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

8 papers

math.DS2026

Visiting time statistics

Maxim Kirsebom, Philipp Kunde, Tomas Persson

Many mixing dynamical systems $(X, T, μ)$ are known to satisfy the hitting time statistics result \[ \lim_{r \to 0} μ\{\, x : τ_{B(y,r)} (x) > t/μ(B(y,r))\,\} = e^{-t}, \] for $μ$ -al…

math.CA2026

Asymmetric uniqueness sets in $ℓ^{q}$

Adem Limani, Tomas Persson

We exhibit an asymmetry phenomenon for uniqueness sets in $ℓ^{q}$ . Specifically, we construct sets that do not support measures with $ℓ^{q}$ -summable Fourier coefficients, yet si…

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}^…

math.DS2024

On shrinking targets for linear expanding and hyperbolic toral endomorphisms

Zhang-nan Hu, Tomas Persson, Wanlou Wu +1

Let $A$ be an invertible $d \times d$ matrix with integer elements. Then $A$ determines a self-map $T$ of the $d$ -dimensional torus $T^{d} = R^{d} / Z^{d}$ . Given a…

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.DS2019★ 6 cited

On the fractional susceptibility function of piecewise expanding maps

M. Aspenberg, V. Baladi, J. Leppänen +1

We associate to a perturbation $(f_{t})$ of a (stably mixing) piecewise expanding unimodal map $f_{0}$ a two-variable fractional susceptibility function $Ψ_{ϕ} (η, z)$ , depending also on…

Visiting time statistics

Asymmetric uniqueness sets in ℓq

Almost sure orbits closeness

Strong Borel--Cantelli Lemmas for Recurrence

On recurrence sets for toral endomorphisms

On shrinking targets for linear expanding and hyperbolic toral endomorphisms

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

On the fractional susceptibility function of piecewise expanding maps

Asymmetric uniqueness sets in $ℓ^{q}$

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