Simplices in large sets and directional expansion in ergodic actions
In this paper, we study ergodic $\mathbb {Z}^r$ -actions and investigate expansion properties along cyclic subgroups. We show that under some spectral conditions, there are always directions which expand significantly a given measurable set with positive measure. Among other things, we use thi...
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| Hauptverfasser: | , |
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| Format: | Artigo |
| Sprache: | Inglês |
| Veröffentlicht: |
Cambridge University Press
2024-01-01
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| Schriftenreihe: | Forum of Mathematics, Sigma |
| Schlagworte: | |
| Online-Zugang: | https://www.cambridge.org/core/product/identifier/S2050509424001257/type/journal_article |
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