Rate of Decay of Concentration Functions on Discrete Groups

Research output: Contribution to journalArticle

3 Scopus citations

Abstract

Given an irreducible probability measure μ on a non-compact locally compact group G, it is known that the concentration functions associated with μ converge to zero. In this note the rate of this convergence is presented in the case where G is a non-locally finite discrete group. In particular it is shown that if the volume growth V(m) of G satisfies V(m) ≥ cm D then for any compact set K we have sup gεGμ (n)(Kg) ≤ Cn -D/2.

Original languageEnglish (US)
Pages (from-to)391-399
Number of pages9
JournalJournal of Theoretical Probability
Volume16
Issue number2
DOIs
StatePublished - Apr 1 2003

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Mathematics(all)
  • Statistics, Probability and Uncertainty

Fingerprint Dive into the research topics of 'Rate of Decay of Concentration Functions on Discrete Groups'. Together they form a unique fingerprint.

  • Cite this