13 citations · 46 across the 14 of their papers we have counts for
3 papers · 1 filter
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…
Spectral theory of regular sequences: parametrisation and spectral characterisation
Michael Coons, James Evans, Philipp Gohlke +1
We extend the existence of ghost measures beyond nonnegative primitive regular sequences to a large class of nonnegative real-valued regular sequences. In the general case, where t…
Fast dimension spectrum for a potential with a logarithmic singularity
Philipp Gohlke, Georgios Lamprinakis, Jörg Schmeling
We regard the classic Thue--Morse diffraction measure as an equilibrium measure for a potential function with a logarithmic singularity over the doubling map. Our focus is on unusu…