An easy statistical test for Volterra-Hamilton systems with data. Math. and Compt. Mod., 13, (1990): 25- 29., 1990.
ANTONELLI, Peter L. ; BRADBURY, R. ; HAMMOND, L. ; ORMOND, R. ; REICHELT, R. . Report on acanthaster phenomena, in Acanthaster Phenomena: A Modelling Approach, ed. R. Bradbury, Springer-Verlag Lecture Series in Math. Biology, 88, (1990) 329-338., 1990.
ANTONELLI, Peter L. ; BRADBURY, R. . What controls outbreaks? in Acanthaster and the Coral Reef: A theoretical perspective. Lect. Notes Biomath 88 (ed. R. Bradbury): Modelling Approach, 13 pp., accepted April 20, 1990., 1990.
ANTONELLI, Peter L. ; LIN, X. . Bifurcation analysis on a coral-starfish model. Math. and Compt. Mod., 13, (1990): 35-44., 1990.
ANTONELLI, Peter L. ; SEYMOUR, R. . Entropy production in stochastic Riemannian geometries: Jacobi metric observables in chemical ecology. 25 pp., to appear, Math. and Compt. Mod. 12, (1989): 253-266., 1989.
ANTONELLI, Peter L. ; SKOWRONSKI, J.m. . Identification of states and parameters in a model of starfish predation on coral. J. Math. Mod. 10 (1988): 17-25., 1988.
ANTONELLI, Peter L. ; SKOWRONSKI, J.m. . Adaptive identification of environmental stress for the management of plant growth. J. Math. Mod. 10 (1988): 27-35., 1988.
ANTONELLI, Peter L. ; SEYMOUR, R.m. . A model of Myxomatosis based on hormonal control of rabbit-flea reproduction. (IMA) J. of Math. Appl. in Med. and Biol. 5 (1988): 65-80., 1988.
ANTONELLI, Peter L. ; KAZARINOFF, N. . Modelling density-dependent aggregation and reproduction in certain terrestrial and marine ecosystems: a comparative study. Ecol. Mod. 41 (1988): 219-227., 1988.
ANTONELLI, Peter L. ; SAMMARCO, P.w. ; COLL, J.c. . A model of allelochemical interactions between soft and hard corals on the Great Barrier Reef. 26 pp., to appear, J. Infern. and Deduct. Biol. (accepted April 11, 1988)., 1988.
ANTONELLI, Peter L. . A curved space forward Cauchy problem for chemical ecology on the Great Barrier Reef. Stoch. Anal. Appl. 6 (1988): 231-246., 1988.
ANTONELLI, Peter L. ; BRADBURY, R. ; BUCK, R. ; ELLIOTT, R. ; REICHELT, R. . Nonlinear prediction of crown-of-thorns outbreaks on the Great Barrier Reef.. Stochastic Analysis and Applications , v. 6, p. 349-363, 1988.
ANTONELLI, Peter L. ; ELLIOTT, R.j. ; SEYMOUR, R.m. . Nonlinear filtering and Riemannian scalar curvature, R. Adv. in Appl. Math. 8 (1987): 237-253., 1987.
ANTONELLI, Peter L. ; SEYMOUR, R.m. . Entropy production in stochastic Riemannian geometries with applications to chemical ecology. Adv. in Appl. Math. 8 (1987): 254-280., 1987.
ANTONELLI, Peter L. ; FULLER, K.d. ; KAZARINOFF, N. . A study of large amplitude periodic solutions in a model for starfish predation solutions in a model for starfish predation of coral. (IMA) J. of Math. Appl. in Med. and Biology 4 (1987): 207-214., 1987.
ANTONELLI, Peter L. ; SAMMARCO, P.w. ; COLL, J.c. . A model of allelochemical interactions between soft and scleractinian corals on the Great Barrier Reef. 20 pp., to appear, Proc. Aust. Marine Biology Conf. 1987., 1987.
