S. Baker

activity

20122023

most citedUnique expansions and intersections of Cantor sets

10 citations · 77 across the 32 of their papers we have counts for

collaborators

Showing 2014 · math.DSShow all

3 papers · 2 filters

math.DS2014

Dynamical properties of S-gap shifts and other shift spaces

Simon Baker, Andrei E. Ghenciu

We study the dynamical properties of certain shift spaces. To help study these properties we introduce two new classes of shifts, namely boundedly supermultiplicative (BSM) shifts…

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…

math.DS2014

On the cardinality and complexity of the set of codings for self-similar sets with positive Lebesgue measure

Simon Baker

Let $λ_{1}, \dots, λ_{n}$ be real numbers in $(0, 1)$ and $p_{1}, \dots, p_{n}$ be points in $R^{d}$ . Consider the collection of maps $f_{j} : R^{d} \to R^{d}$ …