Edit Profile (opens in new tab) Viana, Marcelo Compute Distance To: Compute 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: 76 Publications since 1988, including 7 Books 8 Contributions as Editor Co-Authors: 44 Co-Authors with 67 Joint Publications 766 Co-Co-Authors all top 5 Co-Authors 16 single-authored 10 Avila, Artur 9 Bonatti, Christian 7 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 Oliveira, Krerley 3 Pacifico, Maria José 3 Palis, Jacob jun. 3 Santamaria, Jimmy 2 Alves, José Ferreira 2 Araújo, Vítor 2 Baladi, Viviane 2 Benedicks, Michael 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 Bocker-Neto, Carlos 1 Dolgopyat, Dmitry 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 Tall, El Hadji Yaya 1 Ures, Raúl 1 Varandas, Paulo all top 5 Serials 7 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 80 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 72 Publications have been cited 1,999 times in 1,113 Documents Cited by ▼ Year ▼ Dynamics beyond uniform hyperbolicity. A global geometric and probabilistic perspective. Zbl 1060.37020Bonatti, Christian; Díaz, Lorenzo J.; Viana, Marcelo 231 2005 SRB measures for partially hyperbolic systems whose central direction is mostly expanding. Zbl 0962.37012Alves, José F.; Bonatti, Christian; Viana, Marcelo 156 2000 Abundance of strange attractors. Zbl 0815.58016Mora, Leonardo; Viana, Marcelo 133 1993 SRB measures for partially hyperbolic systems whose central direction is mostly contracting. Zbl 0996.37033Bonatti, Christian; Viana, Marcelo 121 2000 Lectures on Lyapunov exponents. Zbl 1309.37001Viana, Marcelo 78 2014 The Lyapunov exponents of generic volume-preserving and symplectic maps. Zbl 1101.37039Bochi, Jairo; Viana, Marcelo 77 2005 High dimension diffeomorphisms displaying infinitely many periodic attractors. Zbl 0817.58004Palis, J.; Viana, M. 63 1994 Extremal Lyapunov exponents: an invariance principle and applications. Zbl 1196.37054Avila, Artur; Viana, Marcelo 63 2010 Singular-hyperbolic attractors are chaotic. Zbl 1214.37010Araujo, V.; Pacifico, M. J.; Pujals, E. R.; Viana, M. 62 2009 Ergodic theory of interval exchange maps. Zbl 1112.37003Viana, Marcelo 60 2006 Foundations of ergodic theory. Zbl 1369.37001Viana, Marcelo; Oliveira, Krerley 59 2016 Simplicity of Lyapunov spectra: proof of the Zorich-Kontsevich conjecture. Zbl 1143.37001Avila, Artur; Viana, Marcelo 58 2007 Multidimensional nonhyperbolic attractors. Zbl 1037.37016Viana, Marcelo 52 1997 Almost all cocycles over any hyperbolic system have nonvanishing Lyapunov exponents. Zbl 1173.37019Viana, Marcelo 47 2008 What’s new on Lorenz strange attractors? Zbl 1052.37026Viana, Marcelo 45 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 1025.37018Bonatti, Christian; Gómez-Mont, Xavier; Viana, Marcelo 45 2003 Existence, uniqueness and stability of equilibrium states for non-uniformly expanding maps. Zbl 1193.37009Varandas, Paulo; Viana, Marcelo 39 2010 Statistical stability for robust classes of maps with non-uniform expansion. Zbl 1067.37034Alves, José F.; Viana, Marcelo 38 2002 The entropy conjecture for diffeomorphisms away from tangencies. Zbl 1325.37031Liao, Gang; Viana, Marcelo; Yang, Jiagang 32 2013 Lyapunov exponents with multiplicity 1 for deterministic products of matrices. Zbl 1087.37017Bonatti, C.; Viana, M. 31 2004 Physical measures and absolute continuity for one-dimensional center direction. Zbl 1417.37105Viana, Marcelo; Yang, Jiagang 29 2013 Lorenz attractors with arbitrary expanding dimension. Zbl 0896.58043Bonatti, Christian; Pumariño, António; Viana, Marcelo 27 1997 Strange