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June, 1978 On Hitting Probabilities for an Annihilating Particle Model
Diane Schwartz
Ann. Probab. 6(3): 398-403 (June, 1978). DOI: 10.1214/aop/1176995526


Erdos and Ney introduced a discrete time annihilating particle model on the integer lattice and conjectured that, starting from an initial state of a particle at each lattice site except the origin, the probability a particle ever hits the origin is 1. This paper proves this conjecture for the continuous time version of their model.


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Diane Schwartz. "On Hitting Probabilities for an Annihilating Particle Model." Ann. Probab. 6 (3) 398 - 403, June, 1978.


Published: June, 1978
First available in Project Euclid: 19 April 2007

zbMATH: 0404.60098
MathSciNet: MR494573
Digital Object Identifier: 10.1214/aop/1176995526

Primary: 60K35

Keywords: annihilation , interacting particle systems

Rights: Copyright © 1978 Institute of Mathematical Statistics

Vol.6 • No. 3 • June, 1978
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