Alejandro Rodriguez Sponheimer

collaborators

2 papers

math.DS2026

Limit Laws for PoincarÃ© Recurrence and the Shrinking Target Problem

We establish distributional laws for PoincarÃ© recurrence in measure-preserving systems $(X, T, I^¼)$ satisfying an exponential multiple decorrelation condition and a short returns co…

math.DS2025

Strong Borel--Cantelli Lemmas for Recurrence

Tomas Persson, Alejandro Rodriguez Sponheimer

Let $(X, T, I^¼, d)$ be a metric measure-preserving system for which $3$ -fold correlations decay exponentially for Lipschitz continuous observables. Suppose that $(M_{k})$ is a sequence…