6 papers
Geometrical constructions of equilibrium states
Pablo D. Carrasco, Federico Rodriguez-Hertz
In this note we report some advances in the study of thermodynamic formalism for a class of partially hyperbolic system -- center isometries, that includes regular elements in Anos…
Extended flexibility of Lyapunov exponents for Anosov diffeomorphisms
Pablo Carrasco, Radu Saghin
Bochi-Katok-Rodriguez Hertz proposed in [BKH21] a program on the flexibility of Lyapunov exponents for conservative Anosov diffeomorphisms, and obtained partial results in this dir…
A Symmetric Random Walk defined by the Time-One Map of a Geodesic Flow
Pablo D. Carrasco, Túlio Vales
In this note we consider a symmetric random walk defined by a Kalikow type system, where is the time-one map of the geodesic flow corresponding to an hyperbolic ma…
A new example of robustly transitive diffeomorphism
Pablo D. Carrasco, Davi Obata
We present an example of a -robustly transitive skew-product with non-trivial, non-hyperbolic action on homology. The example is conservative, ergodic, non-uniformly…
Classification of partially hyperbolic diffeomorphisms under some rigid conditions
Pablo D. Carrasco, Enrique Pujals, Federico Rodriguez-Hertz
Consider a three dimensional partially hyperbolic diffeomorphism. It is proven that under some rigid hypothesis on the tangent bundle dynamics, the map is (modulo finite covers and…
Symbolic Dynamics for Normally Hyperbolic Foliations
Pablo D. Carrasco
We introduce some tools of symbolic dynamics to study the hyperbolic directions of partially hyperbolic diffeomorphisms, emulating the well known methods available for uniformly hy…