attractors in higher dimensions. Zbl 0784.58044Viana, Marcelo 24 1993 Holonomy invariance: rough regularity and applications to Lyapunov exponents. Zbl 1348.37005Avila, Artur; Santamaria, Jimmy; Viana, Marcelo 24 2013 Continuity of Lyapunov exponents for random two-dimensional matrices. Zbl 1379.37100Bocker-Neto, Carlos; Viana, Marcelo 24 2017 Absolute continuity, Lyapunov exponents and rigidity. I: Geodesic flows. Zbl 1352.37084Avila, Artur; Viana, Marcelo; Wilkinson, Amie 24 2015 Solution of the basin problem for Hénon-like attractors. Zbl 0967.37023Benedicks, Michael; Viana, Marcelo 23 2001 Strange attractors in saddle-node cycles: Prevalence and globality. Zbl 0865.58034Díaz, L. J.; Rocha, J.; Viana, M. 21 1996 Geometric and measure-theoretical structures of maps with mostly contracting center. Zbl 1359.37061Dolgopyat, Dmitry; Viana, Marcelo; Yang, Jiagang 20 2016 Lyapunov exponents: how frequently are dynamical systems hyperbolic? Zbl 1147.37315Bochi, Jairo; Viana, Marcelo 19 2004 Strong stochastic stability and rate of mixing for unimodal maps. Zbl 0868.58051Baladi, Viviane; Viana, Marcelo 18 1996 Dynamics: a probabilistic and geometric perspective. Zbl 0911.58013Viana, Marcelo 18 1998 Thermodynamical formalism for robust classes of potentials and non-uniformly hyperbolic maps. Zbl 1154.37330Oliveira, Krerley; Viana, Marcelo 17 2008 Random perturbations and statistical properties of Hénon-like maps. Zbl 1131.37033Benedicks, Michael; Viana, Marcelo 16 2006 Simplicity of Lyapunov spectra: a sufficient criterion. Zbl 1137.37001Avila, Artur; Viana, Marcelo 16 2007 Uniform (projective) hyperbolicity or no hyperbolicity: a dichotomy for generic conservative maps. Zbl 1125.37308Bochi, Jairo; Viana, Marcelo 13 2002 Positive Lyapunov exponents for Lorenz-like families with criticalities. Zbl 0944.37025Luzzatto, Stefano; Viana, Marcelo 13 2000 Lyapunov exponents of linear cocycles over Markov shifts. Zbl 1371.37052Malheiro, Elaís C.; Viana, Marcelo 12 2015 Equilibrium states for hyperbolic potentials. Zbl 1361.37035Ramos, Vanessa; Viana, Marcelo 11 2017 Hausdorff dimension for non-hyperbolic repellers. II: DA diffeomorphisms. Zbl 1097.37019Horita, Vanderlei; Viana, Marcelo 10 2005 On the continuity of Hausdorff dimension and limit capacity for horseshoes. Zbl 0661.58023Palis, J.; Viana, M. 10 1988 Abundance of stable ergodicity. Zbl 1052.37023Bonatti, Christian; Matheus, Carlos; Viana, Marcelo; Wilkinson, Amie 9 2004 Existence and uniqueness of maximizing measures for robust classes of local diffeomorphisms. Zbl 1105.37021Oliveira, Krerley; Viana, Marcelo 9 2006 Measure-theoretical properties of center foliations. Zbl 1384.37043Viana, Marcelo; Yang, Jiagang 9 2017 Continuity of Lyapunov exponents in the \(C^0\) topology. Zbl 1421.37023Viana, Marcelo; Yang, Jiagang 8 2019 Cocycles over partially hyperbolic maps. Zbl 1350.37004Avila, Artur; Santamaria, Jimmy; Viana, Marcelo; Wilkinson, Amie 8 2013 Discontinuity of the Hausdorff dimension of hyperbolic sets. Zbl 0852.54038Bonatti, Christian; Díaz, Lorenzo Justiniano; Viana, Marcelo 7 1995 Infinite-modal maps with global chaotic behavior. Zbl 0916.58029Pacifico, M. J.; Rovella, A.; Viana, M. 6 1999 Invariant measures for interval maps with critical points and singularities. Zbl 1184.37032Araújo, Vítor; Luzzatto, Stefano; Viana, Marcelo 6 2009 Homoclinic tangencies and fractal invariants in arbitrary dimension. Zbl 1192.37032Moreira, Carlos Gustavo; Palis, Jacob; Viana, Marcelo 5 2001 Dynamical systems: moving into the next century. Zbl 1037.37500Viana, Marcelo 5 2001 Exclusions of parameter