9 citations · 14 across the 9 of their papers we have counts for
4 papers · 1 filter
Exponential mixing implies Bernoulli
Dmitry Dolgopyat, Adam Kanigowski, Federico Rodriguez-Hertz
Let be a diffeomorphism of a compact manifold preserving a smooth measure . We show that if is exponentially mixing then it is Bernoulli.
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…
Contributions to the ergodic theory of hyperbolic flows: unique ergodicity for quasi-invariant measures and equilibrium states for the time-one map
Pablo D. Carrasco, Federico Rodriguez-Hertz
We consider the horocyclic flow corresponding to a (topologically mixing) Anosov flow or diffeomorphism, and establish the uniqueness of transverse quasi-invariant measures with Hö…
Equilibrium States for Center Isometries
Pablo D. Carrasco, Federico Rodriguez-Hertz
We develop a geometric method to establish existence and uniqueness of equilibrium states associated to some Hölder potentials for center isometries (as are regular elements of Ano…