4 citations · 4 across the 3 of their papers we have counts for
7 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…
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…