Sebasti'an Pavez-Molina

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math.DS2026

Local smooth rigidity of Anosov diffeomorphisms in $T^{3}$

James Marshall Reber, Sebastián Pavez-Molina

Given a $C^{0}$ conjugacy between two Anosov diffeomorphisms, the matching periodic data problem asks whether this conjugacy is smooth provided spectral data of the diffeomorphisms m…

math.DS2019

Generic Rotation Sets

Sebastián Pavez-Molina

Let $(X, T)$ be a topological dynamical system. Given a continuous vector-valued function $F \in C (X, R^{d})$ called a potential we define its rotation set $R (F)$ as the se…

Local smooth rigidity of Anosov diffeomorphisms in T3

Generic Rotation Sets

Local smooth rigidity of Anosov diffeomorphisms in $T^{3}$