Tuomas Sahlsten

activity

20242026

collaborators

5 papers

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.SP2026

Quantum Mixing for SchrÃ¶dinger eigenfunctions in Benjamini-Schramm limit

Kai Hippi, FÃ©lix Lequen, SÃ¸ren Mikkelsen +2

Let $- I^_{H} + V$ be the SchrÃ¶dinger operator on $H$ where $V \in L^{p} (H) \cap L^{\infty} (H)$ for some $p > 0$ . If $(X_{n})$ is a uniformly discrete s…

math.DS2026

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

GaÃ©tan Leclerc, Sampo Paukkonen, Tuomas Sahlsten

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.CA2025

Fourier transforms and iterated function systems

Tuomas Sahlsten

We discuss the problem of bounding the Fourier transforms of stationary measures of iterated function systems (IFSs) and how the pseudo-randomness of the IFS either due to arithmet…

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

Quantum Mixing for SchrÃ¶dinger eigenfunctions in Benjamini-Schramm limit

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

Fourier transforms and iterated function systems

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