10 citations · 77 across the 32 of their papers we have counts for
27 papers · 1 filter
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…
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},…
New dimension bounds for sets
Simon Baker
In this paper we obtain new lower bounds for the upper box dimension of sets. As a corollary of our main result, we show that if is not a Liouville number and is a Lio…
Analogues of Khintchine's theorem for random attractors
Simon Baker, Sascha Troscheit
In this paper we study random iterated function systems. Our main result gives sufficient conditions for an analogue of a well known theorem due to Khintchine from Diophantine appr…