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.DS2025
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=…
math.DS2025
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…