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arXiv · 0803.1590

On some generalized reinforced random walks on integers

Olivier Raimond·Bruno Schapira
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Abstract

We consider Reinforced Random Walks where transition probabilities are a function of the proportion of times the walk has traversed an edge. We give conditions for recurrence or transience. A phase transition is observed, similar to Pemantle \cite{Pem000} on trees.

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Olivier Raimond, Bruno Schapira. 2009-07-15. On some generalized reinforced random walks on integers. https://arxiv.org/abs/0803.1590

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