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math.DS2020★ 5 cited
Fourier transform and expanding maps on Cantor sets
Tuomas Sahlsten, Connor Stevens
We study the Fourier transforms of non-atomic Gibbs measures for uniformly expanding maps of bounded distortions on or Cantor sets with strong separa…
math.SP2020★ 2 cited
Quantum ergodicity for Eisenstein series on hyperbolic surfaces of large genus
Etienne Le Masson, Tuomas Sahlsten
We give a quantitative estimate for the quantum mean absolute deviation on hyperbolic surfaces of finite area in terms of geometric parameters such as the genus, number of cusps an…