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October, 1974 Some Problems on Random Intervals and Annihilating Particles
P. Erdos, P. Ney
Ann. Probab. 2(5): 828-839 (October, 1974). DOI: 10.1214/aop/1176996551

Abstract

Particles perform independent random walks on the integers, and are annihilated if they cross paths or land at the same point. The problem is to determine whether the origin is hit infinitely often. The answer is shown to depend on the initial distribution of particles in accordance with a "log log law." Several equivalent models are mentioned.

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P. Erdos. P. Ney. "Some Problems on Random Intervals and Annihilating Particles." Ann. Probab. 2 (5) 828 - 839, October, 1974. https://doi.org/10.1214/aop/1176996551

Information

Published: October, 1974
First available in Project Euclid: 19 April 2007

zbMATH: 0297.60052
MathSciNet: MR373068
Digital Object Identifier: 10.1214/aop/1176996551

Subjects:
Primary: 60K35
Secondary: 60C05

Keywords: combinatorial probability , interacting particle processes , random intervals , Random walk

Rights: Copyright © 1974 Institute of Mathematical Statistics

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Vol.2 • No. 5 • October, 1974
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