Intersection spaces and multiple transverse recurrence
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.
| Zugehörige Institution(en) am KIT | Institut für Algebra und Geometrie (IAG) |
| Publikationstyp | Zeitschriftenaufsatz |
| Publikationsmonat/-jahr | 09.2025 |
| Sprache | Englisch |
| Identifikator | ISSN: 0021-7670, 1565-8538 KITopen-ID: 1000187898 |
| Erschienen in | Journal d'Analyse Mathématique |
| Verlag | Hebrew University Magnes Press |
| Band | 156 |
| Heft | 1 |
| Seiten | 97–150 |
| Vorab online veröffentlicht am | 13.07.2025 |
| Nachgewiesen in | Web of Science OpenAlex Dimensions Scopus |