Intersection spaces and multiple transverse recurrence
Dynamical Systems
2021-08-23 v1 Group Theory
Abstract
We study multiple recurrence properties along separated cross sections for pmp actions of unimodular lcsc group on Polish spaces. We establish a multiple transverse recurrence theorem under the assumption that sufficiently large powers of the return time set are Delone sets. Typical examples of such situations arise from the theory of uniform approximate lattices.
Cite
@article{arxiv.2108.09064,
title = {Intersection spaces and multiple transverse recurrence},
author = {Michael Björklund and Tobias Hartnick and Yakov Karasik},
journal= {arXiv preprint arXiv:2108.09064},
year = {2021}
}
Comments
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