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March 2012 Juggler's exclusion process
Lasse Leskelä, Harri Varpanen
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J. Appl. Probab. 49(1): 266-279 (March 2012). DOI: 10.1239/jap/1331216846

Abstract

Juggler's exclusion process describes a system of particles on the positiveintegers where particles drift down to zero at unit speed. After a particlehits zero, it jumps into a randomly chosen unoccupied site. We model the systemas a set-valued Markov process and show that the process is ergodic if thefamily of jump height distributions is uniformly integrable. In a special casewhere the particles jump according to a set-avoiding memoryless distribution,the process reaches its equilibrium in finite nonrandom time, and theequilibrium distribution can be represented as a Gibbs measure conforming to alinear gravitational potential.

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Lasse Leskelä. Harri Varpanen. "Juggler's exclusion process." J. Appl. Probab. 49 (1) 266 - 279, March 2012. https://doi.org/10.1239/jap/1331216846

Information

Published: March 2012
First available in Project Euclid: 8 March 2012

zbMATH: 1242.60103
MathSciNet: MR2952894
Digital Object Identifier: 10.1239/jap/1331216846

Subjects:
Primary: 60K35
Secondary: 82C41

Rights: Copyright © 2012 Applied Probability Trust

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Vol.49 • No. 1 • March 2012
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