CONTINUIM TREE LIMIT FOR THE RANGE OF RANDOM WALKS ON REGULAR TREES

CONTINUIM TREE LIMIT FOR THE RANGE OF RANDOM WALKS ON REGULAR TREES

Random walks on trees have been intensively studied by many authors having different motivations coming from group theory, discrete potential theory, statistical mechanics or genetics. In this paper we a consider a problem in which the transition probabilities are not fixed: we study, near criticali...

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Veröffentlicht in:The Annals of probability 2005-11, Vol.33 (6), p.2212
1. Verfasser: Duquesne, Thomas
Format: Artikel
Sprache:eng
Schlagworte:
Random walk theory
Studies
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Zusammenfassung:Random walks on trees have been intensively studied by many authors having different motivations coming from group theory, discrete potential theory, statistical mechanics or genetics. In this paper we a consider a problem in which the transition probabilities are not fixed: we study, near criticality, transient random walks on the b-ary rooted tree.
ISSN:0091-1798
2168-894X