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
Citation
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
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