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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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I tiakina i:
Ngā taipitopito rārangi puna kōrero
Ngā kaituhi matua: Michael Björklund, Alexander Fish
Hōputu: Artigo
Reo:Inglês
I whakaputaina: Cambridge University Press 2024-01-01
Rangatū:Forum of Mathematics, Sigma
Ngā marau:
Urunga tuihono:https://www.cambridge.org/core/product/identifier/S2050509424001257/type/journal_article
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