Artur Avila Cordeiro de Melo

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Produções bibliográficas

• AVILA, A. ; CROVISIER, S. ; WILKINSON, A. . C1 density of stable ergodicity. ADVANCES IN MATHEMATICS , v. 379, p. 107496, 2021.

• AVILA, ARTUR ; FORNI, GIOVANNI ; RAVOTTI, DAVIDE ; ULCIGRAI, CORINNA . Mixing for smooth time-changes of general nilflows. ADVANCES IN MATHEMATICS , v. 385, p. 107759, 2021.

• AVILA, A. ; HUBERT, P. . Recurrence for the wind-tree model. ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE , v. 37, p. 1-11, 2020.

• ARTUR AVILA ; XAVIER BUFF ; ARNAUD CHERITAT . Smooth Siegel disks everywhere. ASTERISQUE , v. 416, p. 133-180, 2020.

• ARTUR AVILA ; MARCELO VIANA . Stable accessibility with 2-dimensional center. ASTERISQUE , v. 416, p. 301-320, 2020.

• AVILA, ARTUR ; FAYAD, BASSAM ; LE CALVEZ, PATRICE ; XU, DISHENG ; ZHANG, ZHIYUAN . On mixing diffeomorphisms of the disc. INVENTIONES MATHEMATICAE , v. 220, p. 673-714, 2020.

• AVILA, ARTUR ; Konstantin Khanin ; MARTIN LEGUIL . Invariant graphs and spectral type of Schrodinger operators. Pure and Applied Functional Analysis , v. 5, p. 1257-1277, 2020.

• AVILA, ARTUR ; JITOMIRSKAYA, SVETLANA ; ZHOU, QI . Second phase transition line. MATHEMATISCHE ANNALEN , v. 370, p. 271-285, 2018.

• AVILA, ARTUR ; MATHEUS, CARLOS ; YOCCOZ, JEAN-CHRISTOPHE . Zorich conjecture for hyperelliptic Rauzy-Veech groups. MATHEMATISCHE ANNALEN , v. 370, p. 785-809, 2018.

• AVILA, ARTUR ; KOCSARD, ALEJANDRO ; LIU, XIAO-CHUAN . Liv?ic theorem for diffeomorphism cocycles. GEOMETRIC AND FUNCTIONAL ANALYSIS , v. 28, p. 943-964, 2018.

• AVILA, ARTUR ; CHERAGHI, DAVOUD . Statistical properties of quadratic polynomials with a neutral fixed point. JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY , v. 20, p. 2005-2062, 2018.

• ARTUR AVILA ; MARTIN LEGUIL . Weak mixing properties of interval exchange transformations and translation flows. BULLETIN DE LA SOCIETE MATHEMATIQUE DE FRANCE , v. 146, p. 391-426, 2018.

• AVILA, A. ; JITOMIRSKAYA, S. ; MARX, C. A. . Spectral theory of extended Harper?s model and a question by Erd-s and Szekeres. INVENTIONES MATHEMATICAE , v. 210, p. 283-339, 2017.

• AVILA, ARTUR ; YOU, JIANGONG ; ZHOU, QI . Sharp phase transitions for the almost Mathieu operator. DUKE MATHEMATICAL JOURNAL , v. 166, p. 2697-2718, 2017.

• AVILA, ARTUR ; ESKIN, ALEX ; MÖLLER, MARTIN . Symplectic and isometric SL(2,#x211D;)-invariant subbundles of the Hodge bundle. JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK , v. 2017, p. 1-20, 2017.

• AVILA, ARTUR ; DE SIMOI, JACOPO ; KALOSHIN, VADIM . An integrable deformation of an ellipse of small eccentricity is an ellipse. Annals of Mathematics , v. 184, p. 527-558, 2016.

• AVILA, ARTUR ; DELECROIX, VINCENT . Weak mixing directions in non-arithmetic Veech surfaces. Journal of the American Mathematical Society , v. 29, p. 1167-1208, 2016.

• AVILA, ARTUR ; CANDELA, PABLO . Towers for commuting endomorphisms, and combinatorial applicationsTours pour endomorphismes commutants, et applications combinatoires. Annales de l'Institut Fourier , v. 66, p. 1529-1544, 2016.

