5 papers · 1 filter
Chain Recurrence and Positive Shadowing in Linear Dynamics
Mayara Braz Antunes, Gabriel Elias Mantovani, Régis Varão
We study shadowing and chain recurrence in the context of linear operators acting on Banach spaces or even on normed vector spaces. We show that for linear operators there is only…
Equilibrium states for maps isotopic to Anosov
Carlos F. Álvarez, Adriana Sánchez, Régis Varão
In this work we address the problem of existence and uniqueness (finiteness) of ergodic equilibrium states for partially hyperbolic diffeomorphisms isotopic to Anosov on $\mathbb{T…
The disintegration of measures with periodic repetitive pattern
Bruno Santiago, Régis Varão
In the context of locally constant skew-products over the shift with circle fiber maps we introduce the notion of measures with periodic repetitive pattern, inspired by \cite{GorIl…
Measure Rigidity and Disintegration: Time-one map of flows
Gabriel Ponce, Régis Varão
An invariant measure for a flow is, of course, an invariant measure for any of its time-t maps. But the converse is far from being true. Hence, one may naturally ask: What is the o…
On the Bernoulli property for certain partially hyperbolic diffeomorphisms
Gabriel Ponce, Ali Tahzibi, Régis Varão
We address the classical problem of equivalence between Kolmogorov and Bernoulli property of smooth dynamical systems. In a natural class of volume preserving partially hyperbolic…