Activities This Week
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BGU Probability and Ergodic Theory (PET) seminar
Fourier decay for smooth images of self-similar measures
Jun 22, 11:10—12:00, 2023, -101
Speaker
Amir Algom (University of Haifa)
Abstract
Kaufman (1984) and later Mosquera-Shmerkin (2018) showed that Bernoulli convolutions exhibit fast Fourier decay when perturbed by a smooth non-linear map. This is remarkable, since by a classical Theorem of Erdos (1939) many Bernoulli convolutions don’t have Fourier decay at all. We will present an extension of this result to all self-similar measures: Any smooth non-linear perturbation of a self-similar measure enjoys fast (polynomial) Fourier decay. Joint with Yuanyang Chang, Meng Wu, and Yu-Liang Wu.