English

Recurrence of cocycles and stationary random walks

Dynamical Systems 2007-05-23 v1 Probability

Abstract

We survey distributional properties of Rd\mathbb{R}^d-valued cocycles of finite measure preserving ergodic transformations (or, equivalently, of stationary random walks in Rd\mathbb{R}^d) which determine recurrence or transience.

Keywords

Cite

@article{arxiv.math/0608221,
  title  = {Recurrence of cocycles and stationary random walks},
  author = {Klaus Schmidt},
  journal= {arXiv preprint arXiv:math/0608221},
  year   = {2007}
}

Comments

Published at http://dx.doi.org/10.1214/074921706000000112 in the IMS Lecture Notes--Monograph Series (http://www.imstat.org/publications/lecnotes.htm) by the Institute of Mathematical Statistics (http://www.imstat.org)