ANTONELLI, Peter L. . Volterra-Hamilton systems of Finsler type with applications to coral reef ecology.. Acta Científica Venezolana , v. 38, p. 533-539, 1987.
ANTONELLI, Peter L. ; SEYMOUR, R. . Nonlinear Filtering of Myxomatosis based on Hormonal Control of Flea Reproduction by Rabbit.. Stochastic Analysis and Applications , v. 5, p. 245-266, 1987.
ANTONELLI, Peter L. ; SKOWRONSKI, J. . Differential offensive-defensive games between plants and herbivores. J. Math. Appl. in Med. & Biol. 8 (1986): 319-340., 1986.
ANTONELLI, Peter L. ; ELLIOTT, R.j. . Nonlinear filtering theory for coral/starfish and plant/herbivore interactions. J. Stochastic Anal. & Appl. 4 (1986): 1-23., 1986.
ANTONELLI, Peter L. ; KAZARINOFF, N. . Letter-to-editor: Cmet nsafsh/coral cycles after R. Bradbury, et. al. .Ter il 19 (1986): 501-502., 1986.
ANTONELLI, Peter L. ; ELLIOTT, R.j. . The Zakai forms of the prediction and smoothing equations. I.E.E.E. Transactions on Information Theory 32 (1986): 816-817., 1986.
ANTONELLI, Peter L. . Toxin production in phytoplankton communities. Acta Cientifica Venzolana 36 (1985): 303-313., 1985.
ANTONELLI, Peter L. ; BRADBURY, R. . On the existence or not of coral reefs. Proc. of Int. Coral Reef Symposium, 1985, Tahiti, 5 pp., 1985.
ANTONELLI, Peter L. . Non-Euclidean allometry and the growth of forests and corals. Math. Essays on Growth and the Emergence of Form, University of Alberta Press, 1984, 45-47., 1984.
ANTONELLI, Peter L. ; KAZARINOFF, N. . Starfish predation of a growing coral reef community. J. Theor. Biol. 107 (1984): 667-684., 1984.
ANTONELLI, Peter L. . Autotoxin production in some symbiotical plant communities is unstable. Math Essays on Growth and the Emergence of Form, University of Alberta Press, 1984, 109-114., 1984.
ANTONELLI, Peter L. . A mathematical model of chemical defense of apparent plants against insects. Math Essays in Growth and the Emergence of Form, University of Alberta Press, 1984, 91-99., 1984.
ANTONELLI, Peter L. . A mathematical model of multiple tannin defense of apparent plants against insects. Math Essays in Growth and the Emergence of Form, University of Alberta Press, 1984, 101-108., 1984.
ANTONELLI, Peter L. . On the mathematical theory of Volterra-Hamilton systems. Mathematical Essays on Growth and the Emergence of Form, University of Alberta Press, 1984, 125-164., 1984.
ANTONELLI, Peter L. . Book - Math Essays on Growth and Emergence of Form, published by University of Alberta Press (1984): edited by P.L. Antonelli (contributor > 1/3 total): approx. 332 pages., 1984.
ANTONELLI, Peter L. ; WILLIAMS, J. . Homotopy construction of a spinor wave-functional. Int. J. Theor. Physics 22 (1983): 981-996., 1983.
ANTONELLI, Peter L. ; VOORHEES, B. . Nonlinear growth mechanics I and Volterra-Hamilton systems. Bull. Math. Biol. 45 (1983): 103-116., 1983.
ANTONELLI, Peter L. . Nonlinear allometric growth I. Perfectly cooperative systems. J. Math. Mod. 4 (1983): 367-372., 1983.
ANTONELLI, Peter L. . Nonlinear allometric growth II. Allelopathic plant communities. J. Math. Mod. 4 (1983): 373-380., 1983.
ANTONELLI, Peter L. ; VOORHEES, B. . Continuous geometric modelling of biological systems. Proc. of Washington D.C. Conf. on Systems and Cybernetics, 1983, 20 pp., 1983.