• AVILA, ARTUR ; HUBERT, PASCAL ; SKRIPCHENKO, ALEXANDRA . On the Hausdorff dimension of the Rauzy gasket. BULLETIN DE LA SOCIETE MATHEMATIQUE DE FRANCE , v. 144, p. 539-568, 2016.

• AVILA, ARTUR ; HUBERT, PASCAL ; SKRIPCHENKO, ALEXANDRA . Diffusion for chaotic plane sections of 3-periodic surfaces. INVENTIONES MATHEMATICAE , v. 206, p. 109-146, 2016.

• AVILA, A. ; CROVISIER, S. ; WILKINSON, A. . Diffeomorphisms with positive metric entropy. Publications Mathematiques de l IHES , v. 124, p. 319-347, 2016.

• AVILA, A. ; FAYAD, B. ; KOCSARD, A. . On manifolds supporting distributionally uniquely ergodic diffeomorphisms. Journal of Differential Geometry , v. 99, p. 191-213, 2015.

• AVILA, ARTUR . On the Kotani-Last and Schrödinger conjectures. Journal of the American Mathematical Society , v. 28, p. 579-616, 2015.

• AVILA, ARTUR ; KRIKORIAN, RAPHAËL . Monotonic cocycles. Inventiones Mathematicae , v. 202, p. 271-331, 2015.

• AVILA, ARTUR . Global theory of one-frequency Schrödinger operators. Acta Mathematica , v. 215, p. 1-54, 2015.

• AVILA, ARTUR ; VIANA, MARCELO ; WILKINSON, AMIE . Absolute continuity, Lyapunov exponents and rigidity I: geodesic flows. Journal of the European Mathematical Society (Print) , v. 17, p. 1435-1462, 2015.

• AVILA, A. ; DOLGOPYAT, D. ; DURYEV, E. ; SARIG, O. . The visits to zero of a random walk driven by an irrational rotation. Israel Journal of Mathematics , v. 207, p. 653-717, 2015.

• AVILA, ARTUR ; DAMANIK, DAVID ; ZHANG, ZHENGHE . Singular Density of States Measure for Subshift and Quasi-Periodic Schrödinger Operators. Communications in Mathematical Physics , v. 330, p. 469-498, 2014.

• AVILA, ARTUR ; JITOMIRSKAYA, SVETLANA ; SADEL, CHRISTIAN . Complex one-frequency cocycles. Journal of the European Mathematical Society (Print) , v. 16, p. 1915-1935, 2014.

• AVILA, ARTUR ; GOUËZEL, SÉBASTIEN . Small eigenvalues of the Laplacian for algebraic measures in moduli space, and mixing properties of the Teichmüller flow. Annals of Mathematics , v. 178, p. 385-442, 2013.

• AVILA, ARTUR ; MATHEUS, CARLOS ; YOCCOZ, JEAN-CHRISTOPHE . $${SL(2, mathbb{R})}$$ S L ( 2 , R ) -invariant probability measures on the moduli spaces of translation surfaces are regular. Geometric and Functional Analysis (Printed ed.) , v. 23, p. 1705-1729, 2013.

• AVILA, A. ; SANTAMARIA, J. ; VIANA, M. . Holonomy invariance: rough regularity and applications to Lyapunov exponents. Astérisque , v. 358, p. 13-74, 2013.

• AVILA, ARTUR . On rigidity of critical circle maps. Sociedade Brasileira de Matematica. Boletim, Nova Serie , v. 44, p. 611-619, 2013.

• AVILA, A. ; BOCHI, J. . Nonuniform hyperbolicity, global dominated splittings and generic properties of volume-preserving diffeomorphisms. Transactions of the American Mathematical Society , v. 364, p. 2883-2907, 2012.

• AVILA, A. ; BOCHI, J. ; DAMANIK, D. . Opening gaps in the spectrum of strictly ergodic Schrodinger operators. Journal of the European Mathematical Society (Print) , v. 14, p. 61-106, 2012.

• AVILA, ARTUR ; RESENDE, MARIA JOÃO . Exponential Mixing for the Teichmuller flow in the Space of Quadratic Differentials. Commentarii Mathematici Helvetici (Printed ed.) , v. 87, p. 589-638, 2012.

