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math.CA2023
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.DS2023
Spectral gaps and Fourier dimension for self-conformal sets with overlaps
Simon Baker, Tuomas Sahlsten
We prove a uniform spectral gap for complex transfer operators near the critical line associated to overlapping iterated function systems on the real line satisfying a Unifor…