Simon Baker

activity

20142024

most citedOn the distribution of powers of real numbers modulo 1

7 citations · 7 across the 9 of their papers we have counts for

collaborators

Showing 2023Show all

2 papers · 1 filter

math.DS2023

On the cardinality and dimension of the slices of Okamoto's functions

Simon Baker, George Bender

The graphs of Okamoto's functions, denoted by $K_{q}$ , are self-affine fractal curves contained in $[0, 1]^{2}$ , parameterised by $q \in (1, 2)$ . In this paper we consider the cardinalit…

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…