Tuomas Sahlsten

activity

20112026

most citedFourier transform of self-affine measures

26 citations · 135 across the 26 of their papers we have counts for

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Showing 2013Show all

3 papers · 1 filter

math.DS2013★ 2 cited

Fourier transforms of Gibbs measures for the Gauss map

Thomas Jordan, Tuomas Sahlsten

We investigate under which conditions a given invariant measure $μ$ for the dynamical system defined by the Gauss map $x \mapsto 1/ x mod 1$ is a Rajchman measure with polynomially…

math.DS2013★ 5 cited

Structure of distributions generated by the scenery flow

Antti Käenmäki, Tuomas Sahlsten, Pablo Shmerkin

We expand the ergodic theory developed by Furstenberg and Hochman on dynamical systems that are obtained from magnifications of measures. We prove that any fractal distribution in…

math.DS2013

Scaling scenery of $(\times m, \times n)$ invariant measures

Andrew Ferguson, Jonathan Fraser, Tuomas Sahlsten

We study the scaling scenery and limit geometry of invariant measures for the non-conformal toral endomorphism $(x, y) \mapsto (m x mod 1, n y mod 1)$ that are Bernoulli measures for…

Fourier transforms of Gibbs measures for the Gauss map

Structure of distributions generated by the scenery flow

Scaling scenery of (×m,×n) invariant measures

Scaling scenery of $(\times m, \times n)$ invariant measures