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Classification on the average of random walks

Daniela Bertacchi, Fabio Zucca

math.PRarXiv:math/0104252

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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