3 citations · 3 across the 2 of their papers we have counts for
5 papers
Spectral Characteristics of Schrödinger Operators Generated by Product Systems
David Damanik, Jake Fillman, Philipp Gohlke
We study ergodic Schrödinger operators defined over product dynamical systems in which one factor is periodic and the other factor is either a subshift over a finite alphabet or an…
Zero Measure Spectrum for Multi-Frequency Schrödinger Operators
Jon Chaika, David Damanik, Jake Fillman +1
Building on works of Berthé--Steiner--Thuswaldner and Fogg--Nous we show that on the two-dimensional torus, Lebesgue almost every translation admits a natural coding such that the…
Inflation word entropy for semi-compatible random substitutions
Philipp Gohlke
We introduce the concept of inflation word entropy for random substitutions with a constant and primitive substitution matrix. Previous calculations of the topological entropy of s…
Ergodic frequency measures for random substitutions
Philipp Gohlke, Timo Spindeler
We construct a family of ergodic measures on random substitution subshifts (RS-subshifts) associated to a primitive random substitution. In particular, the word frequencies of ever…
Scaling properties of the Thue--Morse measure
Michael Baake, Philipp Gohlke, Marc Kesseböhmer +1
The classic Thue--Morse measure is a paradigmatic example of a purely singular continuous probability measure on the unit interval. Since it has a representation as an infinite Rie…