T. Persson

activity

20192026

most citedOn the fractional susceptibility function of piecewise expanding maps

6 citations · 6 across the 8 of their papers we have counts for

collaborators

Showing 2025Show all

3 papers · 1 filter

math.DS2025

Almost sure orbits closeness

Maxim Kirsebom, Philipp Kunde, Tomas Persson +1

We consider the minimal distance between orbits of measure preserving dynamical systems. In the spirit of dynamical shrinking target problems we identify distance rates for which a…

math.DS2025

Strong Borel--Cantelli Lemmas for Recurrence

Tomas Persson, Alejandro Rodriguez Sponheimer

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

math.DS2025

On recurrence sets for toral endomorphisms

Zhangnan Hu, Tomas Persson

Let $A$ be a $2 \times 2$ integral matrix with an eigenvalue of modulus strictly less than 1. Let $T$ be the natural endomorphism on the torus $\mathbb{T}^2=\mathbb{R}^2/\mathbb{Z}^…