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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…
math.DS2023
Quantitative recurrence and the shrinking target problem for overlapping iterated function systems
Simon Baker, Henna Koivusalo
In this paper we study quantitative recurrence and the shrinking target problem for dynamical systems coming from overlapping iterated function systems. Such iterated function syst…