Tomas Persson

activity

20102024

most citedOn a problem by R. Salem concerning Minkowski's question mark function

5 citations · 5 across the 6 of their papers we have counts for

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4 papers · 1 filter

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

Hausdorff dimension of recurrence sets

Zhang-nan Hu, Tomas Persson

We consider linear mappings on the $d$ -dimensional torus, defined by $T (x) = A x (mod 1)$ , where $A$ is an invertible $d \times d$ integer matrix, with no eigenvalues on the unit ci…

math.DS2014

On Shrinking Targets for Piecewise Expanding Interval Maps

Tomas Persson, Michał Rams

For a map $T : [0, 1] \to [0, 1]$ with an invariant measure $μ$ , we study, for a $μ$ -typical $x$ , the set of points $y$ such that the inequality $∣ T^{n} x - y ∣ < r_{n}$ is satisfied…

math.DS2010

Smooth Livsic regularity for piecewise expanding maps

Matthew Nicol, Tomas Persson

We consider the regularity of measurable solutions $χ$ to the cohomological equation \[ ϕ= χ\circ T -χ, \] where $(T, X, μ)$ is a dynamical system and $ϕ : X \to R$ is a…

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

Hausdorff dimension of recurrence sets

On Shrinking Targets for Piecewise Expanding Interval Maps

Smooth Livsic regularity for piecewise expanding maps

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