The entropy conjecture for diffeomorphisms away from tangencies.
We prove that every C1 diffeomorphism away from homoclinic tangencies is entropy
expansive, with locally uniform expansivity constant. Consequently, such diffeomorphisms …
expansive, with locally uniform expansivity constant. Consequently, such diffeomorphisms …
Equilibrium measures for some partially hyperbolic systems
We study thermodynamic formalism for topologically transitive partially hyperbolic systems in
which the center-stable bundle satisfies a bounded expansion property, and show that every …
which the center-stable bundle satisfies a bounded expansion property, and show that every …
Partial hyperbolicity and homoclinic tangencies
S Crovisier, M Sambarino, D Yang - Journal of the European …, 2015 - ems.press
Partial hyperbolicity and homoclinic tangencies Page 1 DOI 10.4171/JEMS/497 J. Eur. Math.
Soc. 17, 1–49 c European Mathematical Society 2015 Sylvain Crovisier · Martin Sambarino …
Soc. 17, 1–49 c European Mathematical Society 2015 Sylvain Crovisier · Martin Sambarino …
Entropic stability beyond partial hyperbolicity
J Buzzi, T Fisher - arXiv preprint arXiv:1103.2707, 2011 - arxiv.org
We analyze a class of deformations of Anosov diffeomorphisms: these $ C^ 0$-small, but $
C^ 1$-macroscopic deformations break the topological conjugacy class but leave the high …
C^ 1$-macroscopic deformations break the topological conjugacy class but leave the high …
Weak expansion properties and a large deviation principle for coarse expanding conformal systems
Z Li, H Zheng - arXiv preprint arXiv:2311.07305, 2023 - arxiv.org
In this paper, we prove that for a metric coarse expanding conformal system $ f\:(\mathfrak
{X} _1, X)\rightarrow (\mathfrak {X} _0, X) $ with repellor $ X $, the map $ f| _X\: X\rightarrow …
{X} _1, X)\rightarrow (\mathfrak {X} _0, X) $ with repellor $ X $, the map $ f| _X\: X\rightarrow …
Robustness and uniqueness of equilibrium states for certain partially hyperbolic systems
JC Mongez, MJ Pacifico - arXiv preprint arXiv:2306.12323, 2023 - arxiv.org
arXiv:2306.12323v1 [math.DS] 21 Jun 2023 Page 1 arXiv:2306.12323v1 [math.DS] 21 Jun 2023
ROBUSTNESS AND UNIQUENESS OF EQUILIBRIUM STATES FOR CERTAIN PARTIALLY …
ROBUSTNESS AND UNIQUENESS OF EQUILIBRIUM STATES FOR CERTAIN PARTIALLY …
Equilibrium states for partially hyperbolic diffeomorphisms with hyperbolic linear part
J Crisostomo, A Tahzibi - Nonlinearity, 2019 - iopscience.iop.org
We address the problem of existence and uniqueness (finiteness) of ergodic equilibrium
states for a natural class of partially hyperbolic dynamics homotopic to Anosov. We propose …
states for a natural class of partially hyperbolic dynamics homotopic to Anosov. We propose …
Finite Measures of Maximal Entropy for an Open Set of Partially Hyperbolic Diffeomorphisms
JC Mongez, MJ Pacifico - arXiv preprint arXiv:2401.02776, 2024 - arxiv.org
We consider partially hyperbolic diffeomorphisms $ f $ with a one-dimensional central
direction such that the unstable entropy exceeds the stable entropy. Our main result proves …
direction such that the unstable entropy exceeds the stable entropy. Our main result proves …
[HTML][HTML] Weak expansiveness for actions of sofic groups
In this paper, we shall introduce h-expansiveness and asymptotical h-expansiveness for
actions of sofic groups. By definition, each h-expansive action of a sofic group is …
actions of sofic groups. By definition, each h-expansive action of a sofic group is …
surface diffeomorphisms with no maximal entropy measure
J Buzzi - Ergodic Theory and Dynamical Systems, 2014 - cambridge.org
${C}^{r} $ surface diffeomorphisms with no maximal entropy measure Page 1 doi:10.1017/etds.2013.25
C r surface diffeomorphisms with no maximal entropy measure JÉRÔME BUZZI CNRS & …
C r surface diffeomorphisms with no maximal entropy measure JÉRÔME BUZZI CNRS & …