ANTONELLI, Peter L. . The emergence of form in the theory of manifolds. Proc. of Washington D.C. Conference on Systems and Cybernetics, 4 pp., 1983., 1983.
ANTONELLI, Peter L. . Competition and productivity in aquatic plant communities; experiments and theories. Revue de Bio-Mathematique 84 (1983): 1-26., 1983.
ANTONELLI, Peter L. . A mathematical model of chemical defense of apparent plants against insects: A summary. Proc. of Victoria Conf. on Renewable Resources (1983): 77-81., 1983.
ANTONELLI, Peter L. ; KAZARINOFF, N. . Starfish predation of a coral reef community. Proc. Conf. on Renewable Resources, Victoria (1983): 82-85., 1983.
ANTONELLI, Peter L. . Geometry of random drift VI. Adv. Appl. Prob. 12 (1980): 50-58., 1980.
ANTONELLI, Peter L. . Optimal growth of an ideal coral reef. Acta Cientifica Venezolana 31 (1980): 521-525., 1980.
ANTONELLI, Peter L. . Huxley's allometric space for an ideal coral reef. Proc. Int. Conf. on Applied Syst. Research and Cybernetics, 1980, Vol. IV, 1973-1978., 1980.
ANTONELLI, Peter L. . The geometry of random drift V. J. Appl. Prob. 11 (1979): 502-509., 1979.
ANTONELLI, Peter L. ; WILLIAMS, J. . Kinks and Cobordism. Int. J. Theoret. Physics 18 (1979): 779-789., 1979.
ANTONELLI, Peter L. ; MORGAN, K. . On the persistence of random genetic drift. J. Appl. Prob. 15 (1978): 180-184., 1978.
ANTONELLI, Peter L. . An asymptotic formula for the transition density of random genetic drift. J. Appl. Prob. 15 (1978): 185-187., 1978.
ANTONELLI, Peter L. . The geometry of random drift IV. Random time substitutions and stationary densities. Adv. in Appl. Prob. 10 (1978): 563-569., 1978.
ANTONELLI, Peter L. ; STROBECK, C. . The geometry of random drift I. Stochastic Distance and Diffusion. Adv. in Appl. Probability 9 (1977): 238-249., 1977.
ANTONELLI, Peter L. ; CHAPIN, J. ; MORGAN, K. . The geometry of random drift II. The symmetry of random genetic drift. Adv. in Appl. Probability 9 (1977): 250-259., 1977.
ANTONELLI, Peter L. ; LATHROP, M. ; MORGAN, K. . The geometry of random drift III. Recombination and Diffusion. Adv. in Appl. Probability 9 (1977): 260-267., 1977.
ANTONELLI, Peter L. ; VOORHEES, B. . Geometric stochastic extension theory I and II. To appear in Proc. Sherbrooke Conference on Math. Biol. (1976) (76 pages): Springer-Verlag., 1976.
ANTONELLI, Peter L. ; GOODWIN, B.c. . The organism as a cognitive and cooperative system. In An Analytical Physiology of Cells and Developing Organisma. Academic Press, 1976., 1976.
ANTONELLI, Peter L. ; MCLAREN, .i. ; ROGERS, T.d. ; LATHROP, M. ; WILLARD, M. . Transitivity, pattern-reversal, engulfment and duality in exchange type cell aggregation kinetics. J. Theoret. Biol. 49 (1975): 385-400. (Also appears in Yale Monograph), 1975.
ANTONELLI, Peter L. ; VARADARAJAN, K. . A characterization of projective spaces in terms of h-enclosability. Illinois J. Math. 19 (1975): 433-439., 1975.
ANTONELLI, Peter L. ; VARADARAJAN, K. . On MS-fiberings of manifolds with finite singular sets. Michigan Math. J. 22 (1975): 33-38., 1975.
