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Araújo, Vítor

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Author ID: araujo.vitor Recent zbMATH articles by "Araújo, Vítor"
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

Publications by Year

Citations contained in zbMATH

38 Publications have been cited 340 times in 219 Documents Cited by Year
Singular-hyperbolic attractors are chaotic. Zbl 1214.37010
Araujo, V.; Pacifico, M. J.; Pujals, E. R.; Viana, M.
47
2009
Three-dimensional flows. Zbl 1202.37002
Araújo, Vítor; Pacifico, Maria José
36
2010
On the uniform hyperbolicity of some nonuniformly hyperbolic systems. Zbl 1014.37018
Alves, José F.; Araújo, Vítor; Saussol, Benoît
23
2003
Random perturbations of nonuniformly expanding maps. Zbl 1043.37016
Alves, José Ferreira; Araújo, Vítor
22
2003
Large deviations for non-uniformly expanding maps. Zbl 1112.37025
Araújo, 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 1367.37033
Araújo, Vitor; Melbourne, Ian
14
2016
Rapid mixing for the Lorenz attractor and statistical limit laws for their time-1 maps. Zbl 1356.37002
Araújo, V.; Melbourne, I.; Varandas, P.
14
2015
Attractors and time averages for random maps. Zbl 0974.37036
Araújo, Vítor
14
2000
Decay of correlations for maps with uniformly contracting fibers and logarithm law for singular hyperbolic attractors. Zbl 1337.37019
Araújo, Vitor; Galatolo, Stefano; Pacifico, Maria José
13
2014
Robust exponential decay of correlations for singular-flows. Zbl 1314.37010
Araújo, Vítor; Varandas, Paulo
13
2012
Large deviations bound for semiflows over a nonuniformly expanding base. Zbl 1125.37016
Araújo, Vítor
11
2007
Stochastic stability at the boundary of expanding maps. Zbl 1079.37018
Araújo, Vítor; Tahzibi, Ali
11
2005
Existence and smoothness of the stable foliation for sectional hyperbolic attractors. Zbl 1378.37070
Araújo, Vitor; Melbourne, Ian
10
2017
Open sets of Axiom A flows with exponentially mixing attractors. Zbl 1359.37066
Araújo, V.; Butterley, O.; Varandas, P.
7
2016
Stochastic stability of non-uniformly hyperbolic diffeomorphisms. Zbl 1210.37022
Alves, José F.; Araúco, Vítor; Vásquez, Carlos H.
7
2007
Dominated splittings for flows with singularities. Zbl 1290.37012
Araujo, Vitor; Arbieto, Alexander; Salgado, Luciana
6
2013
Invariant measures for interval maps with critical points and singularities. Zbl 1184.37032
Araújo, Vítor; Luzzatto, Stefano; Viana, Marcelo
6
2009
Physical measures for infinite-modal maps. Zbl 1173.37015
Araújo, Vítor; Pacifico, Maria José
6
2009
On the volume of singular-hyperbolic sets. Zbl 1226.37014
Alves, J. F.; Araújo, V.; Pacifico, M. J.; Pinheiro, V.
6
2007
Infinitesimal Lyapunov functions for singular flows. Zbl 1408.37056
Araujo, Vitor; Salgado, Luciana
5
2013
A large deviations bound for the Teichmüller flow on the moduli space of abelian differentials. Zbl 1223.37027
Araújo, Vítor; Bufetov, Alexander I.
5
2011
Semicontinuity of entropy, existence of equilibrium states and continuity of physical measures. Zbl 1120.37016
Araújo, Vítor
5
2007
Hyperbolic times: frequency versus integrability. Zbl 1069.37020
Alves, José F.; Araújo, Vítor
5
2004
Finiteness results for subgroups of finite extensions. Zbl 1316.20025
Araújo, Vítor; Silva, Pedro V.; Sykiotis, Mihalis
