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arXiv · 1509.03901

Recurrence, rigidity, and popular differences

John T. Griesmer
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Abstract

We construct a set $S$ such that every translate of $S$ is a set of recurrence and a set of rigidity for a weak mixing measure preserving system. This construction generalizes or strengthens results of Katznelson, Saeki, Forrest, and Fayad and Kanigowski. The construction provides a density analogue of Julia Wolf's results on popular differences in finite abelian groups.

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John T. Griesmer. 2015-09-13. Recurrence, rigidity, and popular differences. https://doi.org/10.1017/etds.2017.71

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