values in Hénon-type systems. Zbl 1054.37019Luzzatto, S.; Viana, M. 5 2003 Hausdorff dimension of non-hyperbolic repellers. I: Maps with holes. Zbl 0991.37012Horita, Vanderlei; Viana, Marcelo 4 2001 Global attractors and bifurcations. Zbl 0849.58045Viana, Marcelo 4 1996 (Dis)continuity of Lyapunov exponents. Zbl 1442.37048Viana, Marcelo 4 2020 Moduli of continuity for the Lyapunov exponents of random \(\mathrm{GL}(2)\)-cocycles. Zbl 1437.37064Tall, El Hadji Yaya; Viana, Marcelo 4 2020 Dynamics in the moduli space of Abelian differentials. Zbl 1087.14014Avila, Artur; Viana, Marcelo 3 2005 Discontinuity of Hausdorff dimension and limit capacity on arcs of diffeomorphisms. Zbl 0668.58039Diaz, Lorenzo J.; Viana, Marcelo 3 1989 Maximal entropy measures of diffeomorphisms of circle fiber bundles. Zbl 1478.37040Ures, Raúl; Viana, Marcelo; Yang, Jiagang 2 2021 Stable accessibility with \(2\) dimensional center. Zbl 1472.37033Avila, Artur; Viana, Marcelo 2 2020 Homoclinic bifurcations and persistence of nonuniformly hyperbolic attractors. Zbl 0844.58049Viana, Marcelo 2 1995 Simple Lyapunov spectrum for certain linear cocycles over partially hyperbolic maps. Zbl 1500.37027Poletti, Mauricio; Viana, Marcelo 2 2019 Cocycles over partially hyperbolic maps. Zbl 1417.37004Avila, Artur; Santamaria, Jimmy; Viana, Marcelo; Wilkinson, Amie 2 2013 Lorenz attractors with arbitrary expanding dimension. Zbl 0976.37014Bonatti, Ch.; Pumariño, A.; Viana, M. 2 2000 Lyapunov exponents of Teichmüller flows. Zbl 1148.37021Viana, Marcelo 2 2007 The intermittency route to chaotic dynamics. Zbl 1198.37043Díaz, Lorenzo J.; Rios, Isabel L.; Viana, Marcelo 1 2001 Pisa lectures on Lyapunov exponents. Zbl 1070.37014Bochi, Jairo; Viana, Marcelo 1 2003 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 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 1160.37336Viana, Marcelo 1 1999 Homoclinic bifurcations and strange attractors. Zbl 0831.58037Viana, Marcelo 1 1995 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 2018, ICM 2018, Rio de Janeiro, Brazil, August 1–9, 2018. Volume III. Invited lectures. Zbl 1437.00045 1 2018 Maximal entropy measures of diffeomorphisms of circle fiber bundles. Zbl 1478.37040Ures, Raúl; Viana, Marcelo; Yang, Jiagang 2 2021 (Dis)continuity of Lyapunov exponents. Zbl 1442.37048Viana, Marcelo 4 2020 Moduli of continuity for the Lyapunov exponents of random \(\mathrm{GL}(2)\)-cocycles. Zbl 1437.37064Tall, El Hadji Yaya; Viana, Marcelo 4 2020 Stable accessibility with \(2\) dimensional center. Zbl 1472.37033Avila, Artur; Viana, Marcelo 2 2020 Continuity of Lyapunov exponents in the \(C^0\) topology. Zbl 1421.37023Viana, Marcelo; Yang, Jiagang 8 2019 Simple Lyapunov spectrum for certain linear cocycles over partially hyperbolic maps. Zbl 1500.37027Poletti, Mauricio; Viana, Marcelo 2 2019 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 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 1 2018 Continuity of Lyapunov exponents for random two-dimensional matrices. Zbl 1379.37100Bocker-Neto, Carlos; Viana, Marcelo 24 2017 Equilibrium states for hyperbolic potentials. Zbl 1361.37035Ramos, Vanessa; Viana, Marcelo 11 2017 Measure-theoretical properties of center foliations. Zbl 1384.37043Viana, Marcelo; Yang, Jiagang 9 2017 Foundations of ergodic theory. Zbl 1369.37001Viana, Marcelo; Oliveira, Krerley 59 2016 Geometric and measure-theoretical structures of maps with mostly contracting center. Zbl 1359.37061Dolgopyat, Dmitry; Viana, Marcelo; Yang, Jiagang 20 2016 Absolute continuity, Lyapunov exponents and rigidity. I: Geodesic flows. Zbl 