Edit Profile Araújo, Vítor Compute Distance To: Compute Author ID: araujo.vitor Published as: Araujo, V.; Araujo, Vitor; Araujo, Vítor; Araúco, Vítor; Araújo, V.; Araújo, Vitor; Araújo, Vítor External Links: MGP · Wikidata · ORCID Documents Indexed: 48 Publications since 2000, including 2 Books all top 5 Co-Authors 8 single-authored 12 Pacifico, Maria José 5 Alves, José Ferreira 5 Varandas, Paulo 4 Melbourne, Ian 3 Salgado, Luciana 3 Silva, Pedro V. 2 Bufetov, Aleksandr Igorevich 2 Butterley, Oliver 2 Galatolo, Stefano 2 Pinheiro, Vilton 2 Tahzibi, Ali 2 Viana, Marcelo 1 Arbieto, Alexander 1 Aytaç, Hale 1 Bessa, Mário 1 Castro, Armando 1 Filip, Simion 1 Luzzatto, Stefano 1 Pinheiro, Mariana 1 Pujals, Enrique Ramiro 1 Santos, Felipe 1 Saussol, Benoît 1 Solano, Javier 1 Souza, Andressa 1 Sykiotis, Mihalis 1 Trindade, Edvan 1 Vásquez, Carlos H. all top 5 Serials 5 Nonlinearity 4 Mathematische Zeitschrift 3 Communications in Mathematical Physics 3 Proceedings of the American Mathematical Society 3 Dynamical Systems 2 Advances in Mathematics 2 Journal of Differential Equations 2 Ergodic Theory and Dynamical Systems 2 Discrete and Continuous Dynamical Systems 2 Stochastics and Dynamics 1 Communications in Algebra 1 Journal of Statistical Physics 1 Bulletin of the London Mathematical Society 1 Fundamenta Mathematicae 1 Journal of Algebra 1 Journal of the London Mathematical Society. Second Series 1 Osaka Journal of Mathematics 1 Transactions of the American Mathematical Society 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Journal of Dynamics and Differential Equations 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Annales Henri Poincaré 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Journal of Algebra and its Applications 1 Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge 1 Publicações Matemáticas do IMPA all top 5 Fields 45 Dynamical systems and ergodic theory (37-XX) 3 Group theory and generalizations (20-XX) 3 Probability theory and stochastic processes (60-XX) 2 Geometry (51-XX) 1 Combinatorics (05-XX) 1 Algebraic geometry (14-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 38 Publications have been cited 340 times in 219 Documents Cited by ▼ Year ▼ Singular-hyperbolic attractors are chaotic. Zbl 1214.37010Araujo, V.; Pacifico, M. J.; Pujals, E. R.; Viana, M. 47 2009 Three-dimensional flows. Zbl 1202.37002Araújo, Vítor; Pacifico, Maria José 36 2010 On the uniform hyperbolicity of some nonuniformly hyperbolic systems. Zbl 1014.37018Alves, José F.; Araújo, Vítor; Saussol, Benoît 23 2003 Random perturbations of nonuniformly expanding maps. Zbl 1043.37016Alves, José Ferreira; Araújo, Vítor 22 2003 Large deviations for non-uniformly expanding maps. Zbl 1112.37025Araújo, V.; Pacifico, M. J. 20 2006 Exponential decay of correlations for nonuniformly hyperbolic flows with a \(C^{1+\alpha}\) stable foliation, including the classical Lorenz attractor. Zbl 1367.37033Araújo, Vitor; Melbourne, Ian 14 2016 Rapid mixing for the Lorenz attractor and statistical limit laws for their time-1 maps. Zbl 1356.37002Araújo, V.; Melbourne, I.; Varandas, P. 14 2015 Attractors and time averages for random maps. Zbl 0974.37036Araújo, Vítor 14 2000 Decay of correlations for maps with uniformly contracting fibers and logarithm law for singular hyperbolic attractors. Zbl 1337.37019Araújo, Vitor; Galatolo, Stefano; Pacifico, Maria José 13 2014 Robust exponential decay of correlations for singular-flows. Zbl 