Tuomas Sahlsten

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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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math.DS2026

Absolute continuity of projections and dimension conservation for self-similar sets and measures

Xiong Jin, Tuomas Sahlsten

Let $A \subset R^{d}$ , $d \geq 3$ , be the attractor of a self-similar IFS whose rotations generate a dense subgroup of $SO (d)$ . For every $1 \leq k < dim_{H} A$ …

math.DS2026

Quantitative Fourier decay for Patterson-Sullivan measures of dimension larger than $1/2$

Félix Lequen, Tuomas Sahlsten

We give an elementary proof of power Fourier decay for Patterson-Sullivan measures associated to convex co-compact Schottky groups of dimension $δ > \frac{1}{2}$ , obtaining the explicit…

Absolute continuity of projections and dimension conservation for self-similar sets and measures

Quantitative Fourier decay for Patterson-Sullivan measures of dimension larger than 1/2

Quantitative Fourier decay for Patterson-Sullivan measures of dimension larger than $1/2$