Edit Profile (opens in new tab) Viana, Marcelo Co-Author Distance Author ID: viana.marcelo Published as: Viana, Marcelo; Viana, M. Homepage: http://w3.impa.br/~viana/ External Links: MGP · Wikidata · dblp · GND · IdRef Documents Indexed: 83 Publications since 1988, including 7 Books and 6 Additional arXiv Preprints 8 Contributions as Editor Co-Authors: 47 Co-Authors with 74 Joint Publications 906 Co-Co-Authors all top 5 Co-Authors 16 single-authored 11 Avila, Artur 9 Bonatti, Christian 9 Yang, Jiagang 5 Díaz, Lorenzo Justiniano 5 Wilkinson, Amie 4 Bochi, Jairo 4 de Souza, Paulo Ney 4 Luzzatto, Stefano 4 Sirakov, Boyan Slavchev 3 Araújo, Vítor 3 Oliveira, Krerley 3 Pacifico, Maria José 3 Palis, Jacob jun. 3 Santamaria, Jimmy 3 Ures, Raúl 2 Alves, José Ferreira 2 Baladi, Viviane 2 Benedicks, Michael 2 Bocker-Neto, Carlos 2 Bourguignon, Jean-Pierre 2 de Melo, Welington 2 Horita, Vanderlei 2 Jeltsch, Rolf 2 Pinto, Alberto Adrego 2 Pumariño, Antonio 2 Rovella, Alvaro 2 Yoccoz, Jean-Christophe 1 Alencar, Hilário 1 Chakraborty, Sankhadip 1 Dolgopyat, Dmitry 1 Eskin, Alex 1 Espinar, José María 1 Gan, Shaobo 1 Gómez-Mont, Xavier 1 Li, Ming 1 Liao, Gang 1 Malheiro, Elaís C. 1 Matheus, Carlos 1 Mora, Leonardo 1 Moreira, Carlos Gustavo Tamm de Araujo 1 Poletti, Mauricio 1 Pujals, Enrique Ramiro 1 Ramos, Vanessa 1 Rios, Isabel Lugão 1 Rocha, Jorge 1 Sánchez, Adriana 1 Tall, El Hadji Yaya 1 Varandas, Paulo all top 5 Serials 8 Ergodic Theory and Dynamical Systems 5 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 4 Inventiones Mathematicae 4 Annals of Mathematics. Second Series 3 Astérisque 2 Israel Journal of Mathematics 2 Nonlinearity 2 Acta Mathematica 2 Transactions of the American Mathematical Society 2 Discrete and Continuous Dynamical Systems 2 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 2 Journal of the European Mathematical Society (JEMS) 2 Portugaliae Mathematica. Nova Série 2 Cambridge Studies in Advanced Mathematics 2 CIM Series in Mathematical Sciences 1 Communications in Mathematical Physics 1 Journal of Statistical Physics 1 Russian Mathematical Surveys 1 The Mathematical Intelligencer 1 Advances in Mathematics 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Commentarii Mathematici Helvetici 1 Publications Mathématiques 1 Journal of the London Mathematical Society. Second Series 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Boletim da Sociedade Brasileira de Matemática. Nova Série 1 Documenta Mathematica 1 European Mathematical Society Newsletter 1 Revista Matemática Complutense 1 Annales Henri Poincaré 1 Stochastics and Dynamics 1 Encyclopaedia of Mathematical Sciences 1 Graduate Studies in Mathematics 1 Monografías del Instituto de Matemática y Ciencias Afines all top 5 Fields 83 Dynamical systems and ergodic theory (37-XX) 8 General and overarching topics; collections (00-XX) 5 Ordinary differential equations (34-XX) 5 Partial differential equations (35-XX) 3 History and biography (01-XX) 3 Algebraic geometry (14-XX) 3 Measure and integration (28-XX) 3 Probability theory and stochastic processes (60-XX) 2 Number theory (11-XX) 2 Group theory and generalizations (20-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Geophysics (86-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Commutative algebra (13-XX) 1 Category theory; homological algebra (18-XX) 1 Functions of a complex variable (30-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Functional analysis (46-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 74 Publications have been cited 2,374 times in 1,326 Documents Cited by ▼ Year ▼ Dynamics beyond uniform hyperbolicity. A global geometric and probabilistic perspective. Zbl 1060.37020 Bonatti, Christian; Díaz, Lorenzo J.; Viana, Marcelo 274 2005 SRB