ANTONELLI, Peter L. . Transplanting a pure mathematician into theoretical biology. Proc. Conference on Mathematics, Statistics and the Environment, Ottawa. 12 pages, 1974., 1974.
ANTONELLI, Peter L. . Reply to comments by N. Goel on aggregation kinetics of Antonelli-Rogers-Willard. J. Theoret. Biol. 48 (1974): 493-495., 1974.
ANTONELLI, Peter L. ; ROGERS, T. ; WILLARD, M. . Geometry and the exchange principle in cell aggregation kinetics. J. Theoret. Biol. 41 (1973): 1-21. (This paper also appears in Yale Monograph, Mathematical Models for Cell Rearrangement. Ed. G.D. Mostow (270 pp.): New Haven, 1975)., 1973.
ANTONELLI, Peter L. . On the h-enclosability of spheres. Camb. Philos. Soc. 72 (1972): 185-188., 1972.
ANTONELLI, Peter L. ; KAHN, P.j. ; BURGHELEA, D. . The non-finite homotopy types of some diffeomorphism groups I. Topology 11 (1972): 1-50., 1972.
ANTONELLI, Peter L. . Concordance-homotopy groups and the non-finite type of some DiffoMn. Bull. Amer. Math. Soc. 77 (1971): 719-724, 1971.
ANTONELLI, Peter L. . On the stable diffeomorphism of exotic spheres in the metastable range. Canad. J. Math. 23 (1971): 579-587., 1971.
ANTONELLI, Peter L. ; KAHN, P.j. ; BURGHELEA, D. . Gromoll groups, Diff Sn and bilinear constructions of exotic spheres.. Bull Amer Math Soc, v. 76, p. 772-777, 1970.
ANTONELLI, Peter L. ; KAHN, P.j. ; BURGHELEA, D. . The non-finite type of some Diff Mn.. Bull Amer Math Soc, v. 76, p. 1246-1250, 1970.
ANTONELLI, Peter L. . Structure theory for Montgomery-Samelson fiberings between manifolds I.. Canad J Math, v. 21, p. 170-179, 1969.
ANTONELLI, Peter L. . Structure theory for Montgomery-Samelson fiberings between manifolds II. Canad J Math, v. 21, p. 180-186, 1969.
ANTONELLI, Peter L. . Differentiable Montgomery-Samelson fiberings with finite singular sets. Can J Math, v. 21, p. 1489-1495, 1969.
ANTONELLI, Peter L. . Montgomery-Samelson fiberings of spheres.. Proc Amer Math Soc, v. 22, p. 247-250, 1969.
ANTONELLI, Peter L. . On the stable diffeomorphism of spheres in the stable range, n < 2p.. Bull Amer Math Soc, v. 75, p. 343-346, 1969.
ANTONELLI, Peter L. ; RUTZ, Solange da Fonseca . Modelagem Matematica e Computacional em Biologia. Rio de Janeiro: EdUERJ, 2009. v. 1. 200p .
ANTONELLI, Peter L. . Handbook of Finsler Geometry (ed. and author). Kluwer Academic Publishers, 2003. v. 2. > 1400p .
ANTONELLI, Peter L. ; ANASTASIEI, M. (Org.) . Finsler and Lagrange Geometries Proceedings of a Conference held on Aug.26-31,2001, Romania. Kluwer Academic Publishers, 2003.
ANTONELLI, Peter L. . Finslerian Geometries: a meeting of minds.. Dordrecht: Springer-Verlag, 2000. v. 1. 309p .
ANTONELLI, Peter L. ; ZASTAWNIAK, T. . Fundamentals of Finslerian Diffusion with Applications. Kluwer Academic Press, 1999. v. 1.
ANTONELLI, Peter L. ; LACKEY, B.c. . The Theory of Finslerian Laplacians and Applications (eds.). Kluwer Academic Press, 1998. v. 1.
ANTONELLI, Peter L. ; AUGER, P. (Org.) . Aggregation and Emergence in Population Dynamics. , 1998.
ANTONELLI, Peter L. ; BRADBURY, R. . Volterra-Hamilton Models in the Ecology and Evolution of Colonial Organizms.. World Scientific Press Series on Math. Biol. and Medicine, 1996. v. 1.
