4 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…
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…
Non-uniformly hyperbolic endomorphisms
Martin Andersson, Pablo D. Carrasco, Radu Saghin
We show the existence of large open sets of area preserving endomorphisms of the two-torus which have no dominated splitting and are non-uniformly hyperbolic, meanin…