Abstract
Let V be a finite subset of Zm. Estimates are obtained for the average probability that a simple random walk, starting at a point x in V, exits V before it returns to x. The average is taken over all points x in V.
Similar content being viewed by others
References
Bovier, A., den Hollander, F. and Nardi, F.R.: ‘Sharp asymptotics for Kawasaki dynamics on a finite box with open boundary’, Preprint, 2004.
Dynkin, E.B. and Yushkevich, A.A.: Markov Processes: Theorems and Problems, Plenum Press, New York, 1969.
Révész, P.: Random Walk in Random and Non-Random Environments, World Scientific, Singapore, 1990.
Spitzer, F.: Principles of Random Walk, D. van Nostrand Company Inc., Princeton, 1964.
Author information
Authors and Affiliations
Additional information
Mathematics Subject Classifications (2000)
60G50, 60J45
Rights and permissions
About this article
Cite this article
van den Berg, M. Exit and Return of a Simple Random Walk. Potential Anal 23, 45–53 (2005). https://doi.org/10.1007/s11118-004-3263-x
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/s11118-004-3263-x