ANTONELLI, Peter L. ; MIRON, R. . Lagrange and Finsler Geometry. Applications to Physics and Biology. Dordrecht, The Netherlands: Kluwer academic publishers, 1996. v. 1.
ANTONELLI, Peter L. ; ZASTAWNIAK, T. (Org.) . Lagrange Geometry, Finsler Spaces and Noise Applied in Biology and Physiscs. Pergamon, 1994.
ANTONELLI, Peter L. ; MATSUMOTO, M. ; INGARDEN, R. . The theory of Sprays and Finsler spaces with applications in physics and biology.. Kluwer Academic Press, 1993. v. 1.
ANTONELLI, Peter L. . Proceedings of the Internl. Wrkshp on Population Dynamics of Outbreaks. Pergamon, 1990.
ANTONELLI, Peter L. . Math Essays on Growth and Emergence of Form (ed. and major contributor). UofA Press, 1985. v. 1.
ANTONELLI, Peter L. ; BURGHELEA, D. ; KAHN, P.j. . The Concordance-Homotopy Groups of Geometric Automorphism Groups.. Springer-Verlag, 1970. v. 1. 140p .
ANTONELLI, Peter L. . The Constant Sprays of Classical Ecology and Noisy Finsler Perturbations.. In: Antonelli, Peter L.. (Org.). Finslerian Geometries: a meeting of minds. Series Fundamental Theories of Physics. Dordrecht: Springer-Verlag, 2000, v. 109, p. 67-78.
ANTONELLI, Peter L. ; HRIMIUC, D. . On the Geometry of a Homogeneous Contact Transformation.. In: Antonelli, Peter L.. (Org.). Finslerian Geometries: a meeting of minds. Series Fundamental Theories of Physics. Dordrecht: Springer-Verlag, 2000, v. 109, p. 79-88.
ANTONELLI, Peter L. . Sumary and Overview. In: Antonelli, Peter L.. (Org.). Finslerian Geometries: a meeting of minds. Series Fundamental Theories of Physics. Dordrecht: Springer-Verlag, 2000, v. 109, p. 27-32.
ANTONELLI, Peter L. ; MIRON, R. . The Differential Geometry of Lagrangians which generate Sprays.. In: Antonelli, Peter L. and Miron, R. (editors). (Org.). Lagrange and Finsler Geometry, series Fundamental Theories of Physics. Dordrecht: Springer-Verlag, 1996, v. 76, p. 15-34.
ANTONELLI, Peter L. ; RUTZ, Solange da Fonseca . FINSLERIAN SYSTEMS IN FOREST SUCCESSION. In: Encontro de Modelagem Computacional, 2005, Friburgo. Anais do Encontro de Modelagem Computacional, 2004. v. 1.
ANTONELLI, P.L. ; S. F. Rutz . Analytical Modelling in Ecology and Development.. NONLINEAR WORLD , 2020.
ANTONELLI, Peter L. ; RUTZ, Solange da Fonseca . Symbolic Computing in Mathematical Models in Biology. 2001 (Training a Post-Doctoral Fellow) .
ANTONELLI, Peter L. ; LACKEY, B. C. . Stochastic Approach to Finsler Hodge Theory. 1996 (Training a Post-Doctoral Fellow) .
ANTONELLI, Peter L. ; HRIMIUC, D. . Lagrange and Finsler geometry of cotangent bundles, stochastic Lagrange geometry. 1995 (Training a Post-Doctoral Fellow) .
ANTONELLI, Peter L. ; ANASTASIEI, M. . Lagrange geometry and spray theory. 1994 (Training a Post-Doctoral Fellow) .
ANTONELLI, Peter L. ; KRIVAN, V. . Mathematical Biology, individual behavior models. 1992 (Training a Post-Doctoral Fellow) .
ANTONELLI, Peter L. ; ZASTAWNIAK, T. . Stochastic Finsler Geometry, Nelson Mechanics. 1992 (Training a Post-Doctoral Fellow) .
ANTONELLI, Peter L. ; BRADBURY, R. . Marine Ecology Models. 1990 (Training a Post-Doctoral Fellow) .

