IJPAM: Volume 99, No. 3 (2015)
COLAESCING RANDOM WALKS
Department of Mathematics
P.O. Box 50927, Riyadh, 11533, SAUDI ARABIA
Abstract. We study the density of the process of coalescing random walks starting from at time 0, where the random walk kernel associated to this model has finite second moment. It is shown that the density equals the survival probability of voter model with the initial condition being all 0's except for a single 1 at the origin and it converges to .
Received: November 10, 2014
AMS Subject Classification: 60G05, 60G40, 60A10
Key Words and Phrases: random walk, coalescing random walks, Voter model
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DOI: 10.12732/ijpam.v99i3.8 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Pages: 325 - 341