3 papers
math.DS2025
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…
math.NT2023
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…
math.DS2023
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…