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On Two-Dimensional Random Walk Among Heavy-Tailed Conductances

   
@article{EJP849,
	author = {Jiří Černý},
	title = {On Two-Dimensional Random Walk Among Heavy-Tailed Conductances},
	journal = {Electron. J. Probab.},
	fjournal = {Electronic Journal of Probability},
	volume = {16},
	year = {2011},
	keywords = {Random walk among random conductances; functional limit theorems; fractional kinetics; trap models},
	abstract = {We consider a random walk among unbounded random conductances on the two-dimensional integer lattice.  When the distribution of the  conductances has an infinite expectation and a polynomial tail, we show  that the scaling limit of this process is the fractional kinetics  process. This extends the results of the paper [BC10] where a  similar limit statement was proved in dimension larger than two. To make this  extension possible, we prove several estimates on the Green function of  the process killed on exiting large balls.},
	pages = {no. 10, 293-313},
	issn = {1083-6489},
	doi = {10.1214/EJP.v16-849},    
        url = {http://ejp.ejpecp.org/article/view/849}}