4
2015
Multidimensional Rovella-like attractors. Zbl 1251.37043
Araújo, V.; Castro, A.; Pacifico, M. J.; Pinheiro, V.
4
2011
Dominated splitting and zero volume for incompressible three flows. Zbl 1223.37036
Araujo, Vitor; Bessa, Mário
4
2008
On Hölder-continuity of Oseledets subspaces. Zbl 1362.37010
Araújo, Vítor; Bufetov, Alexander I.; Filip, Simion
3
2016
Physical measures at the boundary of hyperbolic maps. Zbl 1161.37029
Araújo, Vítor; Tahzibi, Ali
3
2008
Infinitely many stochastically stable attractors. Zbl 1004.37006
Araújo, Vítor
3
2001
Geometric characterizations of virtually free groups. Zbl 1368.20053
Araújo, Vítor; Silva, Pedro V.
2
2017
Dominated splitting for exterior powers and singular hyperbolicity. Zbl 1359.37072
Araujo, Vitor; Salgado, Luciana
2
2015
Statistical properties of Lorenz-like flows, recent developments and perspectives. Zbl 1302.37022
Araujo, Vitor; Galatolo, Stefano; Pacifico, Maria José
2
2014
Absolutely continuous invariant measures for random non-uniformly expanding maps. Zbl 1328.37032
Araujo, Vitor; Solano, Javier
2
2014
Upper large deviations bound for singular-hyperbolic attracting sets. Zbl 07062570
Araujo, Vitor; Souza, Andressa; Trindade, Edvan
1
2019
Mixing properties and statistical limit theorems for singular hyperbolic flows without a smooth stable foliation. Zbl 1442.37019
Araújo, V.; Melbourne, I.
1
2019
Erratum to: “Open sets of axiom A flows with exponentially mixing attractors”. Zbl 1401.37035
Araújo, Vitor; Butterley, Oliver; Varandas, Paulo
1
2018
Decay of correlations and laws of rare events for transitive random maps. Zbl 1377.37015
Araújo, 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 1151.37022
Araújo, Vítor; Pacífico, Maria José
1
2007
Upper large deviations bound for singular-hyperbolic attracting sets. Zbl 07062570
Araujo, Vitor; Souza, Andressa; Trindade, Edvan
1
2019
Mixing properties and statistical limit theorems for singular hyperbolic flows without a smooth stable foliation. Zbl 1442.37019
Araújo, V.; Melbourne, I.
1
2019
Erratum to: “Open sets of axiom A flows with exponentially mixing attractors”. Zbl 1401.37035
Araújo, Vitor; Butterley, Oliver; Varandas, Paulo
1
2018
Existence and smoothness of the stable foliation for sectional hyperbolic attractors. Zbl 1378.37070
Araújo, Vitor; Melbourne, Ian
10
2017
Geometric characterizations of virtually free groups. Zbl 1368.20053
Araújo, Vítor; Silva, Pedro V.
2
2017
Decay of correlations and laws of rare events for transitive random maps. Zbl 1377.37015
Araújo, 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 1367.37033
Araújo, Vitor; Melbourne, Ian
14
2016
Open sets of Axiom A flows with exponentially mixing attractors. Zbl 1359.37066
Araújo, V.; Butterley, O.; Varandas, P.
7
2016
On Hölder-continuity of Oseledets subspaces. Zbl 1362.37010
Araújo, Vítor; Bufetov, Alexander I.; Filip, Simion
3
2016
Rapid mixing for the Lorenz attractor and statistical limit laws for their time-1 maps. Zbl 1356.37002
Araújo, V.; Melbourne, I.; Varandas, P.
14
2015
Finiteness results for subgroups of finite extensions. Zbl 1316.20025
Araújo, Vítor; Silva, Pedro V.; Sykiotis, Mihalis
4
2015
Dominated splitting for exterior powers and singular hyperbolicity. Zbl 1359.37072
