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Return Probabilities of a Simple Random Walk on Percolation Clusters

   
@article{EJP240,
	author = {Deborah Heicklen and Christopher Hoffman},
	title = {Return Probabilities of a Simple Random Walk on Percolation Clusters},
	journal = {Electron. J. Probab.},
	fjournal = {Electronic Journal of Probability},
	volume = {10},
	year = {2005},
	keywords = {},
	abstract = {We bound the probability that a continuous time simple random walk on the infinite percolation cluster on $Z^d$ returns to the origin at time $t$.  We use this result to show that in dimensions 5 and higher the uniform spanning forest  on infinite percolation clusters supported on graphs with infinitely many connected components a.s.},
	pages = {no. 8, 250-302},
	issn = {1083-6489},
	doi = {10.1214/EJP.v10-240},    
        url = {http://ejp.ejpecp.org/article/view/240}}