Equidistribution in 2‐nilpotent Polish groups and triple restricted sumsets
Abstract
Abstract The aim of this paper is to establish a Ratner‐type equidistribution theorem for orbits on homogeneous spaces associated with ‐nilpotent locally compact Polish groups under the action of a countable discrete abelian group. We apply this result to establish the existence of triple restricted sumsets in subsets of positive density in arbitrary countable discrete abelian groups, subject to a necessary finiteness condition.
Fields of Study & Subjects
Limits and Structures in Graph Theory
Advanced Topology and Set Theory
Advanced Operator Algebra Research
Publication details
- Journal / source
- Journal of the London Mathematical Society
- Volume
- 114
- Issue
- 3
- Publication date
- 1 September 2026
- Language
- EN