English

Classification on the average of random walks

Probability 2007-05-23 v2 Functional Analysis

Abstract

We introduce a new method for studying large scale properties of random walks. The new concepts of transience and recurrence on the average are compared with the ones introduced by R.Burioni, D.Cassi and A.Vezzani and with the usual ones; their relationships are analyzed and various examples are provided.

Keywords

Cite

@article{arxiv.math/0104252,
  title  = {Classification on the average of random walks},
  author = {Daniela Bertacchi and Fabio Zucca},
  journal= {arXiv preprint arXiv:math/0104252},
  year   = {2007}
}

Comments

Reduced number of pages to 28, added final paragraph of conclusions with some new results