On some generalized reinforced random walks on integers
Probability
2009-07-15 v2
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.
Cite
@article{arxiv.0803.1590,
title = {On some generalized reinforced random walks on integers},
author = {Olivier Raimond and Bruno Schapira},
journal= {arXiv preprint arXiv:0803.1590},
year = {2009}
}
Comments
to appear in EJP