Alejandro RODRIGUEZ SPONHEIMER

collaborators

2 papers

math.DS2024

On uniform recurrence for hyperbolic automorphisms of the $2$ -dimensional torus

Georgios Lamprinakis, Tomas Persson, Alejandro Rodriguez Sponheimer

We are interested in studying sets of the form \[ \mathcal{U}(α) := \left\{ x\in X: \ \exists M=M(x) \geq 1 \text{ such that } \forall N\geq M, \ \exists n\leq N \text{ such that }…

math.DS2023

A Recurrence-type Strong Borel--Cantelli Lemma for Axiom A Diffeomorphisms

Alejandro Rodriguez Sponheimer

Let $(X, μ, T, d)$ be a metric measure-preserving dynamical system such that $3$ -fold correlations decay exponentially for Lipschitz continuous observables. Given a sequence $(M_{k})$ t…

On uniform recurrence for hyperbolic automorphisms of the 2-dimensional torus

A Recurrence-type Strong Borel--Cantelli Lemma for Axiom A Diffeomorphisms

On uniform recurrence for hyperbolic automorphisms of the $2$ -dimensional torus