Recent results:
- José Santana Costa and A. Tahzibi, Rigidity of Lyapunov exponents for derived from Anosov diffeomorphisms, to appear in Ergodic Theory and Dynamical Systems
- R. Cubas and A. Tahzibi, Maximal Entropy Measures for Non-Accessible Topological Skew Products, 2024
Tahzibi, A. La formule d'entropie de Pesin C1-générique. Comptes Rendus. Mathématique, France, v. 335, p. 1057-1062, 2002.
Tahzibi, Ali . Robust transitivity and almost robust ergodicity. Ergodic Theory & Dynamical Systems (Print), v. 24, p. 1261-1269, 2004.
TAHZIBI, A. . Stably ergodic diffeomorphisms which are not partially hyperbolic. Israel Journal of Mathematics, v. 142, p. 315-344, 2004.
Araújo, Vítor ; TAHZIBI, A. . Stochastic stability at the boundary of expanding maps. Nonlinearity (Bristol), v. 18, p. 939-958, 2005.
Alves, José F. ; Oliveira, Krerley ; TAHZIBI, A. . On the Continuity of the SRB Entropy for Endomorphisms. Journal of Statistical Physics, v. 123, p. 763-785, 2006.
TAHZIBI, A.; HORITA, V ; Partial hyperbolicity for symplectic diffeomorphisms. Annales de l Institut Henri Poincaré. Analyse non Linéaire, v. 23, p. 641-661, 2006.
TAHZIBI, A.; HERTZ, F. R. ; HERTZ, M. A. R. ; URES, R. . A criterion for ergodicity of non uniformly hyperbolic diffeomorphisms. Electronic Research Announcements of the American Mathematical Society (Cessou em 2007. Cont. ISSN 1935-9179 Electronic Research Announcements in Math, v. 14, p. 74-81, 2007.
TAHZIBI, A.; Maquera, Carlos . Robustly transitive actions of R2 on compact three manifolds. Bulletin Brazilian Mathematical Society (Impresso), v. 38, p. 189-201, 2007.
TAHZIBI, A.; ARAUJO, V. . Physical measures at the boundary of hyperbolic maps. Discrete and Continuous Dynamical Systems, v. 20, p. 849-876, 2008.
Hertz, F Rodriguez ; Hertz, M A Rodriguez ; Tahzibi, A ; Ures, R . Creation of blenders in the conservative setting. Nonlinearity (Bristol. Print), v. 23, p. 211-223, 2010.
Rodriguez Hertz, F. ; Rodriguez Hertz, M. A. ; TAHZIBI, A. ; URES, R. . New criteria for ergodicity and nonuniform hyperbolicity. Duke Mathematical Journal, v. 160, p. 599-629, 2011.
Rodriguez Hertz, F. ; Rodriguez Hertz, M. A. ; TAHZIBI, A. ; URES, R. . Uniqueness of SRB Measures for Transitive Diffeomorphisms on Surfaces. Communications in Mathematical Physics, v. 306, p. 35-49, 2011.
Rodriguez Hertz, F. ; Rodriguez Hertz, M. A. ; TAHZIBI, A. ; URES, R. . Maximizing measures for partially hyperbolic systems with compact center leaves. Ergodic Theory & Dynamical Systems (Print), v. 32, p. 825-839, 2012.
MICENA, F ; Tahzibi, A . Regularity of foliations and Lyapunov exponents of partially hyperbolic dynamics on 3-torus. Nonlinearity (Bristol. Print), v. 26, p. 1071-1082, 2013.
TAHZIBI, A.; CATALAN, T. A. . A lower bound for topological entropy of generic non-Anosov symplectic diffeomorphisms. Ergodic Theory & Dynamical Systems (Print), v. First, p. 1-22, 2013.
TAHZIBI, A.; GOGOLEV, A. . Center Lyapunov exponents in partially hyperbolic dynamics. Journal of Modern Dynamics, v. 8, p. 549-576, 2014.
PONCE, G. ; TAHZIBI, A. . Central Lyapunov exponent of partially hyperbolic diffeomorphisms of T3. Proceedings of the American Mathematical Society, v. 142, p. 3193-3205, 2014.
PONCE, GABRIEL ; Tahzibi, Ali ; VARÃO, RÉGIS . Minimal yet measurable foliations. Journal of Modern Dynamics, v. 8, p. 93-107, 2014.
TAHZIBI, A.; BALAGAFSHEH, P. M. . SRB Measures and Homoclinic Relation for Endomorphisms. Journal of Statistical Physics, v. 136, p. 139-155, 2016.
MICENA, FERNANDO ; Tahzibi, Ali . On the unstable directions and Lyapunov exponents of Anosov endomorphisms. Fundamenta Mathematicae, v. 235, p. 1-12, 2016.
Ali Tahzibi and Jiagang Yang; Invariance principle and rigidity of high entropy measures, Transactions of American Mathematica Society, v. 371, p. 1231-1251, 2019.
G. Ponce, Tahzibi, A. and Varão J. R. On the Bernoulli property for certain partially hyperbolic diffeomorphisms, Advances in Mathematics, v. 329, p. 329-360, 2018.
F. Micena and Tahzibi, A. A note on rigidity of Anosov diffeomorphisms on three torus. 2019, Proceedings of A.M.S, 147 (2019), 2453-2463.
Crisostomo, J and Tahzibi, A. Equilibrium States for Partially hyperbolic diffeomorphisms with linear part. , Nonlinearity v. 32, p. 584-602, 2019.
BRONZI, MARCUS ; Tahzibi, Ali . Homoclinic tangency and variation of entropy. Portugaliae Mathematica, v. 77, p. 383-398, 2020.
Tahzibi, A. Unstable entropy in smooth ergodic theory (Invited Paper). Nonlinearity, v. 34, p. R75-R118, 2021.
Rocha, Elias Joas and Tahzibi, A. On the number of ergodic measures of maximal entropy for partially hyperbolic diffeomorphisms with compact center leaves, 2022, Mathematische Zeitschrift, v. 301, n. 1, p. 471-484,2022.