Projetos de pesquisa

2012 - 2014

A Trofodinâmica Analítica do Branqueamento de Corais devido ao Aquecimento Global, Descrição: Estabelecer os efeitos de branqueamento sobre o crescimento da comunidade de corais a partir do seu modelamento (Trofodinâmica Analítica). Em colaboracão com Dr S. F. Rutz (Dmat/UFPE), Dr P. W. Sammarco, cientista marinho e diretor executivo do LUMCON em Louisianae/EUA, e seu ex-estudante de doutorado, K. B. Strychar. Parte do grupo de pesquisa em Equações Diferenciais, Dmat/UFPE/CNPq.. , Situação: Em andamento; Natureza: Pesquisa. , Alunos envolvidos: Graduação: (1) . , Integrantes: Peter Louis Antonelli - Coordenador / P.W. Sammarco - Integrante / Solange F. Rutz - Integrante / Strychar, K. B. - Integrante., Financiador(es): Fundação de Amparo à Ciência e Tecnologia do Estado de Pernambuco - Bolsa.
2007 - 2009

Evolutionary Model for Margulis' Endosymbiosis Theory (towards a student's Master degree), Situação: Concluído; Natureza: Pesquisa. , Alunos envolvidos: Mestrado acadêmico: (1) . , Integrantes: Peter Louis Antonelli - Integrante / Carlos Eduardo Hirakawa - Integrante / Solange F. Rutz - Coordenador., Financiador(es): Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - Bolsa.
2004 - 2009

other on going projects in Mathematical Biology, Situação: Concluído; Natureza: Pesquisa. , Integrantes: Peter Louis Antonelli - Coordenador., Financiador(es): Universidade do Estado do Rio de Janeiro - Remuneração / Fundação Carlos Chagas Filho de Amparo à Pesquisa do Estado do RJ - Bolsa., Número de produções C, T & A: 5
2004 - 2009

Geometric Approach to the Dynamics of Succession in Plant Communities, Situação: Concluído; Natureza: Pesquisa. , Integrantes: Peter Louis Antonelli - Coordenador / Solange F. Rutz - Integrante., Financiador(es): Fundação Carlos Chagas Filho de Amparo à Pesquisa do Estado do RJ - Bolsa / Universidade do Estado do Rio de Janeiro - Remuneração., Número de produções C, T & A: 5
1980 - Atual

Symbolic Computing - Finsler package, based on Maple, and applications, Descrição: A symbolic computational program is under development for the past 2 years, and has been successfully tested in both pure and applied Finsler geometry in the past year. New results, of significant relevance, have also been obtained (paper in press), In its present format, this software produces simplified expressions for the major geometrical invariants of a given system of 2nd order ordinary differential equations, in a specific coordinate system and finite dimension. It uses MAPLE as programming language and offers the facilities provided from other softwares in MAPLE?s library, such as a graphical interface (as presented by Antonelli?s lecture at Memorial University last June). It will be released for general use in the above mentioned Handbook on Finsler geometry, as well as in future versions of MAPLE library. All present and future projects in Finsler geometry and applications involves the use and development of this software, as in the following item.. , Situação: Em andamento; Natureza: Pesquisa. , Alunos envolvidos: Graduação: (0) / Especialização: (0) / Mestrado acadêmico: (0) / Mestrado profissional: (0) / Doutorado: (0) . , Integrantes: Peter Louis Antonelli - Coordenador / Solange da Fonseca Rutz - Integrante., Financiador(es): Universidade Federal do Rio de Janeiro - Cooperação.
1980 - Atual

Seismology - Ray theory, Descrição: This project is proceeding in close collaboration with M. Slawinski, at Memorial University. Both these researchers are greatly excited and encouraged by profound findings already obtained, using FINSLER software and theoretical results in the Finsler geometry of ray-paths, as reported in Antonelli's 2001lecture. This project provides the link between Antonelli?s method and qapproach to mathematical modelling and Memorial University research interests, greatly given by oil exploration.. , Situação: Em andamento; Natureza: Pesquisa. , Alunos envolvidos: Graduação: (0) / Especialização: (0) / Mestrado acadêmico: (0) / Mestrado profissional: (0) / Doutorado: (0) . , Integrantes: Peter Louis Antonelli - Coordenador / M. Slawinski - Integrante., Financiador(es): Memorial University - Cooperação.
1980 - Atual

Cancer models, Descrição: S. Sabau, Finsler geometer working on Hitachi?s genome project, contacted Antonelli about a year ago for collaboration on cancer modelling using the important biochemical model of S. Tyson. The use of the FINLER package mentioned above allows us to study long term global stability of developmental trajectories. The idea is to learn enough about early stages to avoid stable limit cycles and their basin of attraction. Antonelli?s 2001 lecture at Memorial University exhibited a test of the FINSLER package on an ecological model simpler than Tyson?s model, with surprising results described in our first paper in press. Further development on Tyson?s model is going forward. , Situação: Em andamento; Natureza: Pesquisa. , Alunos envolvidos: Graduação: (0) / Especialização: (0) / Mestrado acadêmico: (0) / Mestrado profissional: (0) / Doutorado: (0) . , Integrantes: Peter Louis Antonelli - Coordenador / S Sabau - Integrante., Financiador(es): Hitachi Corp - Cooperação.
1970 - Atual

