26 citations · 135 across the 26 of their papers we have counts for
31 papers
Absolute continuity of projections and dimension conservation for self-similar sets and measures
Xiong Jin, Tuomas Sahlsten
Let , , be the attractor of a self-similar IFS whose rotations generate a dense subgroup of . For every …
Arbitrarily Fast Quantum Dispersion in Long-Range Crystals
Gaétan Leclerc, Mostafa Sabri, Tuomas Sahlsten
We construct the first examples of one-dimensional long-range crystals exhibiting arbitrarily fast polynomial dispersive bounds. The Floquet functions of our Hamiltonians are highl…
Quantitative Fourier decay for Patterson-Sullivan measures of dimension larger than
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 , obtaining the explicit…
Quantum Mixing for Schrödinger eigenfunctions in Benjamini-Schramm limit
Kai Hippi, Félix Lequen, Søren Mikkelsen +2
Let be a sequence of compact hyperbolic surfaces which is uniformly discrete and Benjamini-Schramm converges to and let $\{V_n\}_{n\in\mathb…
Fourier decay in parabolic systems with overlaps
Gaétan Leclerc, Sampo Paukkonen, Tuomas Sahlsten
We establish power Fourier decay for equilibrium states of parabolic iterated function systems with overlaps satisfying a multiscale nonlinearity condition. This class in…
Fourier Decay from -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…