9 citations · 14 across the 10 of their papers we have counts for
11 papers
Thermodynamic Formalism for Quasimorphisms: Lattices in Higher Rank Semisimple Lie Groups
Pablo D. Carrasco, Federico Rodriguez-Hertz
We give a new proof, based on thermodynamic formalism, of a foundational result of Burger and Monod in bounded cohomology. Let be a noncompact connected semisimple real Lie gro…
Thermodynamic Formalism Out of Equilibrium Part I: Pressure Out of Equilibrium, and Azuma Inequality and Gibbs Processes
Snir Ben Ovadia, Aaron Brown, Federico Rodriguez-Hertz
We study the thermodynamic formalism of topological Markov shifts where the potential varies by a random walk on an exterior system. We define the {\em pressure out of equilibrium}…
Thermodynamic formalism for Quasimorphisms: Bounded Cohomology and Statistics
Pablo D. Carrasco, Federico Rodriguez-Hertz
For a compact negatively curved space, we develop a thermodynamic formalism framework to study the space of quasimorphisms of its fundamental group modulo bounded functions. We pro…
Mixed quantization and partial hyperbolicity
Snir Ben Ovadia, Qiaochu Ma, Federico Rodriguez-Hertz
We establish stable quantum ergodicity for spin Hamiltonians, also known as Pauli-Schrödinger operators. Our approach combines new analytic techniques of mixed quantization, inspir…
Rigidity of equilibrium states and unique quasi-ergodicity for horocyclic foliations
Pablo D. Carrasco, Federico Rodriguez-Hertz
In this paper we prove that for topologically mixing metric Anosov flows their equilibrium states corresponding to Hölder potentials satisfy a strong rigidity property: they are de…
Neutralized local entropy, and dimension bounds for invariant measurs
Snir Ben Ovadia, Federico Rodriguez-Hertz
We introduce a notion of a point-wise entropy of measures (i.e local entropy) called neutralized local entropy, and compare it with the Brin-Katok local entropy. We show that the n…
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…
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…