Multifractal analysis of measures arising from random substitutions
A Mitchell, A Rutar - Communications in Mathematical Physics, 2024 - Springer
We study regularity properties of frequency measures arising from random substitutions,
which are a generalisation of (deterministic) substitutions where the substituted image of …
which are a generalisation of (deterministic) substitutions where the substituted image of …
Topological mixing of random substitutions
We investigate topological mixing of compatible random substitutions. For primitive random
substitutions on two letters whose second eigenvalue is greater than one in modulus, we …
substitutions on two letters whose second eigenvalue is greater than one in modulus, we …
A classification of intrinsic ergodicity for recognisable random substitution systems
P Gohlke, A Mitchell - arXiv preprint arXiv:2411.06201, 2024 - arxiv.org
We study a class of dynamical systems generated by random substitutions, which contains
both intrinsically ergodic systems and instances with several measures of maximal entropy …
both intrinsically ergodic systems and instances with several measures of maximal entropy …
Rauzy fractals of random substitutions
We develop a theory of Rauzy fractals for random substitutions, which are a generalisation
of deterministic substitutions where the substituted image of a letter is determined by a …
of deterministic substitutions where the substituted image of a letter is determined by a …
Complexity of dynamical systems arising from random substitutions in one dimension
A Mitchell - 2023 - etheses.bham.ac.uk
This thesis is based on three papers the author wrote while a PhD student, which concern
different notions of complexity for dynamical systems arising from random substitutions …
different notions of complexity for dynamical systems arising from random substitutions …