Tomas Persson

activity

20102015

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

5 citations · 5 across the 4 of their papers we have counts for

collaborators

4 papers

math.CA2015★ 5 cited

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

Tomas Persson

Minkowski's question mark function is strictly increasing on $[0, 1]$ and hence defines a Stieltjes measure on $[0, 1]$ . A problem originating from Salem in 1943, is to determine w…

math.CA2014

Another Proof of a Lemma by L. Shepp

Tomas Persson

We give a new proof of a lemma by L. Shepp, that was used in connection to random coverings of a circle.

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…