Gaussian estimates for spatially inhomogeneous random walks on ${\mathbf{Z}}^d$

Sami Mustapha

doi:10.1214/009117905000000440

Gaussian estimates for spatially inhomogeneous random walks on ${\mathbf{Z}}^d$

Probability 2007-05-23 v1

Authors: Sami Mustapha

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Abstract

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

Keywords

gaussian random fields random walk in random environment random walk on graphs

Cite

@article{arxiv.math/0602624,
  title  = {Gaussian estimates for spatially inhomogeneous random walks on ${\mathbf{Z}}^d$},
  author = {Sami Mustapha},
  journal= {arXiv preprint arXiv:math/0602624},
  year   = {2007}
}

Comments

Published at http://dx.doi.org/10.1214/009117905000000440 in the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)

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