Simon Baker

activity

20142023

most citedOn the distribution of powers of real numbers modulo 1

7 citations · 7 across the 7 of their papers we have counts for

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3 papers · 1 filter

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 $C^{2}$ iterated function systems on the real line satisfying a Unifor…

math.DS2019

Two bifurcation sets arising from the beta transformation with a hole at $0$

Simon Baker, Derong Kong

Given $β \in (1, 2],$ the $β$ -transformation $T_{β} : x \mapsto β x (mod 1)$ on the circle $[0, 1)$ with a hole $[0, t)$ was investigated by Kalle et al.~(2019). They described the set-valu…

math.DS2014

On univoque points for self-similar sets

Simon Baker, Karma Dajani, Kan Jiang

Let $K \subseteq R$ be the unique attractor of an iterated function system. We consider the case where $K$ is an interval and study those elements of $K$ with a unique codin…

Spectral gaps and Fourier dimension for self-conformal sets with overlaps

Two bifurcation sets arising from the beta transformation with a hole at 0

On univoque points for self-similar sets

Two bifurcation sets arising from the beta transformation with a hole at $0$