1314.37010Araújo, Vítor; Varandas, Paulo 13 2012 Large deviations bound for semiflows over a nonuniformly expanding base. Zbl 1125.37016Araújo, Vítor 11 2007 Stochastic stability at the boundary of expanding maps. Zbl 1079.37018Araújo, Vítor; Tahzibi, Ali 11 2005 Existence and smoothness of the stable foliation for sectional hyperbolic attractors. Zbl 1378.37070Araújo, Vitor; Melbourne, Ian 10 2017 Open sets of Axiom A flows with exponentially mixing attractors. Zbl 1359.37066Araújo, V.; Butterley, O.; Varandas, P. 7 2016 Stochastic stability of non-uniformly hyperbolic diffeomorphisms. Zbl 1210.37022Alves, José F.; Araúco, Vítor; Vásquez, Carlos H. 7 2007 Dominated splittings for flows with singularities. Zbl 1290.37012Araujo, Vitor; Arbieto, Alexander; Salgado, Luciana 6 2013 Invariant measures for interval maps with critical points and singularities. Zbl 1184.37032Araújo, Vítor; Luzzatto, Stefano; Viana, Marcelo 6 2009 Physical measures for infinite-modal maps. Zbl 1173.37015Araújo, Vítor; Pacifico, Maria José 6 2009 On the volume of singular-hyperbolic sets. Zbl 1226.37014Alves, J. F.; Araújo, V.; Pacifico, M. J.; Pinheiro, V. 6 2007 Infinitesimal Lyapunov functions for singular flows. Zbl 1408.37056Araujo, Vitor; Salgado, Luciana 5 2013 A large deviations bound for the Teichmüller flow on the moduli space of abelian differentials. Zbl 1223.37027Araújo, Vítor; Bufetov, Alexander I. 5 2011 Semicontinuity of entropy, existence of equilibrium states and continuity of physical measures. Zbl 1120.37016Araújo, Vítor 5 2007 Hyperbolic times: frequency versus integrability. Zbl 1069.37020Alves, José F.; Araújo, Vítor 5 2004 Finiteness results for subgroups of finite extensions. Zbl 1316.20025Araújo, Vítor; Silva, Pedro V.; Sykiotis, Mihalis 4 2015 Multidimensional Rovella-like attractors. Zbl 1251.37043Araújo, V.; Castro, A.; Pacifico, M. J.; Pinheiro, V. 4 2011 Dominated splitting and zero volume for incompressible three flows. Zbl 1223.37036Araujo, Vitor; Bessa, Mário 4 2008 On Hölder-continuity of Oseledets subspaces. Zbl 1362.37010Araújo, Vítor; Bufetov, Alexander I.; Filip, Simion 3 2016 Physical measures at the boundary of hyperbolic maps. Zbl 1161.37029Araújo, Vítor; Tahzibi, Ali 3 2008 Infinitely many stochastically stable attractors. Zbl 1004.37006Araújo, Vítor 3 2001 Geometric characterizations of virtually free groups. Zbl 1368.20053Araújo, Vítor; Silva, Pedro V. 2 2017 Dominated splitting for exterior powers and singular hyperbolicity. Zbl 1359.37072Araujo, Vitor; Salgado, Luciana 2 2015 Statistical properties of Lorenz-like flows, recent developments and perspectives. Zbl 1302.37022Araujo, Vitor; Galatolo, Stefano; Pacifico, Maria José 2 2014 Absolutely continuous invariant measures for random non-uniformly expanding maps. Zbl 1328.37032Araujo, Vitor; Solano, Javier 2 2014 Upper large deviations bound for singular-hyperbolic attracting sets. Zbl 07062570Araujo, Vitor; Souza, Andressa; Trindade, Edvan 1 2019 Mixing properties and statistical limit theorems for singular hyperbolic flows without a smooth stable foliation. Zbl 1442.37019Araújo, V.; Melbourne, I. 1 2019 Erratum to: “Open sets of axiom A flows with exponentially mixing attractors”. Zbl 1401.37035Araújo, Vitor; Butterley, Oliver; Varandas, Paulo 1 2018 Decay of correlations and laws of rare events for transitive random maps. Zbl 1377.37015Araújo, Vítor; Aytaç, Hale 1 2017 Three dimensional flows. Paper from the 26th Brazilian Mathematics Colloquium – Colóquio Brasileiro