1352.37084Avila, Artur; Viana, Marcelo; Wilkinson, Amie 24 2015 Lyapunov exponents of linear cocycles over Markov shifts. Zbl 1371.37052Malheiro, Elaís C.; Viana, Marcelo 12 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 1309.37001Viana, Marcelo 78 2014 The entropy conjecture for diffeomorphisms away from tangencies. Zbl 1325.37031Liao, Gang; Viana, Marcelo; Yang, Jiagang 32 2013 Physical measures and absolute continuity for one-dimensional center direction. Zbl 1417.37105Viana, Marcelo; Yang, Jiagang 29 2013 Holonomy invariance: rough regularity and applications to Lyapunov exponents. Zbl 1348.37005Avila, Artur; Santamaria, Jimmy; Viana, Marcelo 24 2013 Cocycles over partially hyperbolic maps. Zbl 1350.37004Avila, Artur; Santamaria, Jimmy; Viana, Marcelo; Wilkinson, Amie 8 2013 Cocycles over partially hyperbolic maps. Zbl 1417.37004Avila, Artur; Santamaria, Jimmy; Viana, Marcelo; Wilkinson, Amie 2 2013 Extremal Lyapunov exponents: an invariance principle and applications. Zbl 1196.37054Avila, Artur; Viana, Marcelo 63 2010 Existence, uniqueness and stability of equilibrium states for non-uniformly expanding maps. Zbl 1193.37009Varandas, Paulo; Viana, Marcelo 39 2010 Singular-hyperbolic attractors are chaotic. Zbl 1214.37010Araujo, V.; Pacifico, M. J.; Pujals, E. R.; Viana, M. 62 2009 Invariant measures for interval maps with critical points and singularities. Zbl 1184.37032Araújo, Vítor; Luzzatto, Stefano; Viana, Marcelo 6 2009 Almost all cocycles over any hyperbolic system have nonvanishing Lyapunov exponents. Zbl 1173.37019Viana, Marcelo 47 2008 Thermodynamical formalism for robust classes of potentials and non-uniformly hyperbolic maps. Zbl 1154.37330Oliveira, Krerley; Viana, Marcelo 17 2008 Simplicity of Lyapunov spectra: proof of the Zorich-Kontsevich conjecture. Zbl 1143.37001Avila, Artur; Viana, Marcelo 58 2007 Simplicity of Lyapunov spectra: a sufficient criterion. Zbl 1137.37001Avila, Artur; Viana, Marcelo 16 2007 Lyapunov exponents of Teichmüller flows. Zbl 1148.37021Viana, Marcelo 2 2007 Ergodic theory of interval exchange maps. Zbl 1112.37003Viana, Marcelo 60 2006 Random perturbations and statistical properties of Hénon-like maps. Zbl 1131.37033Benedicks, Michael; Viana, Marcelo 16 2006 Existence and uniqueness of maximizing measures for robust classes of local diffeomorphisms. Zbl 1105.37021Oliveira, Krerley; Viana, Marcelo 9 2006 Dynamics beyond uniform hyperbolicity. A global geometric and probabilistic perspective. Zbl 1060.37020Bonatti, Christian; Díaz, Lorenzo J.; Viana, Marcelo 231 2005 The Lyapunov exponents of generic volume-preserving and symplectic maps. Zbl 1101.37039Bochi, Jairo; Viana, Marcelo 77 2005 Hausdorff dimension for non-hyperbolic repellers. II: DA diffeomorphisms. Zbl 1097.37019Horita, Vanderlei; Viana, Marcelo 10 2005 Dynamics in the moduli space of Abelian differentials. Zbl 1087.14014Avila, Artur; Viana, Marcelo 3 2005 Lyapunov exponents with multiplicity 1 for deterministic products of matrices. Zbl 1087.37017Bonatti, C.; Viana, M. 31 2004 Lyapunov exponents: how frequently are dynamical systems hyperbolic? Zbl 1147.37315Bochi, Jairo; Viana, Marcelo 19 2004 Abundance of stable ergodicity. Zbl 1052.37023Bonatti, Christian; Matheus, Carlos; Viana, Marcelo; Wilkinson, Amie 9 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 1025.37018Bonatti, Christian; Gómez-Mont, Xavier; Viana, Marcelo 45 2003 Exclusions of parameter values in Hénon-type systems. Zbl 1054.37019Luzzatto, S.; Viana, M. 5 2003 Pisa lectures on Lyapunov exponents. Zbl 1070.37014Bochi, Jairo; Viana, Marcelo 1 2003 