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On some generalized reinforced random walk on integers

   
@article{EJP685,
	author = {Olivier Raimond and Bruno Schapira},
	title = {On some generalized reinforced random walk on integers},
	journal = {Electron. J. Probab.},
	fjournal = {Electronic Journal of Probability},
	volume = {14},
	year = {2009},
	keywords = {Reinforced random walks, urn processes},
	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},
	pages = {no. 60, 1770-1789},
	issn = {1083-6489},
	doi = {10.1214/EJP.v14-685},    
        url = {http://ejp.ejpecp.org/article/view/685}}