34 citations · 141 across the 24 of their papers we have counts for
27 papers
Maximal Entropy Measures for Non-Accessible Topological Skew Products
Ali Tahzibi, Richard Cubas
In this paper we establish a dichotomy for the ergodic measures of maximal entropy for partially hyperbolic diffeomorphisms with one-dimensional compact center leaves which are vir…
Rigidity of Lyapunov exponents for derived from Anosov diffeomorphisms
José Santana Costa, Ali Tahzibi
For a class of volume preserving partially hyperbolic diffeomorphisms (or non-uniformly Anosov) $f\colon {\T}^d\rightarrow{\T}^d$ homotopic to linear Anosov automorphism, we show t…
Disintegrations of non-hyperbolic ergodic measures along the center foliation of DA maps
Ali Tahzibi, Jinhua Zhang
We show that each non-hyperbolic ergodic measure of a partially hyperbolic diffeomorphism on which is homotopic to Anosov admits a full measure subset which intersec…
On the number of ergodic measures of maximal entropy for partially hyperbolic diffeomorphisms with compact center leaves
Joas Elias Rocha, Ali Tahzibi
In this paper, we study the number of ergodic measures of maximal entropy for partially hyperbolic diffeomorphisms defined on torus with compact center leaves. Assuming the exi…
Unstable entropy in smooth ergodic theory
Ali Tahzibi
In this survey we recall basic notions of disintegration of measures and entropy along unstable laminations. We review some roles of unstable entropy in smooth ergodic theory inclu…
A dichotomy for measures of maximal entropy near time-one maps of transitive Anosov flows
Jérôme Buzzi, Todd Fisher, Ali Tahzibi
We show that time-one maps of transitive Anosov flows of compact manifolds are accumulated by diffeomorphisms robustly satisfying the following dichotomy: either all of the measure…