Statistical stability for robust classes of maps with non-uniform expansion. Zbl 1067.37034Alves, José F.; Viana, Marcelo 38 2002 Uniform (projective) hyperbolicity or no hyperbolicity: a dichotomy for generic conservative maps. Zbl 1125.37308Bochi, Jairo; Viana, Marcelo 13 2002 Solution of the basin problem for Hénon-like attractors. Zbl 0967.37023Benedicks, Michael; Viana, Marcelo 23 2001 Homoclinic tangencies and fractal invariants in arbitrary dimension. Zbl 1192.37032Moreira, Carlos Gustavo; Palis, Jacob; Viana, Marcelo 5 2001 Dynamical systems: moving into the next century. Zbl 1037.37500Viana, Marcelo 5 2001 Hausdorff dimension of non-hyperbolic repellers. I: Maps with holes. Zbl 0991.37012Horita, Vanderlei; Viana, Marcelo 4 2001 The intermittency route to chaotic dynamics. Zbl 1198.37043Díaz, Lorenzo J.; Rios, Isabel L.; Viana, Marcelo 1 2001 SRB measures for partially hyperbolic systems whose central direction is mostly expanding. Zbl 0962.37012Alves, José F.; Bonatti, Christian; Viana, Marcelo 156 2000 SRB measures for partially hyperbolic systems whose central direction is mostly contracting. Zbl 0996.37033Bonatti, Christian; Viana, Marcelo 121 2000 What’s new on Lorenz strange attractors? Zbl 1052.37026Viana, Marcelo 45 2000 Positive Lyapunov exponents for Lorenz-like families with criticalities. Zbl 0944.37025Luzzatto, Stefano; Viana, Marcelo 13 2000 Lorenz attractors with arbitrary expanding dimension. Zbl 0976.37014Bonatti, Ch.; Pumariño, A.; Viana, M. 2 2000 Infinite-modal maps with global chaotic behavior. Zbl 0916.58029Pacifico, 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 1160.37336Viana, Marcelo 1 1999 Dynamics: a probabilistic and geometric perspective. Zbl 0911.58013Viana, Marcelo 18 1998 Multidimensional nonhyperbolic attractors. Zbl 1037.37016Viana, Marcelo 52 1997 Lorenz attractors with arbitrary expanding dimension. Zbl 0896.58043Bonatti, Christian; Pumariño, António; Viana, Marcelo 27 1997 Strange attractors in saddle-node cycles: Prevalence and globality. Zbl 0865.58034Díaz, L. J.; Rocha, J.; Viana, M. 21 1996 Strong stochastic stability and rate of mixing for unimodal maps. Zbl 0868.58051Baladi, Viviane; Viana, Marcelo 18 1996 Global attractors and bifurcations. Zbl 0849.58045Viana, Marcelo 4 1996 Discontinuity of the Hausdorff dimension of hyperbolic sets. Zbl 0852.54038Bonatti, Christian; Díaz, Lorenzo Justiniano; Viana, Marcelo 7 1995 Homoclinic bifurcations and persistence of nonuniformly hyperbolic attractors. Zbl 0844.58049Viana, Marcelo 2 1995 Homoclinic bifurcations and strange attractors. Zbl 0831.58037Viana, Marcelo 1 1995 High dimension diffeomorphisms displaying infinitely many periodic attractors. Zbl 0817.58004Palis, J.; Viana, M. 63 1994 Abundance of strange attractors. Zbl 0815.58016Mora, Leonardo; Viana, Marcelo 133 1993 Strange attractors in higher dimensions. Zbl 0784.58044Viana, Marcelo 24 1993 Discontinuity of Hausdorff dimension and limit capacity on arcs of diffeomorphisms. Zbl 0668.58039Diaz, Lorenzo J.; Viana, Marcelo 3 1989 On the continuity of Hausdorff dimension and limit capacity for horseshoes. Zbl 0661.58023Palis, J.; Viana, M. 10 1988 all cited Publications top 5 cited Publications all top 5 Cited by 917 Authors 27 Alves, José Ferreira 27 Viana, Marcelo 26 Araújo, Vítor 26 Varandas, Paulo 25 Bonatti, Christian 24 Díaz, Lorenzo Justiniano 23 Yang, Jiagang 21 Luzzatto, Stefano 20 Avila, Artur 18 Bessa, Mário 18 Morales, Carlos Arnoldo 17 Cao, Yongluo 17 Crovisier, Sylvain 17 Gonchenko, Sergey V. 17 Yang, Dawei 15 Gelfert, Katrin Grit 15 Melbourne, Ian 15 Potrie, Rafael 