• AVILA, A. ; LYUBICH, M. ; SHEN, W. . Parapuzzle of the Multibrot set and typical dynamics of unimodal maps. Journal of the European Mathematical Society (Print) , v. 13, p. 27-56, 2011.

• AVILA, A. ; JITOMIRSKAYA, J. . Hölder continuity of absolutely continuous spectral measures for one-frequency Schrödinger operators. Communications in Mathematical Physics , v. 301, p. 563-581, 2011.

• AVILA, A. . Density of positive Lyapunov exponents for SL(2,R) cocycles. Journal of the American Mathematical Society , v. 24, p. 999-1014, 2011.

• AVILA, A. ; KOCSARD, A. . Cohomological equations and invariant distributions for minimal circle diffeomorphisms. Duke Mathematical Journal , v. 158, p. 501-536, 2011.

• AVILA, A. ; FAYAD, B. ; KRIKORIAN, R. . A KAM scheme for SL(2,R) cocycles with Liouvillean frequencies. Geometric and Functional Analysis (Printed ed.) , v. 21, p. 1001-1019, 2011.

• AVILA, A. ; Lyubich, M. . The full renormalization horseshoe for unimodal maps of higher degree: exponential contraction along hybrid classes. Publications Mathématiques (Bures-sur-Yvette) , v. 114, p. 171-223, 2011.

• AVILA, A. ; FORNI, G. ; ULCIGRAI, C. . Mixing for time-changes of Heisenberg nilflows. Journal of Differential Geometry , v. 89, p. 369-410, 2011.

• AVILA, A. ; JITOMIRSKAYA, J. . Almost localization and almost reducibility. Journal of the European Mathematical Society (Print) , v. 12, p. 93-131, 2010.

• AVILA, A. ; BOCHI, J. ; Yoccoz, J.-C. . Uniformly hyperbolic finite-valued SL(2,R)-cocycles. Commentarii Mathematici Helvetici (Printed ed.) , v. 85, p. 813-884, 2010.

• AVILA, A. . On the regularization of conservative maps. Acta Mathematica , v. 205, p. 5-18, 2010.

• AVILA, A. ; VIANA, M. . Extremal Lyapunov exponents: an invariant principle and applications. Inventiones Mathematicae , v. 181, p. 115-174, 2010.

• AVILA, ARTUR ; LAST, YORAM ; SIMON, BARRY . Bulk universality and clock spacing of zeros for ergodic Jacobi matrices with absolutely continuous spectrum. ANAL PDE , v. 3, p. 81-108, 2010.

• AVILA, A. ; JITOMIRSKAYA, J. . The Ten Martini Problem. Annals of Mathematics , v. 170, p. 303-342, 2009.

• AVILA, A. ; KAHN, J. ; LYUBICH, M. ; SHEN, W. . Combinatorial rigidity for unicritical polynomials. Annals of Mathematics , v. 170, p. 783-797, 2009.

• AVILA, A. ; BOCHI, J. ; DAMANIK, D. . Cantor Spectrum for Schrödinger Operators with Potentials arising from Generalized Skew-shifts. Duke Mathematical Journal , v. 146, p. 253-280, 2009.

• AVILA, A. . On the spectrum and Lyapunov exponent of limit periodic Schrodinger operators. Communications in Mathematical Physics , v. 288, p. 907-918, 2009.

• AVILA, A. ; BOCHI, J. ; WILKINSON, A. . Nonuniform center bunching and the genericity of ergodicity among C^1 partially hyperbolic symplectomorphisms. Annales Scientifiques de l'Ecole Normale Supérieure , v. 42, p. 931-979, 2009.

• AVILA, A. ; LYUBICH, M. . Hausdorff dimension and conformal measures of Feigenbaum Julia sets. Journal of the American Mathematical Society , v. 21, p. 305-363, 2008.

• AVILA, A. ; DAMANIK, D. . Absolute continuity of the integrated density of states for the almost Mathieu operator with non-critical coupling. Inventiones Mathematicae , v. 172, p. 439-453, 2008.

• AVILA, A. ; FORNI, G. . Weak mixing for interval exchange transformations and translation flows. Annals of Mathematics , v. 175, p. 635-664, 2007.

