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2009 On some generalized reinforced random walk on integers
Olivier Raimond, Bruno Schapira
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Electron. J. Probab. 14: 1770-1789 (2009). DOI: 10.1214/EJP.v14-685

Abstract

We consider Reinforced Random Walks where transitions probabilities are a function of the proportions of times the walk has traversed an edge. We give conditions for recurrence or transience. A phase transition is observed, similar to Pemantle [7] on trees

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Olivier Raimond. Bruno Schapira. "On some generalized reinforced random walk on integers." Electron. J. Probab. 14 1770 - 1789, 2009. https://doi.org/10.1214/EJP.v14-685

Information

Accepted: 24 August 2009; Published: 2009
First available in Project Euclid: 1 June 2016

zbMATH: 1196.60054
MathSciNet: MR2535013
Digital Object Identifier: 10.1214/EJP.v14-685

Subjects:
Primary: 60F20

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