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math.DS2025
The matrix potential game and structures of self-affine sets
Richard A. Howat, Andrew Mitchell, Tony Samuel
We present a new variant of the potential game and show that certain compact subsets of , including a large class of self-affine sets, are winning in our game. We pro…
math.DS2024
A classification of intrinsic ergodicity for recognisable random substitution systems
Philipp Gohlke, Andrew Mitchell
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. I…
math.DS2024
Rauzy fractals of random substitutions
Philipp Gohlke, Andrew Mitchell, Dan Rust +1
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…