• AVILA, A. ; VIANA, M. . Simplicity of Lyapunov spectra: proof of the Zorich-Kontsevich conjecture. Acta Mathematica , v. 198, p. 1-56, 2007.

• AVILA, A. ; BOCHI, J. . A uniform dichotomy for generic SL(2,R) cocycles over a minimal base. Bulletin de la Société Mathématique de France , v. 135, p. 407-417, 2007.

• AVILA, A. ; BOCHI, J. . Generic expanding maps without absolutely continuous invariant sigma-finite measure. Mathematical Research Letters , v. 14, p. 721-730, 2007.

• AVILA, A. ; VIANA, M. . Simplicity of Lyapunov spectra: a sufficient criterion. Portugaliae Mathematica , v. 64, p. 311-376, 2007.

• AVILA, A. ; KRIKORIAN, R. . Reducibility or non-uniform hyperbolicity for quasiperiodic Schrodinger cocycles. Annals of Mathematics , v. 164, p. 911-940, 2006.

• AVILA, A. ; GOUEZEL, S. ; Yoccoz, J.-C. . Exponential mixing for the Teichmüller flow. Publications Mathématiques. Institut des Hautes Études Scientifiques , v. 104, p. 143-211, 2006.

• AVILA, A. ; BOCHI, J. . A generic C^1 map has no absolutely continuous invariant measure. Nonlinearity (Bristol) , v. 19, p. 2717-2725, 2006.

• AVILA, A. ; GOUEZEL, S. ; TSUJII, M. . Smoothness of solenoidal attractors. Discrete and Continuous Dynamical Systems. Series B , v. 15, p. 21-35, 2006.

• AVILA, A. ; MOREIRA, C.G. . Statistical properties of unimodal maps: the quadratic family. Annals of Mathematics , v. 161, p. 831-881, 2005.

• AVILA, A. ; MOREIRA, C.G. . Statistical properties of unimodal maps: physical measures, periodic points and pathological laminations. Publications Mathématiques. Institut des Hautes Études Scientifiques , v. 101, p. 1-67, 2005.

• AVILA, A. ; DAMANIK, D. . Generic singular spectrum for ergodic Schrödinger operators. Duke Mathematical Journal , v. 130, p. 393-400, 2005.

• AVILA, A. ; VIANA, M. . Dynamics in the moduli space of Abelian differentials. Portugaliae Mathematica , v. 62, p. 531-547, 2005.

• AVILA, A. ; BUFF, X. ; CHERITAT, A. . Siegel disks with smooth boundaries. Acta Mathematica , v. 193, p. 1-30, 2004.

• AVILA, A. ; MOREIRA, C.G. . Quasisymmetric robustness of the Collet-Eckmann condition in the quadratic family. Bulletin of the Brazilian Mathematical Society , v. 35, p. 291-331, 2004.

• ABDENUR, F. ; AVILA, A. ; BOCHI, J. . Robust transitivity and topological mixing for C^1-flows. Proceedings of the American Mathematical Society , v. 132, p. 699-705, 2004.

• AVILA, A. . Convergence of an exact quantization scheme. Communications in Mathematical Physics , v. 249, p. 305-318, 2004.

• AVILA, A. ; LYUBICH, M. ; DE MELO, W. . Regular or stochastic dynamics in real analytic families of unimodal maps. Inventiones Mathematicae , v. 154, p. 451-550, 2003.

• AVILA, A. ; MOREIRA, C.G. . Statistical properties of unimodal maps: smooth families with negative Schwarzian derivative. Astérisque , v. 286, p. 81-118, 2003.

• AVILA, A. ; BOCHI, J. . A formula with some applications to the theory of Lyapunov exponents. Israel Journal of Mathematics , v. 131, p. 125-137, 2002.

• AVILA, A. . Infinitesimal perturbations of rational maps. Nonlinearity (Bristol) , v. 15, p. 695-704, 2002.

• AVILA, ARTUR ; DELECROIX, VINCENT . Some Monoids of Pisot Matrices. Springer Proceedings in Mathematics & Statistics. 1ed.: Springer International Publishing, 2019, v. 285, p. 21-30.

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