measures for partially hyperbolic systems whose central direction is mostly expanding. Zbl 0962.37012 Alves, José F.; Bonatti, Christian; Viana, Marcelo 175 2000 SRB measures for partially hyperbolic systems whose central direction is mostly contracting. Zbl 0996.37033 Bonatti, Christian; Viana, Marcelo 141 2000 Abundance of strange attractors. Zbl 0815.58016 Mora, Leonardo; Viana, Marcelo 140 1993 Lectures on Lyapunov exponents. Zbl 1309.37001 Viana, Marcelo 113 2014 Foundations of ergodic theory. Zbl 1369.37001 Viana, Marcelo; Oliveira, Krerley 105 2016 The Lyapunov exponents of generic volume-preserving and symplectic maps. Zbl 1101.37039 Bochi, Jairo; Viana, Marcelo 86 2005 Extremal Lyapunov exponents: an invariance principle and applications. Zbl 1196.37054 Avila, Artur; Viana, Marcelo 82 2010 Singular-hyperbolic attractors are chaotic. Zbl 1214.37010 Araujo, V.; Pacifico, M. J.; Pujals, E. R.; Viana, M. 70 2009 High dimension diffeomorphisms displaying infinitely many periodic attractors. Zbl 0817.58004 Palis, J.; Viana, M. 69 1994 Ergodic theory of interval exchange maps. Zbl 1112.37003 Viana, Marcelo 69 2006 Simplicity of Lyapunov spectra: proof of the Zorich-Kontsevich conjecture. Zbl 1143.37001 Avila, Artur; Viana, Marcelo 61 2007 Multidimensional nonhyperbolic attractors. Zbl 1037.37016 Viana, Marcelo 59 1997 Almost all cocycles over any hyperbolic system have nonvanishing Lyapunov exponents. Zbl 1173.37019 Viana, Marcelo 54 2008 What’s new on Lorenz strange attractors? Zbl 1052.37026 Viana, Marcelo 50 2000 Généricité d’exposants de Lyapunov non-nuls pour des produits déterministes de matrices. (Genericity of non-zero Lyapunov exponents for deterministic products of matrices). Zbl 1025.37018 Bonatti, Christian; Gómez-Mont, Xavier; Viana, Marcelo 50 2003 Existence, uniqueness and stability of equilibrium states for non-uniformly expanding maps. Zbl 1193.37009 Varandas, Paulo; Viana, Marcelo 45 2010 Statistical stability for robust classes of maps with non-uniform expansion. Zbl 1067.37034 Alves, José F.; Viana, Marcelo 45 2002 Lyapunov exponents with multiplicity 1 for deterministic products of matrices. Zbl 1087.37017 Bonatti, C.; Viana, M. 41 2004 The entropy conjecture for diffeomorphisms away from tangencies. Zbl 1325.37031 Liao, Gang; Viana, Marcelo; Yang, Jiagang 39 2013 Lorenz attractors with arbitrary expanding dimension. Zbl 0896.58043 Bonatti, Christian; Pumariño, António; Viana, Marcelo 34 1997 Physical measures and absolute continuity for one-dimensional center direction. Zbl 1417.37105 Viana, Marcelo; Yang, Jiagang 32 2013 Holonomy invariance: rough regularity and applications to Lyapunov exponents. Zbl 1348.37005 Avila, Artur; Santamaria, Jimmy; Viana, Marcelo 31 2013 Absolute continuity, Lyapunov exponents and rigidity. I: Geodesic flows. Zbl 1352.37084 Avila, Artur; Viana, Marcelo; Wilkinson, Amie 30 2015 Continuity of Lyapunov exponents for random two-dimensional matrices. Zbl 1379.37100 Bocker-Neto, Carlos; Viana, Marcelo 29 2017 Solution of the basin problem for Hénon-like attractors. Zbl 0967.37023 Benedicks, Michael; Viana, Marcelo 27 2001 Strong stochastic stability and rate of mixing for unimodal maps. Zbl 0868.58051 Baladi, Viviane; Viana, Marcelo 27 1996 Strange attractors in higher dimensions. Zbl 0784.58044 Viana, Marcelo 24 1993 Geometric and measure-theoretical structures of maps with mostly contracting center. Zbl 1359.37061 Dolgopyat, Dmitry; Viana, Marcelo; Yang, Jiagang 24 2016 Lyapunov exponents: how frequently are dynamical systems hyperbolic? Zbl 1147.37315 Bochi, Jairo; Viana, Marcelo 22 2004 Simplicity of Lyapunov spectra: a sufficient criterion. Zbl 1137.37001 Avila, Artur; Viana, Marcelo 21 2007 Thermodynamical formalism for robust classes of