14 Backes, Lucas H. 14 Bochi, Jairo 14 Pacifico, Maria José 14 Turaev, Dmitry V. 13 Tahzibi, Ali 12 Galatolo, Stefano 11 Gorodetskii, Anton Semenovich 10 Barrientos, Pablo G. 10 Climenhaga, Vaughn 10 Pesin, Yakov Borisovich 10 Pinheiro, Vilton 10 Pujals, Enrique Ramiro 10 Rodrigues, Alexandre A. P. 10 Rodriguez-Hertz, Federico 10 Ures, Raúl 9 Duarte, Pedro 9 Gan, Shaobo 9 Matheus, Carlos 9 Oliveira, Krerley 9 Poletti, Mauricio 8 Dolgopyat, Dmitry 8 Fisher, Todd L. 8 Homburg, Ale Jan 8 Rodriguez Hertz, Jana 8 Rodríguez, José Angel 8 Shinohara, Katsutoshi 8 Tian, Xueting 8 Vaienti, Sandro 8 Wang, Qiudong 8 Yoccoz, Jean-Christophe 8 Young, Lai-Sang 8 Zhang, Jinhua 8 Zhu, Yujun 7 Arbieto, Alexander 7 Carrasco, Pablo D. 7 Castro, Armando 7 Dragičević, Davor 7 Forni, Giovanni 7 Freitas, Jorge Milhazes 7 Gogolev, Andrey 7 Ibáñez, Santiago 7 Kiriki, Shin 7 Krauskopf, Bernd 7 Lopes, Artur Oscar 7 Osinga, Hinke Maria 7 Rams, Michał 6 Alvarez, Sébastien 6 Barreira, Luis Manuel 6 Bautista, Serafín 6 Berger, Pierre 6 Catsigeras, Eleonora 6 González-Tokman, Cecilia 6 Hu, Huyi 6 Kazakov, Alexey O. 6 Klein, Silvius 6 Liao, Gang 6 Mi, Zeya 6 Pérez, Sebastian A. 6 Pumariño, Antonio 6 Sadovskaya, Victoria 6 Salgado, Luciana 6 Sambarino, Martín 6 Shi, Yi 6 Shilnikov, Leonid Pavlovich 6 Sun, Wenxiang 6 Takahasi, Hiroki 6 Vásquez, Carlos H. 6 Wilkinson, Amie 6 Xu, Disheng 5 Andersson, Martin 5 Asaoka, Masayuki 5 Blumenthal, Alex 5 Brown, Aaron W. 5 Chaika, Jonathan 5 Da Luz, Adriana 5 Fakhari, Abbas 5 Frączek, Krzysztof Marek 5 Ghane, Fatemeh Helen 5 Gonchenko, Aleksandr Sergeevich 5 Hammerlindl, Andy 5 Kanigowski, Adam 5 Kleptsyn, Victor A. ...and 817 more Authors all top 5 Cited in 186 Serials 135 Ergodic Theory and Dynamical Systems 59 Discrete and Continuous Dynamical Systems 53 Communications in Mathematical Physics 41 Journal of Differential Equations 37 Transactions of the American Mathematical Society 35 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 34 Journal of Statistical Physics 34 Dynamical Systems 30 Nonlinearity 26 Israel Journal of Mathematics 25 Advances in Mathematics 25 Mathematische Zeitschrift 22 Proceedings of the American Mathematical Society 19 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 19 Journal of Modern Dynamics 18 Chaos, Solitons and Fractals 18 Inventiones Mathematicae 17 Journal of Dynamics and Differential Equations 17 Journal of the European Mathematical Society (JEMS) 15 Chaos 15 Bulletin of the Brazilian Mathematical Society. New Series 14 Physica D 14 Stochastics and Dynamics 13 Qualitative Theory of Dynamical Systems 11 Annales de l’Institut Fourier 9 Regular and Chaotic Dynamics 8 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 8 Publications Mathématiques 8 Acta Mathematica Sinica. English Series 8 Proceedings of the Steklov Institute of Mathematics 7 Journal of Economic Dynamics & Control 7 Annals of Mathematics. Second Series 7 Annales Henri Poincaré 6 Duke Mathematical Journal 6 Geometric and Functional Analysis. GAFA 6 Discrete and Continuous Dynamical Systems. Series B 6 Portugaliae Mathematica. Nova Série 5 Journal of Mathematical Analysis and Applications 5 Acta Mathematica 5 Functional Analysis and its Applications 5 Geometriae Dedicata 5 Monatshefte für Mathematik 5 Boletim da Sociedade Brasileira de Matemática. Nova Série 5 Experimental Mathematics 5 SIAM Journal on Applied Dynamical Systems 4 Journal of Computational Physics 4 Mathematische Annalen 4 Proceedings of the London Mathematical Society. Third Series 4 Topology and its Applications 4 Journal of the American Mathematical