de Matemática, Rio de Janeiro, Brazil, July 29–August 3, 2007. Zbl 1151.37022Araújo, Vítor; Pacífico, Maria José 1 2007 Upper large deviations bound for singular-hyperbolic attracting sets. Zbl 07062570Araujo, Vitor; Souza, Andressa; Trindade, Edvan 1 2019 Mixing properties and statistical limit theorems for singular hyperbolic flows without a smooth stable foliation. Zbl 1442.37019Araújo, V.; Melbourne, I. 1 2019 Erratum to: “Open sets of axiom A flows with exponentially mixing attractors”. Zbl 1401.37035Araújo, Vitor; Butterley, Oliver; Varandas, Paulo 1 2018 Existence and smoothness of the stable foliation for sectional hyperbolic attractors. Zbl 1378.37070Araújo, Vitor; Melbourne, Ian 10 2017 Geometric characterizations of virtually free groups. Zbl 1368.20053Araújo, Vítor; Silva, Pedro V. 2 2017 Decay of correlations and laws of rare events for transitive random maps. Zbl 1377.37015Araújo, Vítor; Aytaç, Hale 1 2017 Exponential decay of correlations for nonuniformly hyperbolic flows with a \(C^{1+\alpha}\) stable foliation, including the classical Lorenz attractor. Zbl 1367.37033Araújo, Vitor; Melbourne, Ian 14 2016 Open sets of Axiom A flows with exponentially mixing attractors. Zbl 1359.37066Araújo, V.; Butterley, O.; Varandas, P. 7 2016 On Hölder-continuity of Oseledets subspaces. Zbl 1362.37010Araújo, Vítor; Bufetov, Alexander I.; Filip, Simion 3 2016 Rapid mixing for the Lorenz attractor and statistical limit laws for their time-1 maps. Zbl 1356.37002Araújo, V.; Melbourne, I.; Varandas, P. 14 2015 Finiteness results for subgroups of finite extensions. Zbl 1316.20025Araújo, Vítor; Silva, Pedro V.; Sykiotis, Mihalis 4 2015 Dominated splitting for exterior powers and singular hyperbolicity. Zbl 1359.37072Araujo, Vitor; Salgado, Luciana 2 2015 Decay of correlations for maps with uniformly contracting fibers and logarithm law for singular hyperbolic attractors. Zbl 1337.37019Araújo, Vitor; Galatolo, Stefano; Pacifico, Maria José 13 2014 Statistical properties of Lorenz-like flows, recent developments and perspectives. Zbl 1302.37022Araujo, Vitor; Galatolo, Stefano; Pacifico, Maria José 2 2014 Absolutely continuous invariant measures for random non-uniformly expanding maps. Zbl 1328.37032Araujo, Vitor; Solano, Javier 2 2014 Dominated splittings for flows with singularities. Zbl 1290.37012Araujo, Vitor; Arbieto, Alexander; Salgado, Luciana 6 2013 Infinitesimal Lyapunov functions for singular flows. Zbl 1408.37056Araujo, Vitor; Salgado, Luciana 5 2013 Robust exponential decay of correlations for singular-flows. Zbl 1314.37010Araújo, Vítor; Varandas, Paulo 13 2012 A large deviations bound for the Teichmüller flow on the moduli space of abelian differentials. Zbl 1223.37027Araújo, Vítor; Bufetov, Alexander I. 5 2011 Multidimensional Rovella-like attractors. Zbl 1251.37043Araújo, V.; Castro, A.; Pacifico, M. J.; Pinheiro, V. 4 2011 Three-dimensional flows. Zbl 1202.37002Araújo, Vítor; Pacifico, Maria José 36 2010 Singular-hyperbolic attractors are chaotic. Zbl 1214.37010Araujo, V.; Pacifico, M. J.; Pujals, E. R.; Viana, M. 47 2009 Invariant measures for interval maps with critical points and singularities. Zbl 1184.37032Araújo, Vítor; Luzzatto, Stefano; Viana, Marcelo 6 2009 Physical measures for infinite-modal maps. Zbl 1173.37015Araújo, Vítor; Pacifico, Maria José 6 2009 Dominated splitting and zero volume for incompressible three flows. Zbl 1223.37036Araujo, Vitor; Bessa, Mário 4 2008 Physical measures at the boundary