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Classification on the average of random walks

2001/04/26 by Daniela Bertacchi, Bertacchi, Daniela, Fabio Zucca +1
Mathematics · #60G50 #82B41 #FOS: Mathematics #Functional Analysis (math.FA) #Probability (math.PR) #math.FA #math.PR #msc:60G50 #msc:82B41

paper · pdf · doi:10.48550/arxiv.math/0104252

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

arxiv created 2002/03/14 · arxiv updated 2009/11/30

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.

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