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Excited Random Walk on Trees

   
@article{EJP180,
	author = {Stanislav Volkov},
	title = {Excited Random Walk on Trees},
	journal = {Electron. J. Probab.},
	fjournal = {Electronic Journal of Probability},
	volume = {8},
	year = {2003},
	keywords = {},
	abstract = {We consider a nearest-neighbor stochastic process on a rooted tree $G$ which goes toward the root with probability $1-\varepsilon$  when it visits a vertex for the first time. At all other times it behaves like a simple random walk on $G$. We show that for all $\varepsilon\ge 0$ this process is transient. Also we consider a generalization of this process and establish its transience in  some cases.},
	pages = {no. 23, 1-15},
	issn = {1083-6489},
	doi = {10.1214/EJP.v8-180},    
        url = {http://ejp.ejpecp.org/article/view/180}}