Quantitative expansivity for ergodic \(\mathbb{Z}^d\) actions

We study expansiveness properties of positive measure subsets of ergodic \(\mathbb{Z}^d\)-actions along two different types of structured subsets of \(\mathbb{Z}^d\), namely, cyclic subgroups and images of integer polynomials. We prove quantitative expansiveness properties in both cases and strength...

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Veröffentlicht in:	arXiv.org 2024-09
Hauptverfasser:	Fish, Alexander, Skinner, Sean
Format:	Artikel
Sprache:	eng
Schlagworte:	Combinatorial analysis Polynomials Set theory Subgroups
Online-Zugang:	Volltext
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