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Inclusion-exclusion methods for treating annihilating and deposition processes

Part of: Special processes

Published online by Cambridge University Press:  14 July 2016

Aidan Sudbury
Aidan Sudbury*
Affiliation:
Monash University
*
∗ Postal address: School of Mathematical Sciences, Monash University, PO Box 28M, Victoria, 3800, Australia. Email address: aidan.sudbury@sci.monash.edu.au
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Abstract

We consider one-dimensional processes in which particles annihilate their neighbours, grow until they meet their neighbours or are deposited onto surfaces. All of the models considered have the property that they are connected to exponential series often by an inclusion-exclusion argument.

Keywords

Annihilationadsorptioninteracting particles

MSC classification

Primary: 60K35: Interacting random processes; statistical mechanics type models; percolation theory
Type
Research Papers
Information
Journal of Applied Probability , Volume 39 , Issue 3 , September 2002 , pp. 466 - 478
Copyright
Copyright © Applied Probability Trust 2002 

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