English

A note on concentration functions on transformation groups

Dynamical Systems 2014-08-18 v1

Abstract

In this note, we consider the concentration function problem for a continuous action of a locally compact group GG on a locally compact Hausdorff space XX. We prove a necessary and sufficient condition for the concentration functions of a spread-out irreducible probability measure μ\mu on GG to converge to zero.

Keywords

Cite

@article{arxiv.1408.3482,
  title  = {A note on concentration functions on transformation groups},
  author = {Mehrdad Kalantar and Mohammad S. M. Moakhar},
  journal= {arXiv preprint arXiv:1408.3482},
  year   = {2014}
}
R2 v1 2026-06-22T05:29:46.545Z