4 citations · 5 across the 7 of their papers we have counts for
11 papers · 1 filter
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…