We study various aspects of periodic points for random substitution subshifts. In order to do
so, we introduce a new property for random substitutions called the disjoint images …

Inspired by a series of papers initiated in 2015 by Berthé et al., we introduce a new condition
called suffix-connectedness. We show that the groups generated by the return sets of a …

The landmark discovery of X-ray diffraction by von Laue and his collaborators in 1912
[FKvL12] revolutionised the state of non-contact characterisation methods of materials. In …

Diagonal lines in symbolic recurrence plots are closely related to the identification and
characterization of specific biprolongable words within a sequence. In this paper we focus …

Full article: Artwork based on automatic sequences Skip to Main Content Taylor and Francis
Online homepage Browse Search Publish Login | Register Log in or Register Login Register …

This thesis aims to shed some light on the structure of maximal subgroups of free profinite
monoids corresponding to minimal shift spaces. These groups, which came to be known as …

We consider Benjamini-Schramm limits of Rauzy Graphs of low-complexity words. Low-
complexity words are infinite words (over a finite alphabet), for which the number of …

We look at symbolic substitutions and their relationship to Bratteli diagrams and their
associated operator algebras. In particular, we consider the equivalence relation on …

Abstract (summary) In this thesis, we shall look at symbolic dynamical systems and operator
algebras that are associated with these systems. We shall focus on minimal shift dynamical …

This thesis is chiefly concerned with the continuous spectra of substitution-based
sequences. First, motivated by a question of Lafrance, Yee and Rampersad [34], we …