Chemical ecology - Marine and Terrestial, Descrição: Antonelli, motivated by problems in developmental biology (canalization, sensu C. H. Waddington) and in epidemiology (myxomatosis), laid the foundations of a rigorous theory of noise in Finsler geometries, i.e., anisotropic spaces (see the monograph by Antonelli and Zastawniak. He is interested in extending applications of these already developed pure mathematical ideas to the areas listed above. For example, nonlinear filtering problems were solved with original geometrical methods for Great Barrier Reef models (ibid.), but models with social interactions requires Finsler version of filtering, yet unknown.. , Situação: Em andamento; Natureza: Pesquisa. , Alunos envolvidos: Graduação: (0) / Especialização: (0) / Mestrado acadêmico: (0) / Mestrado profissional: (0) / Doutorado: (0) . , Integrantes: Peter Louis Antonelli - Coordenador / P. Sammarco - Integrante.
1970 - Atual

Finsler geometry - Deterministic and Stochastic, Descrição: For at least 5 years, Antonelli has been trying to convince his colleagues, to no avail, to do more work on 3-dimensional Finsler geometries, which are in fact 5 dimensional. However, in collaboration with I. Bucataru and S. F. Rutz, a strong start was made in a recent paper, where all the relevant geometrical invariants are worked out. A major problem is how to visualize these anisotropic spaces. We are convinced that the computer interface will provide the means to solve this aspect of the problem.. , Situação: Em andamento; Natureza: Pesquisa. , Alunos envolvidos: Graduação: (0) / Especialização: (0) / Mestrado acadêmico: (0) / Mestrado profissional: (0) / Doutorado: (0) . , Integrantes: Peter Louis Antonelli - Coordenador / I. Bucataru - Integrante / B. C. Lackey - Integrante / L. Tamassy - Integrante.
1970 - Atual

Engineering, Descrição: The work of Truesdell and Noll in geometric continuum mechanics is well known and important. However, their idea on dislocations in metals etc. was first discovered by K. Kondo, working in Japan in the 50's. He found that the idea of a connection with torsion, due to the great geometer, E. Cartan, was exactly the notion of a Burger?s defect, defined at the atomic level in the defected crystal lattice. This profound discovery was independently made by others, a few years later, one of these being E. Kroener, who developed the German school of geometrical dislocation theory in metallurgy. More than once, Kroener suggested that oriented media, e.g., liquid crystals, could be treated using Finsler geometry, however, as far as Antonelli knows, this has never been accomplished. Antonelli has been interested in this project in recent years, and as preparation for research, thought a graduate course on the geometrical theory of crystal dislocation, which were attended by some engineering students at the University of Alberta. Work in progress.. , Situação: Em andamento; Natureza: Pesquisa. , Alunos envolvidos: Graduação: (0) / Especialização: (0) / Mestrado acadêmico: (0) / Mestrado profissional: (0) / Doutorado: (0) . , Integrantes: Peter Louis Antonelli - Coordenador., Financiador(es): University of Alberta - Remuneração.

Prêmios

2006

Emeritus Professor, University of Alberta (Canada).

2001

Honorary Professorship in Geometry, Al. I. Cuza University (Romania).

1987

McCulla Professorship for Excellence in Research, University of Alberta (Canada).

Histórico profissional

Endereço profissional

University of Alberta, Department of Mathematical and Statistical Sciences. , 632 Central Academic Building, University of Alberta, Garneau, T6G2G1 - Edmonton, - Canadá, Telefone: (780) 4923396, Fax: (780) 4926826, URL da Homepage:

Experiência profissional

2012 - 2014

Universidade Federal de Pernambuco

Vínculo: Professor Visitante, Enquadramento Funcional: Professor visitante, Carga horária: 40, Regime: Dedicação exclusiva.

1992 - Atual

International Society Of Open Systems And Information Dynamics

Vínculo: Colaborador, Enquadramento Funcional: Member, Vice President (1992 - 1999), Carga horária: 0

Atividades

01/1992
Serviços técnicos especializados , OSID.,Serviço realizado, Editor (1992-1999) and Referee of OSID.
01/1992
Outras atividades técnico-científicas , OSID, OSID.,Atividade realizada, Editoração e/ou Publicação.
01/1992
Direção e administração, OSID.,Cargo ou função, Vice-president.

2006 - Atual

University of Alberta

Vínculo: Aposentado, Enquadramento Funcional: Professor Emeritus

Outras informações:
Professor Visitante (Titular) na Universidade do Estado do Rio de Janeiro (UERJ), colaborando na Pos-graduacao do Instituto de Matematica e Estatistica (IME), sob contrato temporario, 40 hs, Dedicacao Exclusiva.

