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2017 Note on a one-dimensional system of annihilating particles
Vladas Sidoravicius, Laurent Tournier
Electron. Commun. Probab. 22: 1-9 (2017). DOI: 10.1214/17-ECP83

Abstract

We consider a system of annihilating particles where particles start from the points of a Poisson process on either the full-line or positive half-line and move at constant i.i.d. speeds until collision. When two particles collide, they annihilate. We assume the law of speeds to be symmetric. We prove almost sure annihilation of positive-speed particles started from the positive half-line, and existence of a regime of survival of zero-speed particles on the full-line in the case when speeds can only take 3 values. We also state open questions.

Citation

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Vladas Sidoravicius. Laurent Tournier. "Note on a one-dimensional system of annihilating particles." Electron. Commun. Probab. 22 1 - 9, 2017. https://doi.org/10.1214/17-ECP83

Information

Received: 1 March 2017; Accepted: 29 August 2017; Published: 2017
First available in Project Euclid: 18 October 2017

zbMATH: 06797812
MathSciNet: MR3718709
Digital Object Identifier: 10.1214/17-ECP83

Subjects:
Primary: 60K35

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