- Journal Article
Rights / licenseCreative Commons Attribution 3.0 Unported
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. Show more
Journal / seriesElectronic Journal of Probability
Pages / Article No.
PublisherInstitute of Mathematical Statistics
SubjectRandom walk among random conductances; functional limit theorems; fractional kinetics; trap models
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