Markov structures and decay of correlations for non-uniformly expanding dynamical systems JF Alves, S Luzzatto, V Pinheiro Annales de l'Institut Henri Poincaré C 22 (6), 817-839, 2005 | 137 | 2005 |
The Lorenz attractor is mixing S Luzzatto, I Melbourne, F Paccaut Communications in Mathematical Physics 260, 393-401, 2005 | 134 | 2005 |
Decay of correlations in one-dimensional dynamics H Bruin, S Luzzatto, S Van Strien Annales scientifiques de l'Ecole normale supérieure 36 (4), 621-646, 2003 | 127 | 2003 |
From rates of mixing to recurrence times via large deviations JF Alves, JM Freitas, S Luzzatto, S Vaienti Advances in Mathematics 228 (2), 1203-1236, 2011 | 86 | 2011 |
SRB measures for partially hyperbolic systems whose central direction is weakly expanding JF Alves, CL Dias, S Luzzatto, V Pinheiro Journal of the European Mathematical Society 19 (10), 2911-2946, 2017 | 54 | 2017 |
Some non-hyperbolic systems with strictly non-zero Lyapunov exponents for all invariant measures: horseshoes with internal tangencies Y Cao, S Luzzatto, I Rios arXiv preprint math/0306041, 2003 | 51 | 2003 |
Positive Lyapunov exponents for Lorenz-like families with criticalities S Luzzatto, M Viana Astérisque 261, 201-237, 2000 | 49 | 2000 |
Statistical properties of one-dimensional maps with critical points and singularities K Diaz-Ordaz, MP Holland, S Luzzatto Stochastics and Dynamics 6 (04), 423-458, 2006 | 47 | 2006 |
Stochastic-like behaviour in nonuniformly expanding maps S Luzzatto Handbook of dynamical systems 1, 265-326, 2006 | 41 | 2006 |
Lyapunov exponents and rates of mixing for one-dimensional maps JF Alves, S Luzzatto, V Pinheiro Ergodic Theory and Dynamical Systems 24 (3), 637-657, 2004 | 41 | 2004 |
Non-uniformly expanding dynamics in maps with singularities and criticalities S Luzzatto, W Tucker Publications Mathématiques de l'Institut des Hautes Études Scientifiques 89 …, 1999 | 41 | 1999 |
The boundary of hyperbolicity for Hénon-like families Y Cao, S Luzzatto, I Rios Ergodic Theory and Dynamical Systems 28 (4), 1049-1080, 2008 | 38 | 2008 |
The geometric approach for constructing Sinai–Ruelle–Bowen measures V Climenhaga, S Luzzatto, Y Pesin Journal of Statistical Physics 166, 467-493, 2017 | 29 | 2017 |
Finite resolution dynamics S Luzzatto, P Pilarczyk Foundations of Computational Mathematics 11, 211-239, 2011 | 25 | 2011 |
Bounded recurrence of critical points and Jakobson's theorem S Luzzatto LONDON MATHEMATICAL SOCIETY LECTURE NOTE SERIES, 173-210, 2000 | 25 | 2000 |
A minimum principle for Lyapunov exponents and a higher-dimensional version of a theorem of Mañé Y Cao, S Luzzatto, I Rios Qualitative Theory of Dynamical Systems: 5, 2, 2004, 261-273, 2004 | 24 | 2004 |
Computable conditions for the occurrence of non-uniform hyperbolicity in families of one-dimensional maps S Luzzatto, H Takahasi Nonlinearity 19 (7), 1657, 2006 | 22 | 2006 |
Geometry of expanding absolutely continuous invariant measures and the liftability problem JF Alves, CL Dias, S Luzzatto Annales de l'Institut Henri Poincaré C, Analyse non linéaire 30 (1), 101-120, 2013 | 21 | 2013 |
Statistical properties and decay of correlations for interval maps with critical points and singularities S Luzzatto, I Melbourne Communications in Mathematical Physics 320, 21-35, 2013 | 19 | 2013 |
Parameter exclusions in Hénon-like systems S Luzzatto, M Viana Russian Mathematical Surveys 58 (6), 1053, 2003 | 18 | 2003 |