1980 - 2006

University of Alberta

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

1970 - 1979

University of Alberta

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

Atividades

01/1970
Pesquisa e desenvolvimento, Department Of Mathematical Sciences.,Linhas de pesquisa
01/1970
Ensino, Mathematics, Nível: Pós-Graduação,Disciplinas ministradas, Graduate and undergraduate courses in Mathematics
01/1970
Ensino, Mathematics, Nível: Graduação,Disciplinas ministradas, graduate and undergraduate courses in Mathematics

1973 - 1974

University of Sussex

Vínculo: Professor vistante, Enquadramento Funcional: Professor Adjunto, Carga horária: 40, Regime: Dedicação exclusiva.

Outras informações:
University of Sussex scholarship

1967 - 1970

University of Tennessee at Knoxville

Vínculo: Professor Assistente, Enquadramento Funcional: Professor Assistente, Carga horária: 40, Regime: Dedicação exclusiva.

Outras informações:
On leave in Princeton for 2 years (1968,1969)

1993 - Atual

International Federation Of Nonlinear Analysts

Vínculo: Colaborador, Enquadramento Funcional: membro, Carga horária: 0

Atividades

01/1963
Serviços técnicos especializados , WCNA - World Congress of Nonlinear Analysts.,Serviço realizado, Editor and Referee of Nonlinear Analysis A and B, and Nonlinear Studies.
01/1963
Outras atividades técnico-científicas , WCNA - World Congress of Nonlinear Analysts, WCNA - World Congress of Nonlinear Analysts.,Atividade realizada, Participação e/ou Organização de Conferências.
01/1963
Conselhos, Comissões e Consultoria, WCNA - World Congress of Nonlinear Analysts.,Cargo ou função, Member of the Global Organiser Commitee.

1993 - Atual

American Mathematical Society

Vínculo: Colaborador, Enquadramento Funcional: membro, Carga horária: 0

Atividades

01/1993
Serviços técnicos especializados , Contemporary Notes.,Serviço realizado, Editor and referee, Contemporary Notes.
01/1963
Outras atividades técnico-científicas , AMS, AMS.,Atividade realizada, Participação e/ou Organização de Conferências.

1993 - Atual

Tensor Society

Vínculo: Colaborador, Enquadramento Funcional: membro, Carga horária: 0

Atividades

01/1963
Outras atividades técnico-científicas , Tensor Soc, Tensor Soc.,Atividade realizada, Participação e/ou Organização de Conferências.

1993 - Atual

The Balkan Society For Geometry And Its Applications

Vínculo: Colaborador, Enquadramento Funcional: membro co-fundador, Carga horária: 0

Atividades

01/1963
Outras atividades técnico-científicas , Balkan Soc, Balkan Soc.,Atividade realizada, Editoraçâo e/ou Publicação.

2007 - 2009

Instituto de Matematica e Estatistica - UERJ

Vínculo: Professor vistante, Enquadramento Funcional: Professor titular, Carga horária: 40, Regime: Dedicação exclusiva.

Outras informações:
Professor Emerito da Universidade de Alberta, Canadá, Professor Visitante na UERJ, colaborador permanente e membro fundador do Mestrado em Ciencias Computacionais do IME - UERJ, como pesquisador, professor, orientador e lider de area de pesquisa.

Atividades

10/2007 - 06/2009
Pesquisa e desenvolvimento, Mestrado em Ciencias Computacionais.,Linhas de pesquisa
10/2007 - 06/2009
Ensino, Mestrado em Ciencias Computacionais, Nível: Pós-Graduação,Disciplinas ministradas, Equacoes Diferencias Ordinarias (1a e 2a ordem), Modelagem Matematica e Computacional em Biologia, Topicos Especiais - Geometria Diferencial
10/2007 - 06/2009
Treinamentos ministrados , Mestrado em Ciencias Computacionais.,Treinamentos ministrados, Orientacao do aluno Carlos Eduardo Hirakawa (mestrado), Tecnicas Computacionais (comp. algebrica aplicada), Tecnicas Matematicas (geometria diferencial aplicada)