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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


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.


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

Primary: 60F20

Keywords: reinforced random walks , urn processes

Vol.14 • 2009
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