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math.DS2023
On the Number of Periodic Points for Expansive Pseudo-Groups
Pablo D. Carrasco, Elias Rego, Jana Rodriguez-Hertz
In this work we consider foliations of compact manifolds whose holonomy pseudo-group is expansive, and analyze their number of compact leaves. Our main result is that in the codime…
math.DS2023
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…