Gaussian estimates for spatially inhomogeneous random walks on Zd

Sami Mustapha

doi:10.1214/009117905000000440

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Home > Journals > Ann. Probab. > Volume 34 > Issue 1 > Article

January 2006 Gaussian estimates for spatially inhomogeneous random walks on Z^d

Sami Mustapha

Ann. Probab. 34(1): 264-283 (January 2006). DOI: 10.1214/009117905000000440

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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.

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Sami Mustapha. "Gaussian estimates for spatially inhomogeneous random walks on Z^d." Ann. Probab. 34 (1) 264 - 283, January 2006. https://doi.org/10.1214/009117905000000440

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Published: January 2006

First available in Project Euclid: 17 February 2006

zbMATH: 1102.60062

MathSciNet: MR2206348

Digital Object Identifier: 10.1214/009117905000000440

Subjects:

Primary: 60J10 , 60J35

Secondary: 31C20 , 60J45

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

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Ann. Probab.

Vol.34 • No. 1 • January 2006

Institute of Mathematical Statistics

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Sami Mustapha "Gaussian estimates for spatially inhomogeneous random walks on Z^d," The Annals of Probability, Ann. Probab. 34(1), 264-283, (January 2006)

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