Limit theorems for reinforced random walks on certain trees
type: Item
instance of: scholarly article
title: Limit theorems for reinforced random walks on certain trees
zbMATH Open document ID: 1109.60027
author: Andrea Collevecchio
publication date: 2006-09-12T00:00:00Z
review text: The author studies limit theorems for reinforced random walks on certain trees. For instance, in case \(X\) is any process on the \(b\)-ary tree and \(L(\nu,k)\) is the number of times \(X\) jumped from \(\nu\) to one of its children or vice versa, by time \(k\), then the strong law is proved by putting a bound condition on \(L(\rho,T_n)\), where \(T_n= \text{inf}\{k:|X_\mu|= n\}\).
Mathematics Subject Classification ID: 60F15
Mathematics Subject Classification ID: 05C05
Mathematics Subject Classification ID: 60F05
Mathematics Subject Classification ID: 60G50
zbMATH DE Number: 5053078
reviewed by: Sophia L. Kalpazidou
MaRDI profile type: Publication
full work available at URL: s00440-005-0476-x
OpenAlex ID: W1981307109
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DOI: 10.1007/S00440-005-0476-X
published in: Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete
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