1 citations · 1 across the 5 of their papers we have counts for
5 papers
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…
Diffraction of the Hat and Spectre tilings and some of their relatives
Michael Baake, Franz Gähler, Jan Mazáč +1
The diffraction spectra of the Hat and Spectre monotile tilings, which are known to be pure point, are derived and computed explicitly. This is done via model set representatives o…
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…
Committor guided estimates of molecular transition rates
Andrew R. Mitchell, Grant M. Rotskoff
The probability that a configuration of a physical system reacts, or transitions from one metastable state to another, is quantified by the committor function. This function contai…
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…