5 papers
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…
On a family of singular potentials: Parameter dependence of thermodynamic characteristics
Philipp Gohlke, Georgios Lamprinakis, Jörg Schmeling
We consider the family of singular potentials , over the doubling map and we examine the dependence of several thermodynamic and m…
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…
Generalized Thue-Morse measures: spectral and fractal analysis
Philipp Gohlke, Marc Kesseböhmer, Tanja I. Schindler
We investigate a family of Riesz products and show that they can be regarded as diffraction measures of generalized Thue-Morse sequences, possibly over an infinite alphabet. These…
Orbit separation dimension as complexity measure for primitive inflation tilings
Michael Baake, Franz Gähler, Philipp Gohlke
Orbit separation dimension (OSD), previously introduced as amorphic complexity, is a powerful complexity measure for topological dynamical systems with pure-point spectrum. Here, w…