Embedded Files
2022
Buzzi, J, Fisher, T and Tahzibi, A. A dichotomy for measures of maximal entropy near time-one map of transitive Anosov flows, to appear in Annales Scientifique del ENS.
Rocha, Elias Joas and Tahzibi, A. On the number of ergodic measures of maximal entropy for partially hyperbolic diffeomorphisms with compact center leaves, 2022, 301, pages 471–484 , Mathematische Zeitschrift .
2021
Baladi, V. and Smania, D. Fractional susceptibility functions for the quadratic family: Misiurewicz-Thurston parameters. Communications in Mathematical Physics (2021)
Tahzibi, A. Unstable entropy in smooth ergodic theory (Invited Paper). Nonlinearity, v. 34, p. R75-R118, 2021.
2020
Smania, D. Solenoidal attractors with bounded combinatorics are shy. Annals of Mathematics 191, Issue 1, (2020) 1-79.
https://annals.math.princeton.edu/2020/191-1/p01
Smania, D. Classic and Exotic Besov Spaces Induced by Good Grids. The Journal of Geometric Analysis (2020).
https://doi.org/10.1007/s12220-020-00361-x
2019
CRISOSTOMO, J. ; Tahzibi, A . Equilibrium states for partially hyperbolic diffeomorphisms with hyperbolic linear part. Nonlinearity, v. 32, p. 584-602, 2019.
Tahzibi, A; MICENA, F. P. . A note on rigidity of Anosov diffeomorphisms of the three torus. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, p. 1, 2019.
Tahzibi, Ali; YANG, JIAGANG . Invariance principle and rigidity of high entropy measures. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY (ONLINE), v. 371, p. 1231-1251, 2019.
Smania. D. Shy shadows of infinite-dimensional partially hyperbolic invariant sets. Ergodic Theory and Dynamical Systems Journal 39 (2019) pp. 1361-1400.
https://doi.org/10.1017/etds.2017.65
de Lima, A. and Smania, D. Central limit theorem for generalized Weierstrass functions. Stochastics and DynamicsVol. 19, No. 01, 1950002 (2019)
https://doi.org/10.1142/S0219493719500023
2018
G. Ponce, A. Tahzibi and J.R. Varão. On the Bernoulli property for certain partially hyperbolic diffeomorphisms. Advances in Mathematics.
2017
Siqueira, C. , Smania, D. Holomorphic motions for unicritical correspondences. Nonlinearity 30 (2017) 3104–3125
2016
de Lima, A. and Smania, D. Central limit theorem for the modulus of continuity of averages of observables on transversal families of piecewise expanding unimodal maps. Journal of the Institute of Mathematics of Jussieu (FirstView Article)
Vidarte, J.; Smania, D. Existence of C^k-invariant foliations for Lorenz type maps. Journal of Dynamics and Differential Equations (Online First).
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.
2014
Cunha, K. and Smania, D. Rigidity for piecewise smooth homeomorphisms on the circle. Advances in Mathematics Volume 250, 15 January 2014, Pages 193–226.
Moreira, C. G. , Smania, D. Metric stability for random walks (with applications in renormalization theory). In Frontiers in Complex Dynamics: In Celebration of John Milnor's 80th Birthday. Edited by Araceli Bonifant, Misha Lyubich, & Scott Sutherland, Princeton University Press, January 2014.
Cunha, K; Smania, D. Renormalization for piecewise smooth homeomorphisms on the circle. Annales de l'Institut Henri Poincare (C) Non Linear Analysis Volume 30, Issue 3, May–June 2013, 441–462.
Ponce, Gabriel ; Tahzibi, Ali ; Varão, Régis. Minimal yet measurable foliations. Journal of Modern Dynamics, v. 8, p. 93-107, 2014.
Ponce, G. ; Tahzibi, A. . Central Lyapunov exponent of partially hyperbolic diffeomorphisms of T^{3}. Proceedings of the American Mathematical Society, v. 142, p. 3193-3205, 2014.
Tahzibi, A.; Gogolev, A. . Center Lyapunov exponents in partially hyperbolic dynamics. Journal of Modern Dynamics, v. 8, p. 549-576, 2014.
2013
de Lima, A.; Smania, D. On infinitely cohomologous to zero observables. Ergodic Theory and Dynamical Systems, Volume 33, Issue 02, April 2013, pp 375-399.
2012
Rodriguez Hertz, F. ; Rodriguez Hertz, M. A.; Tahzibi, A. ; Ures, R. . Maximizing measures for partially hyperbolic systems with compact center leaves. Ergodic Theory and Dynamical Systems (Print), v. 32, p. 825-839, 2012
Baladi, V. and Smania, D. Linear response for smooth deformations of generic nonuniformly hyperbolic unimodal maps. Annales scientifiques de l'ENS 45, fascicule 6 (2012), 861-926.
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. . New criteria for ergodicity and nonuniform hyperbolicity. Duke Mathematical Journal, v. 160, p. 599-629, 2011.
2010
Baladi, V.; Smania, D. Alternative proofs of linear response for piecewise expanding unimodal maps. Ergodic Theory and Dynamical Systems, 30 (2010), 1-20.
2008
Baladi, V. and Smania, D. Linear response formula for piecewise expanding unimodal map. Nonlinearity 21 (2008) 677-711.
2007
Smania, D. Puzzle geometry and rigidity: The Fibonacci cycle is hyperbolic. J. Amer. Math. Soc. 20 (2007), no. 3, 629-673.
2006
Smania, D. On the hyperbolicity of the period doubling fixed point. Trans. Amer. Math. Soc. 358 (2006), no. 4, 1827-1846.
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