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Recurrence and transience of excited random walks on $Z^d$ and strips

   
@article{ECP1200,
	author = {Martin Zerner},
	title = {Recurrence and transience of excited random walks on $Z^d$ and strips},
	journal = {Electron. Commun. Probab.},
	fjournal = {Electronic Communications in Probability},
	volume = {11},
	year = {2006},
	keywords = {Excited Random Walk, Recurrence, Self-Interacting Random Walk, Transience},
	abstract = {We investigate excited random walks on $Z^d, d\ge 1,$ and on planar strips $Z\times{0,1,\ldots,L-1}$ which have a drift in a given direction. The strength of the drift may depend on a random i.i.d. environment and on the local time of the walk. We give exact criteria for recurrence and transience, thus generalizing results by Benjamini and Wilson for once-excited random walk on $Z^d$ and by the author for  multi-excited random walk on $Z$.},
	pages = {no. 12, 118-128},
	issn = {1083-589X},
	doi = {10.1214/ECP.v11-1200},    
        url = {http://ecp.ejpecp.org/article/view/1200}}