English

L^1 Ergodic Theorems for Random Group Averages

Dynamical Systems 2008-12-17 v4

Abstract

This is an earlier, but more general, version of "An L^1 Ergodic Theorem for Sparse Random Subsequences". We prove an L^1 ergodic theorem for averages defined by independent random selector variables, in a setting of general measure-preserving group actions. A far more readable version of this paper is in the works.

Keywords

Cite

@article{arxiv.0808.0525,
  title  = {L^1 Ergodic Theorems for Random Group Averages},
  author = {Patrick LaVictoire},
  journal= {arXiv preprint arXiv:0808.0525},
  year   = {2008}
}

Comments

LaTeX, 16 pages; removed erroneous application

R2 v1 2026-06-21T11:07:29.762Z