Gaussian estimates for spatially inhomogeneous random walks on Zd

Gaussian estimates for spatially inhomogeneous random walks on Z^d

Sami Mustapha

Source: Ann. Probab. Volume 34, Number 1 (2006), 264-283.

Abstract

It is shown in this paper that the transition kernel corresponding to a spatially inhomogeneous random walk on Z^d admits upper and lower Gaussian estimates.

First Page: Show

Primary Subjects: 60J10, 60J35

Secondary Subjects: 60J45, 31C20

Keywords: Markov chains; transition kernels; Gaussian estimates; discrete potential theory

Full-text: Open access

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Permanent link to this document: http://projecteuclid.org/euclid.aop/1140191538
Digital Object Identifier: doi:10.1214/009117905000000440
Mathematical Reviews number (MathSciNet): MR2206348

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