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.
Authors
- Michael Björklund (ORCID: https://orcid.org/0000-0001-7607-9526)
- Tobias Hartnick (ORCID: https://orcid.org/0000-0003-1328-0470)
- Yakov Karasik
Institutions
- Karlsruhe Institute of Technology (DE)
- Technion – Israel Institute of Technology (IL)
- Chalmers University of Technology (SE)
Publication Details
- Journal
- Journal d Analyse Mathématique
- Published
- 2025-07-13
- DOI
- https://doi.org/10.1007/s11854-025-0377-0
- Citations
- 1
- Primary Topic
- Geometric and Algebraic Topology
- Type
- article
- Field-Weighted Citation Impact
- 4.09