potentials and non-uniformly hyperbolic maps. Zbl 1154.37330 Oliveira, Krerley; Viana, Marcelo 21 2008 Strange attractors in saddle-node cycles: Prevalence and globality. Zbl 0865.58034 Díaz, L. J.; Rocha, J.; Viana, M. 21 1996 Random perturbations and statistical properties of Hénon-like maps. Zbl 1131.37033 Benedicks, Michael; Viana, Marcelo 19 2006 Dynamics: a probabilistic and geometric perspective. Zbl 0911.58013 Viana, Marcelo 18 1998 On the continuity of Hausdorff dimension and limit capacity for horseshoes. Zbl 0661.58023 Palis, J.; Viana, M. 16 1988 Measure-theoretical properties of center foliations. Zbl 1384.37043 Viana, Marcelo; Yang, Jiagang 14 2017 Uniform (projective) hyperbolicity or no hyperbolicity: a dichotomy for generic conservative maps. Zbl 1125.37308 Bochi, Jairo; Viana, Marcelo 14 2002 Positive Lyapunov exponents for Lorenz-like families with criticalities. Zbl 0944.37025 Luzzatto, Stefano; Viana, Marcelo 13 2000 Lyapunov exponents of linear cocycles over Markov shifts. Zbl 1371.37052 Malheiro, Elaís C.; Viana, Marcelo 13 2015 Equilibrium states for hyperbolic potentials. Zbl 1361.37035 Ramos, Vanessa; Viana, Marcelo 12 2017 Hausdorff dimension for non-hyperbolic repellers. II: DA diffeomorphisms. Zbl 1097.37019 Horita, Vanderlei; Viana, Marcelo 11 2005 Continuity of Lyapunov exponents in the \(C^0\) topology. Zbl 1421.37023 Viana, Marcelo; Yang, Jiagang 10 2019 Discontinuity of the Hausdorff dimension of hyperbolic sets. Zbl 0852.54038 Bonatti, Christian; Díaz, Lorenzo Justiniano; Viana, Marcelo 9 1995 Existence and uniqueness of maximizing measures for robust classes of local diffeomorphisms. Zbl 1105.37021 Oliveira, Krerley; Viana, Marcelo 9 2006 Abundance of stable ergodicity. Zbl 1052.37023 Bonatti, Christian; Matheus, Carlos; Viana, Marcelo; Wilkinson, Amie 8 2004 Cocycles over partially hyperbolic maps. Zbl 1350.37004 Avila, Artur; Santamaria, Jimmy; Viana, Marcelo; Wilkinson, Amie 8 2013 Invariant measures for interval maps with critical points and singularities. Zbl 1184.37032 Araújo, Vítor; Luzzatto, Stefano; Viana, Marcelo 7 2009 (Dis)continuity of Lyapunov exponents. Zbl 1442.37048 Viana, Marcelo 7 2020 Infinite-modal maps with global chaotic behavior. Zbl 0916.58029 Pacifico, M. J.; Rovella, A.; Viana, M. 6 1999 Homoclinic tangencies and fractal invariants in arbitrary dimension. Zbl 1192.37032 Moreira, Carlos Gustavo; Palis, Jacob; Viana, Marcelo 6 2001 Moduli of continuity for the Lyapunov exponents of random \(\mathrm{GL}(2)\)-cocycles. Zbl 1437.37064 Tall, El Hadji Yaya; Viana, Marcelo 6 2020 Dynamical systems: moving into the next century. Zbl 1037.37500 Viana, Marcelo 5 2001 Exclusions of parameter values in Hénon-type systems. Zbl 1054.37019 Luzzatto, S.; Viana, M. 5 2003 Absolute continuity, Lyapunov exponents, and rigidity. II: Systems with compact center leaves. Zbl 1493.37022 Avila, A.; Viana, Marcelo; Wilkinson, A. 5 2022 Global attractors and bifurcations. Zbl 0849.58045 Viana, Marcelo 4 1996 Hausdorff dimension of non-hyperbolic repellers. I: Maps with holes. Zbl 0991.37012 Horita, Vanderlei; Viana, Marcelo 4 2001 Maximal entropy measures of diffeomorphisms of circle fiber bundles. Zbl 1478.37040 Ures, Raúl; Viana, Marcelo; Yang, Jiagang 4 2021 Simple Lyapunov spectrum for certain linear cocycles over partially hyperbolic maps. Zbl 1500.37027 Poletti, Mauricio; Viana, Marcelo 4 2019 Discontinuity of Hausdorff dimension and limit capacity on arcs of diffeomorphisms. Zbl 0668.58039 Diaz, Lorenzo J.; Viana, Marcelo 3 1989 Dynamics in the moduli space of Abelian differentials. Zbl 1087.14014 Avila, Artur; Viana, Marcelo 3 2005 Lyapunov exponents of Teichmüller flows. Zbl 1148.37021 Viana, Marcelo 2 2007 Homoclinic bifurcations and persistence of nonuniformly