10 citations · 77 across the 32 of their papers we have counts for
46 papers
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…
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…
Recurrence rates for shifts of finite type
Demi Allen, Simon Baker, Balázs Bárány
Let be a topologically mixing shift of finite type, let be the usual left-shift, and let be the Gibbs measure for a Hölder continuous potential that i…
Approximating elements of the middle third Cantor set with dyadic rationals
Simon Baker
Let be the middle third Cantor set and be the -dimensional Hausdorff measure restricted to . In this paper we study approximations of elements of…
A note on dyadic approximation in Cantor's set
Demi Allen, Simon Baker, Sam Chow +1
We consider the convergence theory for dyadic approximation in the middle-third Cantor set, , for approximation functions of the form (). In particular…
On normal numbers and self-similar measures
Simon Baker
In this paper we prove that if is an equicontractive iterated function system and is a positive integer satisfying $\frac{\log b}{\log |λ|}\notin\mathbb{Q},…