15 citations · 40 across the 16 of their papers we have counts for
4 papers · 1 filter
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…
Extended flexibility of Lyapunov exponents for Anosov diffeomorphisms
Pablo Carrasco, Radu Saghin
Bochi-Katok-Rodriguez Hertz proposed in [BKH21] a program on the flexibility of Lyapunov exponents for conservative Anosov diffeomorphisms, and obtained partial results in this dir…