English

A three-series theorem on Lie groups

Probability 2014-12-30 v1

Abstract

We obtain a necessary and sufficient condition for the convergence of independent products on Lie groups, as a natural extension of Kolmogorov's three-series theorem. Application to independent random matrices is discussed.

Keywords

Cite

@article{arxiv.1412.7845,
  title  = {A three-series theorem on Lie groups},
  author = {Ming Liao},
  journal= {arXiv preprint arXiv:1412.7845},
  year   = {2014}
}
R2 v1 2026-06-22T07:43:54.438Z