Tuomas Sahlsten

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20242026

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math.DS2026

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

FÃ©lix 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 $I^´ > \frac{1}{2}$ , obtaining the explicit…

math.DS2026

Fourier decay in parabolic $C^{1 + I^\pm}$ systems with overlaps

We establish power Fourier decay for equilibrium states of parabolic $C^{1 + I^\pm}$ iterated function systems with overlaps satisfying a multiscale nonlinearity condition. This class i…

math.DS2024

Fourier Decay from $L^{2}$ -Flattening

Simon Baker, Osama Khalil, Tuomas Sahlsten

We develop a unified approach for establishing rates of decay for the Fourier transform of a wide class of dynamically defined measures. Among the key features of the method is the…

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

Fourier decay in parabolic C1+I^± systems with overlaps

Fourier Decay from L2-Flattening

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

Fourier decay in parabolic $C^{1 + I^\pm}$ systems with overlaps

Fourier Decay from $L^{2}$ -Flattening