hyperbolic attractors. Zbl 0844.58049 Viana, Marcelo 2 1995 Lorenz attractors with arbitrary expanding dimension. Zbl 0976.37014 Bonatti, Ch.; Pumariño, A.; Viana, M. 2 2000 Lecture notes on attractors and physical measures. A paper from the 12th Escuela Latinoamericana de Matemáticas (XII-ELAM) held in Lima, Peru, June 28–July 3, 1999. Zbl 1160.37336 Viana, Marcelo 2 1999 Cocycles over partially hyperbolic maps. Zbl 1417.37004 Avila, Artur; Santamaria, Jimmy; Viana, Marcelo; Wilkinson, Amie 2 2013 Stable accessibility with \(2\) dimensional center. Zbl 1472.37033 Avila, Artur; Viana, Marcelo 2 2020 Proceedings of the international congress of mathematicians 2018, ICM 2018, Rio de Janeiro, Brazil, August 1–9, 2018. Volume III. Invited lectures. Zbl 1437.00045 2 2018 Homoclinic bifurcations and strange attractors. Zbl 0831.58037 Viana, Marcelo 1 1995 The intermittency route to chaotic dynamics. Zbl 1198.37043 Díaz, Lorenzo J.; Rios, Isabel L.; Viana, Marcelo 1 2001 Pisa lectures on Lyapunov exponents. Zbl 1070.37014 Bochi, Jairo; Viana, Marcelo 1 2003 Mathematics of energy and climate change. International conference and advanced school Planet Earth, Lisbon, Portugal, March 21–28, 2013. Zbl 1320.00045 1 2015 Proceedings of the international congress of mathematicians, ICM 2018, Rio de Janeiro, Brazil, August 1–9, 2018. Volume II. Invited lectures. Zbl 1437.00044 1 2018 Partially volume expanding diffeomorphisms. Zbl 1461.37035 Gan, Shaobo; Li, Ming; Viana, Marcelo; Yang, Jiagang 1 2021 Absolute continuity, Lyapunov exponents, and rigidity. II: Systems with compact center leaves. Zbl 1493.37022 Avila, A.; Viana, Marcelo; Wilkinson, A. 5 2022 Maximal entropy measures of diffeomorphisms of circle fiber bundles. Zbl 1478.37040 Ures, Raúl; Viana, Marcelo; Yang, Jiagang 4 2021 Partially volume expanding diffeomorphisms. Zbl 1461.37035 Gan, Shaobo; Li, Ming; Viana, Marcelo; Yang, Jiagang 1 2021 (Dis)continuity of Lyapunov exponents. Zbl 1442.37048 Viana, Marcelo 7 2020 Moduli of continuity for the Lyapunov exponents of random \(\mathrm{GL}(2)\)-cocycles. Zbl 1437.37064 Tall, El Hadji Yaya; Viana, Marcelo 6 2020 Stable accessibility with \(2\) dimensional center. Zbl 1472.37033 Avila, Artur; Viana, Marcelo 2 2020 Continuity of Lyapunov exponents in the \(C^0\) topology. Zbl 1421.37023 Viana, Marcelo; Yang, Jiagang 10 2019 Simple Lyapunov spectrum for certain linear cocycles over partially hyperbolic maps. Zbl 1500.37027 Poletti, Mauricio; Viana, Marcelo 4 2019 Proceedings of the international congress of mathematicians 2018, ICM 2018, Rio de Janeiro, Brazil, August 1–9, 2018. Volume III. Invited lectures. Zbl 1437.00045 2 2018 Proceedings of the international congress of mathematicians, ICM 2018, Rio de Janeiro, Brazil, August 1–9, 2018. Volume II. Invited lectures. Zbl 1437.00044 1 2018 Continuity of Lyapunov exponents for random two-dimensional matrices. Zbl 1379.37100 Bocker-Neto, Carlos; Viana, Marcelo 29 2017 Measure-theoretical properties of center foliations. Zbl 1384.37043 Viana, Marcelo; Yang, Jiagang 14 2017 Equilibrium states for hyperbolic potentials. Zbl 1361.37035 Ramos, Vanessa; Viana, Marcelo 12 2017 Foundations of ergodic theory. Zbl 1369.37001 Viana, Marcelo; Oliveira, Krerley 105 2016 Geometric and measure-theoretical structures of maps with mostly contracting center. Zbl 1359.37061 Dolgopyat, Dmitry; Viana, Marcelo; Yang, Jiagang 24 2016 Absolute continuity, Lyapunov exponents and rigidity. I: Geodesic flows. Zbl 1352.37084 Avila, Artur; Viana, Marcelo; Wilkinson, Amie 30 2015 Lyapunov exponents of linear cocycles over Markov shifts. Zbl 1371.37052 Malheiro, Elaís C.; Viana, Marcelo 13 2015 Mathematics of energy and climate change. International conference and advanced school Planet