arXiv:math/0611127 Abstract

arXiv:math/0611127 [math.PR]Abstract References Reviews Resources

Some Estimates for Planar Random Walk and Brownian Motion

Published 2006-11-06Version 1

The purpose of this note is to collect in one place a few results about simple random walk and Brownian motion which are often useful. These include standard results such as Beurling estimates, large deviation estimates, and a method for coupling the two processes, as well as solutions to the discrete Dirichlet problem in various domains which, to the author's knowledge, have not been published anywhere. The main focus is on the two-dimensional processes.

Comments: 18 pages, 2 figures

Categories: math.PR

Subjects: 60G50, 60J65

Keywords: planar random walk, brownian motion, discrete dirichlet problem, simple random walk, large deviation estimates

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