5 papers
Thermodynamic Formalism for Quasimorphisms: Lattices in Higher Rank Semisimple Lie Groups
Pablo D. Carrasco, Federico Rodriguez-Hertz
We give a proof, based on thermodynamic formalism, of a theorem in bounded cohomology extending a foundational result of Burger and Monod: if is an irreducible uniform lattice…
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…
Thermodynamic Formalism Out of Equilibrium, and Gibbs Processes
Snir Ben Ovadia, Federico Rodriguez-Hertz
We study the thermodynamic formalism of systems where the potential depends randomly on an exterior system. We define the {\em pressure out of equilibrium} for such a family of pot…
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, inspi…
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 d…