of hyperbolic maps. Zbl 1161.37029Araújo, Vítor; Tahzibi, Ali 3 2008 Large deviations bound for semiflows over a nonuniformly expanding base. Zbl 1125.37016Araújo, Vítor 11 2007 Stochastic stability of non-uniformly hyperbolic diffeomorphisms. Zbl 1210.37022Alves, José F.; Araúco, Vítor; Vásquez, Carlos H. 7 2007 On the volume of singular-hyperbolic sets. Zbl 1226.37014Alves, J. F.; Araújo, V.; Pacifico, M. J.; Pinheiro, V. 6 2007 Semicontinuity of entropy, existence of equilibrium states and continuity of physical measures. Zbl 1120.37016Araújo, Vítor 5 2007 Three dimensional flows. Paper from the 26th Brazilian Mathematics Colloquium – Colóquio Brasileiro de Matemática, Rio de Janeiro, Brazil, July 29–August 3, 2007. Zbl 1151.37022Araújo, Vítor; Pacífico, Maria José 1 2007 Large deviations for non-uniformly expanding maps. Zbl 1112.37025Araújo, V.; Pacifico, M. J. 20 2006 Stochastic stability at the boundary of expanding maps. Zbl 1079.37018Araújo, Vítor; Tahzibi, Ali 11 2005 Hyperbolic times: frequency versus integrability. Zbl 1069.37020Alves, José F.; Araújo, Vítor 5 2004 On the uniform hyperbolicity of some nonuniformly hyperbolic systems. Zbl 1014.37018Alves, José F.; Araújo, Vítor; Saussol, Benoît 23 2003 Random perturbations of nonuniformly expanding maps. Zbl 1043.37016Alves, José Ferreira; Araújo, Vítor 22 2003 Infinitely many stochastically stable attractors. Zbl 1004.37006Araújo, Vítor 3 2001 Attractors and time averages for random maps. Zbl 0974.37036Araújo, Vítor 14 2000 all cited Publications top 5 cited Publications all top 5 Cited by 264 Authors 24 Araújo, Vítor 17 Varandas, Paulo 16 Melbourne, Ian 12 Pacifico, Maria José 11 Alves, José Ferreira 9 Galatolo, Stefano 8 Arbieto, Alexander 7 Luzzatto, Stefano 6 Butterley, Oliver 6 Morales, Carlos Arnoldo 6 Pinheiro, Vilton 6 Vaienti, Sandro 5 Salgado, Luciana 5 Viana, Marcelo 5 Wen, Xiao 4 Artigue, Alfonso 4 Bessa, Mário 4 Freitas, Jorge Milhazes 4 Silva, Pedro V. 4 Terhesiu, Dalia 4 Yang, Dawei 3 Bautista, Serafín 3 Carrasco-Olivera, Dante 3 Castro, Armando 3 Kachurovskii, Aleksander G. 3 Liverani, Carlangelo 3 Murray, Rua 3 Nicol, Matthew 3 Nisoli, Isaia 3 Podvigin, Ivan Viktorovich 3 Rocha, Jorge 3 San Martín Rebolledo, Bernardo 3 Wen, Lan 2 Bahsoun, Wael 2 Baladi, Viviane 2 Bálint, Péter 2 Bomfim, Thiago 2 Bonomo, Wescley 2 Bose, Christopher J. 2 Bruin, Henk 2 Cao, Yongluo 2 Catsigeras, Eleonora 2 Dai, Xiongping 2 Demers, Mark F. 2 Díaz, Lorenzo Justiniano 2 Fakhari, Abbas 2 Froyland, Gary 2 Gan, Shaobo 2 Gelfert, Katrin Grit 2 Ghil, Michael 2 Gluhovsky, Alexander 2 González-Tokman, Cecilia 2 Gorodetski, Anton 2 Hittmeyer, Stefanie 2 Homburg, Ale Jan 2 Krauskopf, Bernd 2 Lee, Manseob 2 Lucarini, Valerio 2 Lucena, Rafael 2 Marie, Philippe 2 Osinga, Hinke Maria 2 Rios, Isabel Lugão 2 Rodrigues, Christian S. 2 Ruziboev, Marks 2 Saussol, Benoît 2 Senos, Laura 2 Solano, Javier 2 Takahasi, Hiroki 2 van Strien, Sebastian J. 2 Vilarinho, Helder 2 Wang, Lei 2 Yamamoto, Kenichiro 2 Yang, Xiaosong 1 Aimino, Romain 1 Aston, Philip J. 1 Aytaç, Hale 1 Azevedo, Davide 1 Backes, Lucas H. 1 Bahabadi, Alireza Zamani 1 Benedicks, Michael 1 Bilbao, Rafael A. 1 Bioni, Ricardo 1 Bortolotti, Ricardo T. 1 Branco, Mário J. J. 1 Brandão, P. A. 1 Broer, Henk W. 1 Bufetov, Aleksandr Igorevich 1 Burns, Keith 1 Caby, Theo 1 Carmona, Jean-Claude 1 Carvalho, Bernardo 1 Carvalho, Maria Leonor da Silva 1 Catalan, Thiago 1 Chekroun, Mickaël D. 1 Chen, Ercai 1 Chiang, Hsiao-Dong 1 Chung, Yong