Earth, Lisbon, Portugal, March 21–28, 2013. Zbl 1320.00045 1 2015 Lectures on Lyapunov exponents. Zbl 1309.37001 Viana, Marcelo 113 2014 The entropy conjecture for diffeomorphisms away from tangencies. Zbl 1325.37031 Liao, Gang; Viana, Marcelo; Yang, Jiagang 39 2013 Physical measures and absolute continuity for one-dimensional center direction. Zbl 1417.37105 Viana, Marcelo; Yang, Jiagang 32 2013 Holonomy invariance: rough regularity and applications to Lyapunov exponents. Zbl 1348.37005 Avila, Artur; Santamaria, Jimmy; Viana, Marcelo 31 2013 Cocycles over partially hyperbolic maps. Zbl 1350.37004 Avila, Artur; Santamaria, Jimmy; Viana, Marcelo; Wilkinson, Amie 8 2013 Cocycles over partially hyperbolic maps. Zbl 1417.37004 Avila, Artur; Santamaria, Jimmy; Viana, Marcelo; Wilkinson, Amie 2 2013 Extremal Lyapunov exponents: an invariance principle and applications. Zbl 1196.37054 Avila, Artur; Viana, Marcelo 82 2010 Existence, uniqueness and stability of equilibrium states for non-uniformly expanding maps. Zbl 1193.37009 Varandas, Paulo; Viana, Marcelo 45 2010 Singular-hyperbolic attractors are chaotic. Zbl 1214.37010 Araujo, V.; Pacifico, M. J.; Pujals, E. R.; Viana, M. 70 2009 Invariant measures for interval maps with critical points and singularities. Zbl 1184.37032 Araújo, Vítor; Luzzatto, Stefano; Viana, Marcelo 7 2009 Almost all cocycles over any hyperbolic system have nonvanishing Lyapunov exponents. Zbl 1173.37019 Viana, Marcelo 54 2008 Thermodynamical formalism for robust classes of potentials and non-uniformly hyperbolic maps. Zbl 1154.37330 Oliveira, Krerley; Viana, Marcelo 21 2008 Simplicity of Lyapunov spectra: proof of the Zorich-Kontsevich conjecture. Zbl 1143.37001 Avila, Artur; Viana, Marcelo 61 2007 Simplicity of Lyapunov spectra: a sufficient criterion. Zbl 1137.37001 Avila, Artur; Viana, Marcelo 21 2007 Lyapunov exponents of Teichmüller flows. Zbl 1148.37021 Viana, Marcelo 2 2007 Ergodic theory of interval exchange maps. Zbl 1112.37003 Viana, Marcelo 69 2006 Random perturbations and statistical properties of Hénon-like maps. Zbl 1131.37033 Benedicks, Michael; Viana, Marcelo 19 2006 Existence and uniqueness of maximizing measures for robust classes of local diffeomorphisms. Zbl 1105.37021 Oliveira, Krerley; Viana, Marcelo 9 2006 Dynamics beyond uniform hyperbolicity. A global geometric and probabilistic perspective. Zbl 1060.37020 Bonatti, Christian; Díaz, Lorenzo J.; Viana, Marcelo 274 2005 The Lyapunov exponents of generic volume-preserving and symplectic maps. Zbl 1101.37039 Bochi, Jairo; Viana, Marcelo 86 2005 Hausdorff dimension for non-hyperbolic repellers. II: DA diffeomorphisms. Zbl 1097.37019 Horita, Vanderlei; Viana, Marcelo 11 2005 Dynamics in the moduli space of Abelian differentials. Zbl 1087.14014 Avila, Artur; Viana, Marcelo 3 2005 Lyapunov exponents with multiplicity 1 for deterministic products of matrices. Zbl 1087.37017 Bonatti, C.; Viana, M. 41 2004 Lyapunov exponents: how frequently are dynamical systems hyperbolic? Zbl 1147.37315 Bochi, Jairo; Viana, Marcelo 22 2004 Abundance of stable ergodicity. Zbl 1052.37023 Bonatti, Christian; Matheus, Carlos; Viana, Marcelo; Wilkinson, Amie 8 2004 Généricité d’exposants de Lyapunov non-nuls pour des produits déterministes de matrices. (Genericity of non-zero Lyapunov exponents for deterministic products of matrices). Zbl 1025.37018 Bonatti, Christian; Gómez-Mont, Xavier; Viana, Marcelo 50 2003 Exclusions of parameter values in Hénon-type systems. Zbl 1054.37019 Luzzatto, S.; Viana, M. 5 2003 Pisa lectures on Lyapunov exponents. Zbl 1070.37014 Bochi, Jairo; Viana, Marcelo 1 2003 Statistical stability for robust classes of maps with non-uniform expansion. Zbl 1067.37034 Alves, José F.; Viana, Marcelo 45 2002 Uniform (projective) hyperbolicity or no hyperbolicity: a dichotomy for generic conservative maps. Zbl 1125.37308 Bochi, Jairo; Viana, Marcelo 14 2002 Solution of the basin problem for Hénon-like attractors. Zbl 0967.37023 Benedicks, Michael; Viana, Marcelo 27 2001 Homoclinic tangencies and fractal invariants in arbitrary dimension. Zbl 1192.37032 Moreira, Carlos Gustavo; Palis, Jacob; Viana, Marcelo 6 2001 Dynamical systems: moving into the next century. Zbl 1037.37500 Viana, Marcelo 5 2001 Hausdorff dimension of non-hyperbolic repellers. I: Maps with holes. Zbl 0991.37012 Horita, Vanderlei; Viana, Marcelo 4 2001 The intermittency route to chaotic dynamics. Zbl 1198.37043 Díaz, Lorenzo J.; Rios, Isabel L.; Viana, Marcelo 1 2001 SRB measures for partially hyperbolic systems whose central direction is mostly expanding. Zbl 0962.37012 Alves, José F.; Bonatti, Christian; Viana, Marcelo 175 2000 SRB measures for partially hyperbolic systems whose central direction is mostly contracting. Zbl 0996.37033 Bonatti, Christian; Viana, Marcelo 141 2000 What’s new on Lorenz strange attractors? Zbl 1052.37026 Viana, Marcelo 50 2000 Positive Lyapunov exponents for Lorenz-like families with criticalities. Zbl 0944.37025 Luzzatto, Stefano; Viana, Marcelo 13 2000 Lorenz attractors with arbitrary expanding dimension. Zbl 0976.37014 Bonatti, Ch.; Pumariño, A.; Viana, M. 2 2000 Infinite-modal maps with global chaotic behavior. Zbl 0916.58029 Pacifico, M. J.; Rovella, A.; Viana, M. 6 1999 Lecture notes on attractors and physical measures. A paper from the 12th Escuela Latinoamericana de Matemáticas (XII-ELAM) held in Lima, Peru, June 28–July 3, 1999. Zbl 1160.37336 Viana, Marcelo 2 1999 Dynamics: a probabilistic and geometric perspective. Zbl 0911.58013 Viana, Marcelo 18 1998 Multidimensional nonhyperbolic attractors. Zbl 1037.37016 Viana, Marcelo 59 1997 Lorenz attractors with arbitrary expanding dimension. Zbl 0896.58043 Bonatti, Christian; Pumariño, António; Viana, Marcelo 34 1997 Strong stochastic stability and rate of mixing for unimodal maps. Zbl 0868.58051 Baladi, Viviane; Viana, Marcelo 27 1996 Strange attractors in saddle-node cycles: Prevalence and globality. Zbl 0865.58034 Díaz, L. J.; Rocha, J.; Viana, M. 21 1996 Global attractors and bifurcations. Zbl 0849.58045 Viana, Marcelo 4 1996 Discontinuity of the Hausdorff dimension of hyperbolic sets. Zbl 0852.54038 Bonatti, Christian; Díaz, Lorenzo Justiniano; Viana, Marcelo 9 1995 Homoclinic bifurcations and persistence of nonuniformly hyperbolic attractors. Zbl 0844.58049 Viana, Marcelo 2 1995 Homoclinic bifurcations and strange attractors. Zbl 0831.58037 Viana, Marcelo 1 1995 High dimension diffeomorphisms displaying infinitely many periodic attractors. Zbl 0817.58004 Palis, J.; Viana, M. 69 1994 Abundance of strange attractors. Zbl 0815.58016 Mora, Leonardo; Viana, Marcelo 140 1993 Strange attractors in higher dimensions. Zbl 0784.58044 Viana, Marcelo 24 1993 Discontinuity of Hausdorff dimension and limit capacity on arcs of diffeomorphisms. Zbl 0668.58039 Diaz, Lorenzo J.; Viana, Marcelo 3 1989 On the continuity of Hausdorff dimension and limit capacity for horseshoes. Zbl 0661.58023 Palis, J.; Viana, M. 16 1988 all cited Publications top 5 cited Publications all top 5 Cited by 1,104 Authors 30 Araújo, Vítor 30 Viana, Marcelo 28 Varandas, Paulo 27 Alves, José Ferreira 27 Yang, Jiagang 26 Bonatti, Christian 26 Díaz, Lorenzo Justiniano 24 Avila, Artur 23 Bessa, Mário 21 Luzzatto, Stefano 21 Morales Rojas, Carlos Arnoldo 20 Cao, Yongluo 20 Crovisier, Sylvain 20 Potrie, Rafael 20 Yang, Dawei 18 Gelfert, Katrin Grit 18 Gonchenko, Sergey V. 15 Bochi, Jairo 15 Melbourne, Ian 15 Pacifico, Maria José 15 Tahzibi, Ali 14 Backes, Lucas H. 14 Galatolo, Stefano 14 Turaev, Dmitry V. 13 