5 citations · 8 across the 3 of their papers we have counts for
4 papers
On word complexity and topological entropy of random substitution subshifts
Andrew Mitchell
We consider word complexity and topological entropy for random substitution subshifts. In contrast to previous work, we do not assume that the underlying random substitution is com…
Multifractal analysis of measures arising from random substitutions
Andrew Mitchell, Alex Rutar
We study regularity properties of frequency measures arising from random substitutions, which are a generalisation of (deterministic) substitutions where the substituted image of e…
Measure theoretic entropy of random substitution subshifts
Philipp Gohlke, Andrew Mitchell, Dan Rust +1
Subshifts of deterministic substitutions are ubiquitous objects in dynamical systems and aperiodic order (the mathematical theory of quasicrystals). Two of their most striking feat…
Coincidence and noncoincidence of dimensions in compact subsets of
Andrew Mitchell, Lars Olsen
We show that given any six numbers satisfying , it is possible to construct a compact subset of $[0,1]…