Moo 1 Climenhaga, Vaughn 1 Coelho, Vinicius 1 Comman, Henri ...and 164 more Authors all top 5 Cited in 64 Serials 24 Ergodic Theory and Dynamical Systems 12 Journal of Differential Equations 12 Proceedings of the American Mathematical Society 12 Discrete and Continuous Dynamical Systems 11 Dynamical Systems 10 Journal of Statistical Physics 10 Nonlinearity 9 Transactions of the American Mathematical Society 7 Communications in Mathematical Physics 7 Mathematische Zeitschrift 7 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 6 Stochastics and Dynamics 5 Advances in Mathematics 4 Physica D 4 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 4 Qualitative Theory of Dynamical Systems 4 Portugaliae Mathematica. Nova Série 4 Bulletin of the Brazilian Mathematical Society. New Series 3 Journal of Mathematical Analysis and Applications 3 Chaos, Solitons and Fractals 3 Annales Henri Poincaré 2 Communications in Algebra 2 Israel Journal of Mathematics 2 Annales de l’Institut Fourier 2 Michigan Mathematical Journal 2 Journal of Dynamics and Differential Equations 2 Chaos 2 Journal of the European Mathematical Society (JEMS) 2 Journal of Modern Dynamics 2 Science China. Mathematics 2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Bulletin of the Australian Mathematical Society 1 Journal of Mathematical Biology 1 Mathematical Notes 1 Rocky Mountain Journal of Mathematics 1 Mathematics of Computation 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Duke Mathematical Journal 1 Inventiones Mathematicae 1 Journal of the Korean Mathematical Society 1 Osaka Journal of Mathematics 1 Transactions of the Moscow Mathematical Society 1 Forum Mathematicum 1 International Journal of Algebra and Computation 1 Differential Geometry and its Applications 1 Geometric and Functional Analysis. GAFA 1 Bulletin of the American Mathematical Society. New Series 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Calculus of Variations and Partial Differential Equations 1 Complexity 1 Nonlinear Dynamics 1 Matematicheskie Trudy 1 Communications in Nonlinear Science and Numerical Simulation 1 Journal of Dynamical and Control Systems 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Advances in Difference Equations 1 Electronic Journal of Statistics 1 Groups, Complexity, Cryptology 1 Kyoto Journal of Mathematics 1 Sankhyā. Series A 1 Bulletin of Mathematical Sciences 1 Journal of Computational Dynamics 1 Journal de l’École Polytechnique – Mathématiques all top 5 Cited in 29 Fields 207 Dynamical systems and ergodic theory (37-XX) 31 Probability theory and stochastic processes (60-XX) 16 Ordinary differential equations (34-XX) 8 Measure and integration (28-XX) 6 Group theory and generalizations (20-XX) 5 General topology (54-XX) 5 Numerical analysis (65-XX) 4 Statistical mechanics, structure of matter (82-XX) 4 Geophysics (86-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Differential geometry (53-XX) 3 Statistics (62-XX) 3 Systems theory; control (93-XX) 2 Number theory (11-XX) 2 Operator theory (47-XX) 2 Fluid mechanics (76-XX) 2 Biology and other natural sciences (92-XX) 2 Information and communication theory, circuits (94-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Difference and functional equations (39-XX) 1 Integral transforms, operational calculus (44-XX) 1 Geometry (51-XX) 1 Manifolds and cell complexes (57-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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