| An invariant measure for rational maps AFA Lopes, R Mañé Bol. Soc. Bras. Math 14 (45-62), 61-62, 1983 | 310 | 1983 |
| Lyapunov minimizing measures for expanding maps of the circle G Contreras, AO Lopes, P Thieullen Ergodic Theory and Dynamical Systems 21 (5), 1379-1409, 2001 | 210 | 2001 |
| Equações diferenciais ordinárias CI Doering, AO Lopes IMPA, 2014 | 157 | 2014 |
| Entropy and variational principle for one-dimensional lattice systems with a general a priori probability: positive and zero temperature AO Lopes, JK Mengue, J Mohr, RR Souza Ergodic Theory and Dynamical Systems 35 (6), 1925-1961, 2015 | 91 | 2015 |
| The zeta function, non-differentiability of pressure, and the critical exponent of transition AO Lopes Advances in Mathematics 101 (2), 133-165, 1993 | 89 | 1993 |
| On the general one-dimensional XY model: positive and zero temperature, selection and non-selection AT Baraviera, LM Cioletti, AO Lopes, J Mohr, RR Souza Reviews in Mathematical Physics 23 (10), 1063-1113, 2011 | 75 | 2011 |
| Entropy and large deviation AO Lopes Nonlinearity 3 (2), 527, 1990 | 71 | 1990 |
| The dimension spectrum of the maximal measure AO Lopes SIAM journal on mathematical analysis 20 (5), 1243-1254, 1989 | 66 | 1989 |
| Open Billiards: Invariant and Conditionally Iinvariant Probabilities on Cantor Sets A Lopes, R Markarian SIAM Journal on Applied Mathematics 56 (2), 651-680, 1996 | 65 | 1996 |
| On the Aubry–Mather theory for symbolic dynamics E Garibaldi, AO Lopes Ergodic Theory and Dynamical Systems 28 (3), 791-815, 2008 | 59 | 2008 |
| A large deviation principle for the equilibrium states of Hölder potentials: the zero temperature case A Baraviera, AO Lopes, P Thieullen Stochastics and Dynamics 6 (01), 77-96, 2006 | 59 | 2006 |
| Ergodic optimization, zero temperature limits and the max-plus algebra AT Baraviera, R Leplaideur, AO Lopes arXiv preprint arXiv:1305.2396, 2013 | 52 | 2013 |
| Exact bounds for the polynomial decay of correlation, 1/f noise and the CLT for the equilibrium state of a non-Hölder potential AM Fisher, A Lopes Nonlinearity 14 (5), 1071, 2001 | 52 | 2001 |
| Sub-actions for Anosov diffeomorphisms AO Lopes, P Thieullen Astérisque 287, 135-146, 2003 | 51 | 2003 |
| Algumas reflexões sobre a questão do alto índice de reprovação nos cursos de Cálculo da UFRGS A Lopes Sociedade Brasileira de Matemática. Rio de Janeiro, 123-146, 1999 | 51 | 1999 |
| Sub-actions for Anosov flows AO Lopes, P Thieullen Ergodic Theory and Dynamical Systems 25 (2), 605-628, 2005 | 46 | 2005 |
| Absolutely continuous invariant measures for a class of affine interval exchange maps Z Coelho, A Lopes, LF da Rocha Proceedings of the American Mathematical Society 123 (11), 3533-3542, 1995 | 46 | 1995 |
| On calibrated and separating sub-actions E Garibaldi, AO Lopes, P Thieullen Bulletin of the Brazilian Mathematical Society, New Series 40, 577-602, 2009 | 45 | 2009 |
| The calculus of thermodynamical formalism P Giulietti, BR Kloeckner, AO Lopes, DM Farias Journal of the European Mathematical Society, JEMS. Zurique, Suíça, European …, 2018 | 39 | 2018 |
| Interactions, specifications, DLR probabilities and the Ruelle operator in the one-dimensional lattice L Cioletti, AO Lopes arXiv preprint arXiv:1404.3232, 2014 | 36 | 2014 |
