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arXiv · 2201.02096

A view on multiple recurrence

Tanja Eisner
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Abstract

In this note we present a proof of multiple recurrence for ergodic systems (and thereby of Szemer\'edi's theorem) being a mixture of three known proofs. It is based on a conditional version of the Jacobs-de Leeuw-Glicksberg decomposition and properties of the Gowers-Host-Kra uniformity seminorms.

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Tanja Eisner. 2022-01-06. A view on multiple recurrence. https://arxiv.org/abs/2201.02096

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