How to cite item

Random Walk Attracted by Percolation Clusters

   
@article{ECP1167,
	author = {Serguei Popov and Marina Vachkovskaia},
	title = {Random Walk  Attracted by Percolation Clusters},
	journal = {Electron. Commun. Probab.},
	fjournal = {Electronic Communications in Probability},
	volume = {10},
	year = {2005},
	keywords = {},
	abstract = {Starting with a percolation model in $\mathbb{Z}^d$ in the subcritical regime,  we consider a random walk described as follows: the probability of  transition from $x$ to $y$ is proportional to some function $f$ of  the size of the cluster of $y$. This function is supposed to be increasing,  so that the random walk is attracted by bigger clusters. For $f(t)=e^{\beta t}$  we prove that there is a phase transition in $\beta$, i.e., the random walk  is subdiffusive for large $\beta$ and is diffusive for small $\beta$.},
	pages = {no. 27, 263-272},
	issn = {1083-589X},
	doi = {10.1214/ECP.v10-1167},    
        url = {http://ecp.ejpecp.org/article/view/1167}}