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2011 On Two-Dimensional Random Walk Among Heavy-Tailed Conductances
Jiří Černý
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Electron. J. Probab. 16: 293-313 (2011). DOI: 10.1214/EJP.v16-849

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.

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Jiří Černý. "On Two-Dimensional Random Walk Among Heavy-Tailed Conductances." Electron. J. Probab. 16 293 - 313, 2011. https://doi.org/10.1214/EJP.v16-849

Information

Accepted: 6 February 2011; Published: 2011
First available in Project Euclid: 1 June 2016

zbMATH: 1225.60055
MathSciNet: MR2771138
Digital Object Identifier: 10.1214/EJP.v16-849

Subjects:
Primary: 60F17
Secondary: 60K37, 82C41

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Vol.16 • 2011
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