Vitor Araujo

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Maria Jose PacificoFederal University of Rio de JaneiroVerified email at im.ufrj.br
José Ferreira AlvesFull Professor - University of PortoVerified email at fc.up.pt
Marcelo VianaProfessor of MathematicsVerified email at impa.br
Luciana SalgadoUniversidade Federal do Rio de Janeiro - UFRJ-BrasilVerified email at im.ufrj.br
Paulo VarandasInstituto de Matemática, Universidade Federal da BahiaVerified email at ufba.br
Vilton PinheiroProfessor Doutor, Federal University of BahiaVerified email at ufba.br
Alexander BufetovCNRS, Steklov Mathematical Institute, IITP RAS, NRU Higher School of EconomicsVerified email at univ-amu.fr
Ali TahzibiUniversidade de São PauloVerified email at icmc.usp.br
Stefano GalatoloUniversità di PisaVerified email at dm.unipi.it
Oliver ButterleyUniversity of Rome Tor VergataVerified email at mat.uniroma2.it
benoit saussolAix Marseille UniversityVerified email at univ-brest.fr
Simion FilipProfessor of Mathematics, University of ChicagoVerified email at math.uchicago.edu
Mário BessaFull Professor at Department of Science and Technology of Aberta UniversityVerified email at uab.pt
Carlos H. VasquezInstituto de Matemáticas, Pontificia Universidad Católica de ValparaísoVerified email at pucv.cl
Stefano LuzzattoResearch Scientist, Abdus Salam International Centre for Theoretical PhysicsVerified email at ictp.it
Augusto Armando de Castro JúniorProfessor of Mathematics, Federal University of Bahia (UFBA)Verified email at impa.br

Vitor Araujo

Professor no Departamento de Matemática da Universidade Federal da Bahia

Verified email at ufba.br - Homepage

Ergodic Theory Dynamical Systems Differential Equations Random Dynamical Systems


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Three-dimensional flows, volume 53 of Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge. A Series of Modern Surveys in Mathematics [Results in Mathematics and Related … V Araújo, MJ Pacifico Springer, Heidelberg, 2010	336*	2010
Singular-hyperbolic attractors are chaotic V Araujo, MJ Pacifico, ER Pujals, M Viana Trans. Amer. Math. Soc 361 (5), 2431-2485, 2009	168	2009
Random perturbations of nonuniformly expanding maps JF Alves, V Araujo Astérisque 286, 25-62, 2003	108	2003
Attractors and time averages for random maps V Araújo Annales de l'Institut Henri Poincare (C) Nonnear Analysis 17 (3), 307-369, 2000	70	2000
Exponential Decay of Correlations for Nonuniformly Hyperbolic Flows with a Stable Foliation, Including the Classical Lorenz Attractor V Araújo, I Melbourne Annales Henri Poincaré 17, 2975-3004, 2016	60	2016
On the uniform hyperbolicity of some nonuniformly hyperbolic systems J Alves, V Araújo, B Saussol Proceedings of the American Mathematical Society 131 (4), 1303-1309, 2003	57	2003
Large deviations for non-uniformly expanding maps V Araújo, MJ Pacifico Journal of statistical physics 125, 411-453, 2006	55	2006
Rapid mixing for the Lorenz attractor and statistical limit laws for their time-1 maps V Araújo, I Melbourne, P Varandas Communications in Mathematical Physics 340 (3), 901-938, 2015	51	2015
Stochastic stability at the boundary of expanding maps V Araújo, A Tahzibi Nonlinearity 18 (3), 939, 2005	37	2005
Existence and smoothness of the stable foliation for sectional hyperbolic attractors V Araújo, I Melbourne Bulletin of the London Mathematical Society 49 (2), 351-367, 2017	36	2017
Hyperbolic times: frequency versus integrability JF Alves, V Araujo Ergodic Theory and Dynamical Systems 24 (02), 329-346, 2004	35	2004
Robust exponential decay of correlations for singular-flows V Araújo, P Varandas Communications in Mathematical Physics 311, 215-246, 2012	34	2012
Large deviations bound for semiflows over a non-uniformly expanding base V Araújo* Bulletin of the Brazilian Mathematical Society 38 (3), 335-376, 2007	32	2007
Decay of correlations for maps with uniformly contracting fibers and logarithm law for singular hyperbolic attractors V Araujo, S Galatolo, MJ Pacifico Mathematische Zeitschrift,, 2013	31	2013
Open sets of Axiom A flows with exponentially mixing attractors V Araújo, O Butterley, P Varandas Proceedings of the American Mathematical Society 144 (7), 2971-2984, 2016	27	2016
Infinitely many stochastically stable attractors V Araújo Nonlinearity 14 (3), 583, 2001	26	2001
Infinitesimal Lyapunov functions for singular flows V Araujo, L Salgado Mathematische Zeitschrift 275 (3), 863-897, 2013	25*	2013
On the volume of singular-hyperbolic sets JF Alves, V Araújo, MJ Pacifico, V Pinheiro Dynamical Systems 22 (3), 249-267, 2007	24	2007
Abundance of wild historic behavior V Araujo, V Pinheiro Bulletin of the Brazilian Mathematical Society, New Series 52 (1), 41-76, 2021	23	2021
Mixing properties and statistical limit theorems for singular hyperbolic flows without a smooth stable foliation V Araújo, I Melbourne Advances in Mathematics 349, 212-245, 2019	21	2019

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