Barrientos, Pablo G. 12 Duarte, Pedro 12 Pujals, Enrique Ramiro 12 Ures, Raúl 11 Gorodetskii, Anton Semenovich 11 Rodrigues, Alexandre A. P. 11 Rodríguez, José Angel 11 Vaienti, Sandro 10 Climenhaga, Vaughn 10 Gan, Shaobo 10 Oliveira, Krerley 10 Pesin, Yakov Borisovich 10 Pinheiro, Vilton 10 Rodriguez-Hertz, Federico 10 Tian, Xueting 9 Barreira, Luis Manuel 9 Blumenthal, Alex 9 Fisher, Todd L. 9 Gogolev, Andrey 9 Krauskopf, Bernd 9 Matheus, Carlos 9 Osinga, Hinke Maria 9 Poletti, Mauricio 9 Rodriguez Hertz, Jana 9 Sadovskaya, Victoria 9 Zhang, Jinhua 8 Arbieto, Alexander 8 Dolgopyat, Dmitry 8 Forni, Giovanni 8 Homburg, Ale Jan 8 Kiriki, Shin 8 Klein, Silvius 8 Nakano, Yushi 8 Pumariño, Antonio 8 Shinohara, Katsutoshi 8 Wang, Qiudong 8 Yoccoz, Jean-Christophe 8 Young, Lai-Sang 8 Zhu, Yujun 7 Carrasco, Pablo D. 7 Castro, Armando 7 Dragičević, Davor 7 Freitas, Jorge Milhazes 7 Ibáñez, Santiago 7 Lopes, Artur Oscar 7 Mi, Zeya 7 Rams, Michał 7 Shi, Yi 7 Soma, Teruhiko 7 Takahasi, Hiroki 7 Wilkinson, Amie 6 Alvarez, Sébastien 6 Berger, Pierre 6 Buzzi, Jérôme 6 Catsigeras, Eleonora 6 Fakhari, Abbas 6 González-Tokman, Cecilia 6 Hu, Huyi 6 Kalinin, Boris 6 Kanigowski, Adam 6 Kazakov, Alexey O. 6 Liao, Gang 6 Park, Kiho 6 Pérez, Sebastian A. 6 Raibekas, Artem 6 Salgado, Luciana 6 Sambarino, Martín 6 San Martín Rebolledo, Bernardo 6 Shilnikov, Leonid Pavlovich 6 Sun, Wenxiang 6 Valls Anglés, Cláudia 6 Vásquez, Carlos H. 6 Vigil, Enrique 6 Vilarinho, Helder 6 Xu, Disheng 6 Yang, Fan ...and 1,004 more Authors all top 5 Cited in 217 Serials 155 Ergodic Theory and Dynamical Systems 72 Discrete and Continuous Dynamical Systems 62 Communications in Mathematical Physics 56 Nonlinearity 47 Journal of Differential Equations 40 Journal of Statistical Physics 40 Transactions of the American Mathematical Society 40 Dynamical Systems 36 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 29 Israel Journal of Mathematics 28 Advances in Mathematics 26 Mathematische Zeitschrift 23 Journal of Dynamics and Differential Equations 22 Proceedings of the American Mathematical Society 21 Journal of Modern Dynamics 20 Inventiones Mathematicae 20 Journal of the European Mathematical Society (JEMS) 19 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 19 Stochastics and Dynamics 18 Chaos, Solitons and Fractals 17 Bulletin of the Brazilian Mathematical Society. New Series 15 Physica D 15 Chaos 14 Qualitative Theory of Dynamical Systems 13 Regular and Chaotic Dynamics 11 Annales de l’Institut Fourier 9 Publications Mathématiques 8 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 8 Geometric and Functional Analysis. GAFA 8 Annals of Mathematics. Second Series 8 Acta Mathematica Sinica. English Series 8 Proceedings of the Steklov Institute of Mathematics 7 Proceedings of the London Mathematical Society. Third Series 7 Journal of Economic Dynamics & Control 7 Journal of Dynamical and Control Systems 7 Annales Henri Poincaré 7 SIAM Journal on Applied Dynamical Systems 6 Journal of Mathematical Analysis and Applications 6 Duke Mathematical Journal 6 Geometriae Dedicata 6 Journal of the London Mathematical Society. Second Series 6 Monatshefte für Mathematik 6 Discrete and Continuous Dynamical Systems. Series B 6 Portugaliae Mathematica. Nova Série 6 Journal of the Institute of Mathematics of Jussieu 5 Acta Mathematica 5 Bulletin de la Société Mathématique de France 5 Functional Analysis and its Applications 5 Mathematische Annalen 5 Topology and its Applications 5 Boletim da Sociedade Brasileira de Matemática. Nova Série 5 Experimental Mathematics 4 Journal of Computational Physics 4 Journal of Mathematical Physics 4 Commentarii Mathematici Helvetici 4 Journal of Functional Analysis 4 Journal of the Korean Mathematical Society 4 Memoirs