Araujo, Vitor; Salgado, Luciana
2
2015
Decay of correlations for maps with uniformly contracting fibers and logarithm law for singular hyperbolic attractors. Zbl 1337.37019
Araújo, Vitor; Galatolo, Stefano; Pacifico, Maria José
13
2014
Statistical properties of Lorenz-like flows, recent developments and perspectives. Zbl 1302.37022
Araujo, Vitor; Galatolo, Stefano; Pacifico, Maria José
2
2014
Absolutely continuous invariant measures for random non-uniformly expanding maps. Zbl 1328.37032
Araujo, Vitor; Solano, Javier
2
2014
Dominated splittings for flows with singularities. Zbl 1290.37012
Araujo, Vitor; Arbieto, Alexander; Salgado, Luciana
6
2013
Infinitesimal Lyapunov functions for singular flows. Zbl 1408.37056
Araujo, Vitor; Salgado, Luciana
5
2013
Robust exponential decay of correlations for singular-flows. Zbl 1314.37010
Araújo, Vítor; Varandas, Paulo
13
2012
A large deviations bound for the Teichmüller flow on the moduli space of abelian differentials. Zbl 1223.37027
Araújo, Vítor; Bufetov, Alexander I.
5
2011
Multidimensional Rovella-like attractors. Zbl 1251.37043
Araújo, V.; Castro, A.; Pacifico, M. J.; Pinheiro, V.
4
2011
Three-dimensional flows. Zbl 1202.37002
Araújo, Vítor; Pacifico, Maria José
36
2010
Singular-hyperbolic attractors are chaotic. Zbl 1214.37010
Araujo, V.; Pacifico, M. J.; Pujals, E. R.; Viana, M.
47
2009
Invariant measures for interval maps with critical points and singularities. Zbl 1184.37032
Araújo, Vítor; Luzzatto, Stefano; Viana, Marcelo
6
2009
Physical measures for infinite-modal maps. Zbl 1173.37015
Araújo, Vítor; Pacifico, Maria José
6
2009
Dominated splitting and zero volume for incompressible three flows. Zbl 1223.37036
Araujo, Vitor; Bessa, Mário
4
2008
Physical measures at the boundary of hyperbolic maps. Zbl 1161.37029
Araújo, Vítor; Tahzibi, Ali
3
2008
Large deviations bound for semiflows over a nonuniformly expanding base. Zbl 1125.37016
Araújo, Vítor
11
2007
Stochastic stability of non-uniformly hyperbolic diffeomorphisms. Zbl 1210.37022
Alves, José F.; Araúco, Vítor; Vásquez, Carlos H.
7
2007
On the volume of singular-hyperbolic sets. Zbl 1226.37014
Alves, J. F.; Araújo, V.; Pacifico, M. J.; Pinheiro, V.
6
2007
Semicontinuity of entropy, existence of equilibrium states and continuity of physical measures. Zbl 1120.37016
Araújo, 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 1151.37022
Araújo, Vítor; Pacífico, Maria José
1
2007
Large deviations for non-uniformly expanding maps. Zbl 1112.37025
Araújo, V.; Pacifico, M. J.
20
2006
Stochastic stability at the boundary of expanding maps. Zbl 1079.37018
Araújo, Vítor; Tahzibi, Ali
11
2005
Hyperbolic times: frequency versus integrability. Zbl 1069.37020
Alves, José F.; Araújo, Vítor
5
2004
On the uniform hyperbolicity of some nonuniformly hyperbolic systems. Zbl 1014.37018
Alves, José F.; Araújo, Vítor; Saussol, Benoît
23
2003
Random perturbations of nonuniformly expanding maps. Zbl 1043.37016
Alves, José Ferreira; Araújo, Vítor
22
2003
Infinitely many stochastically stable attractors. Zbl 1004.37006
Araújo, Vítor
3
2001
Attractors and time averages for random maps. Zbl 0974.37036
Araújo, Vítor
14
2000
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

Citations by Year

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