Tuomas Sahlsten

most citedRandom walks associated to beta-shifts

3 citations · 3 across the 1 of their papers we have counts for

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math.DS2019★ 3 cited

Random walks associated to beta-shifts

Bing Li, Yao-Qiang Li, Tuomas Sahlsten

We study the dynamics of a simple random walk on subshifts defined by the beta transformation and apply it to find concrete formulae for the Hausdorff dimension of digit frequency…

math.DS2019

Entropy in uniformly quasiregular dynamics

Ilmari Kangasniemi, Yûsuke Okuyama, Pekka Pankka +1

Let $M$ be a closed, oriented, and connected Riemannian $n$ -manifold, for $n \geq 2$ , which is not a rational homology sphere. We show that, for a non-constant and non-injective unif…

math.DS2019

Fourier transform of self-affine measures

Jialun Li, Tuomas Sahlsten

Suppose $F$ is a self-affine set on $R^{d}$ , $d \geq 2$ , which is not a singleton, associated to affine contractions $f_{j} = A_{j} + b_{j}$ , $A_{j} \in GL (d, R)$ , $…