of the American Mathematical Society 4 Journal of the American Mathematical Society 4 Bulletin of the American Mathematical Society. New Series 4 Journal of Difference Equations and Applications 4 Nonlinear Dynamics 4 Geometry & Topology 4 Communications in Nonlinear Science and Numerical Simulation 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Science China. Mathematics 4 Journal de l’École Polytechnique – Mathématiques 3 Communications on Pure and Applied Mathematics 3 Journal für die Reine und Angewandte Mathematik 3 Topological Methods in Nonlinear Analysis 3 Doklady Mathematics 3 Discrete Dynamics in Nature and Society 3 Differential Equations 3 Groups, Geometry, and Dynamics 3 Discrete and Continuous Dynamical Systems. Series S 2 Computers & Mathematics with Applications 2 Journal d’Analyse Mathématique 2 Letters in Mathematical Physics 2 Applied Mathematics and Computation 2 Archiv der Mathematik 2 Bulletin of the London Mathematical Society 2 Compositio Mathematica 2 Dissertationes Mathematicae 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 SIAM Journal on Control and Optimization 2 Tokyo Journal of Mathematics 2 Transactions of the Moscow Mathematical Society 2 Advances in Applied Mathematics 2 Chinese Annals of Mathematics. Series B 2 Applied Mathematics Letters 2 Indagationes Mathematicae. New Series 2 Journal of Nonlinear Science 2 Applied Categorical Structures 2 Annales Academiae Scientiarum Fennicae. Mathematica 2 Communications in Contemporary Mathematics 2 Foundations of Computational Mathematics 2 Moscow Mathematical Journal 2 Communications on Pure and Applied Analysis 2 Journal of Dynamical Systems and Geometric Theories 2 Journal of Computational Dynamics ...and 117 more Serials all top 5 Cited in 54 Fields 1,238 Dynamical systems and ergodic theory (37-XX) 94 Ordinary differential equations (34-XX) 78 Measure and integration (28-XX) 74 Probability theory and stochastic processes (60-XX) 37 Manifolds and cell complexes (57-XX) 34 Several complex variables and analytic spaces (32-XX) 29 Statistical mechanics, structure of matter (82-XX) 26 Differential geometry (53-XX) 25 Functions of a complex variable (30-XX) 25 Operator theory (47-XX) 22 Number theory (11-XX) 20 Partial differential equations (35-XX) 20 Difference and functional equations (39-XX) 16 General topology (54-XX) 15 Numerical analysis (65-XX) 15 Mechanics of particles and systems (70-XX) 15 Systems theory; control (93-XX) 13 Linear and multilinear algebra; matrix theory (15-XX) 13 Group theory and generalizations (20-XX) 13 Quantum theory (81-XX) 13 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 13 Biology and other natural sciences (92-XX) 12 Global analysis, analysis on manifolds (58-XX) 11 Fluid mechanics (76-XX) 10 Algebraic geometry (14-XX) 10 Topological groups, Lie groups (22-XX) 9 Combinatorics (05-XX) 8 Real functions (26-XX) 7 Computer science (68-XX) 6 Statistics (62-XX) 6 Geophysics (86-XX) 6 Information and communication theory, circuits (94-XX) 5 Functional analysis (46-XX) 4 Mathematical logic and foundations (03-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 3 History and biography (01-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Abstract harmonic analysis (43-XX) 3 Convex and discrete geometry (52-XX) 3 Optics, electromagnetic theory (78-XX) 2 General and overarching topics; collections (00-XX) 2 Commutative algebra (13-XX) 2 Algebraic topology (55-XX) 2 Mechanics of deformable solids (74-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 General algebraic systems (08-XX) 1 Associative rings and algebras (16-XX) 1 Category theory; homological algebra (18-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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