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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…
The influence of the maximal summand on ergodic sums of non-integrable observables over rotations
Adam Kanigowski, Tanja I. Schindler
For being an irrational rotation of angle on the one torus and , we compare the behavior of the Birkhoff sum $S_N(ϕ)=\sum_{k=…
Trimmed ergodic sums for non-integrable functions with power singularities over irrational rotations
Max Auer, Tanja I. Schindler
Studying Birkhoff sums of non-integrable functions involves the challenge of large observations depending on the sampled orbit, which prevents pointwise limit theorems. To address…
Dynamical spectrum of power-free integers in quadratic number fields and beyond
Michael Baake, Daniel Luz, Tanja Schindler
Power-free integers and related lattice subsets give rise to interesting dynamical systems. They are revisited from a spectral perspective, in the setting of the Halmos--von Neuman…