On some generalized reinforced random walks on integers

Details On some generalized reinforced random walks on integers On some generalized reinforced random walks on integers

2008-03-11

arxiv.org/abs/0803.1590v2

Mathematics

Probability

to appear in EJP

Scientific paper

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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