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Excited Random Walk

   
@article{ECP1072,
	author = {Itai Benjamini and David Wilson},
	title = {Excited Random Walk},
	journal = {Electron. Commun. Probab.},
	fjournal = {Electronic Communications in Probability},
	volume = {8},
	year = {2003},
	keywords = {Perturbed random walk, transience},
	abstract = {A random walk on $\mathbb{Z}^d$ is excited if the first time it visits a vertex there is a bias in one direction, but on subsequent visits to that vertex the walker picks a neighbor uniformly at random. We show that excited random walk on $\mathbb{Z}^d$ is transient iff $d > 1$.},
	pages = {no. 9, 86-92},
	issn = {1083-589X},
	doi = {10.1214/ECP.v8-1072},    
        url = {http://ecp.ejpecp.org/article/view/1072}}