Society 4 Bulletin of the American Mathematical Society. New Series 4 Communications in Nonlinear Science and Numerical Simulation 4 Journal of Dynamical and Control Systems 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Journal of the Institute of Mathematics of Jussieu 4 Science China. Mathematics 4 Journal de l’École Polytechnique – Mathématiques 3 Communications on Pure and Applied Mathematics 3 Journal of Mathematical Physics 3 Commentarii Mathematici Helvetici 3 Journal of Functional Analysis 3 Journal of the Korean Mathematical Society 3 Topological Methods in Nonlinear Analysis 3 Journal of Difference Equations and Applications 3 Doklady Mathematics 3 Nonlinear Dynamics 3 Geometry & Topology 3 Discrete Dynamics in Nature and Society 3 Differential Equations 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 Bulletin de la Société Mathématique de France 2 Compositio Mathematica 2 Memoirs of the American Mathematical Society 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 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 Communications in Contemporary Mathematics 2 Foundations of Computational Mathematics 2 Journal of Dynamical Systems and Geometric Theories 2 Groups, Geometry, and Dynamics 2 Journal of Computational Dynamics 1 Advances in Applied Probability 1 Applicable Analysis 1 Journal of the Franklin Institute 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Physics Reports 1 Mathematics of Computation 1 The Mathematical Intelligencer 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Collectanea Mathematica 1 Dissertationes Mathematicae 1 Fundamenta Mathematicae ...and 86 more Serials all top 5 Cited in 50 Fields 1,041 Dynamical systems and ergodic theory (37-XX) 82 Ordinary differential equations (34-XX) 56 Probability theory and stochastic processes (60-XX) 52 Measure and integration (28-XX) 35 Manifolds and cell complexes (57-XX) 31 Several complex variables and analytic spaces (32-XX) 26 Statistical mechanics, structure of matter (82-XX) 22 Functions of a complex variable (30-XX) 22 Differential geometry (53-XX) 18 Number theory (11-XX) 16 Operator theory (47-XX) 15 Numerical analysis (65-XX) 14 Partial differential equations (35-XX) 14 Difference and functional equations (39-XX) 12 General topology (54-XX) 12 Biology and other natural sciences (92-XX) 11 Global analysis, analysis on manifolds (58-XX) 11 Mechanics of particles and systems (70-XX) 11 Systems theory; control (93-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 10 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 8 Algebraic geometry (14-XX) 8 Group theory and generalizations (20-XX) 8 Topological groups, Lie groups (22-XX) 8 Fluid mechanics (76-XX) 8 Quantum theory (81-XX) 6 Geophysics (86-XX) 5 Statistics (62-XX) 4 Mathematical logic and foundations (03-XX) 4 Functional analysis (46-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Computer science (68-XX) 4 Information and communication theory, circuits (94-XX) 3 History and biography (01-XX) 3 Real functions (26-XX) 3 Convex and discrete geometry (52-XX) 3 Optics, electromagnetic theory (78-XX) 2 Combinatorics (05-XX) 2 Algebraic topology (55-XX) 2 Mechanics of deformable solids (74-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 General and overarching topics; collections (00-XX) 1 General algebraic systems (08-XX) 1 Commutative algebra (13-XX) 1 Potential theory (31-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Abstract harmonic analysis (43-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. Updates and corrections should be made in Wikidata.