Degrees of transience and recurrence and hierarchical random walks

Details Degrees of transience and recurrence and hierarchical random walks Degrees of transience and recurrence and hierarchical random walks

2004-01-29

arxiv.org/abs/math/0401422v1

Mathematics

Probability

Scientific paper

The notion of degree and related notions concerning recurrence and transience for a class of L'evy processes on metric Abelian groups are studied. The case of random walks on a hierarchical group is examined with emphasis on the role of the ultrametric structure of the group and on analogies and differences with Euclidean random walks. Applications to separation of time scales and occupation times of multilevel branching systems are discussed.

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