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math.DS2026
Bohr sets in sumsets III: expanding difference sets and almost Bohr sets
Pierre-Yves Bienvenu, John T. Griesmer, Anh N. Le +1
Let be a discrete abelian group. Følner showed that if has positive upper Banach density, then contains an almost Bohr set -- a set of the form $B \set…
math.DS2026
A structure theorem for polynomial return-time sets in minimal systems
Daniel Glasscock, Andreas Koutsogiannis, Anh N. Le +3
We investigate the structure of return-time sets determined by orbits along polynomial tuples in minimal topological dynamical systems. Building on the topological characteristic f…
math.DS2024
Interpolation sets for dynamical systems
Andreas Koutsogiannis, Anh N. Le, Joel Moreira +2
Originating in harmonic analysis, interpolation sets were first studied in dynamics by Glasner and Weiss in the 1980s. A set is an interpolation set for a cl…