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February 2006 The reversible nearest particle system on a finite interval
Dayue Chen, Juxin Liu, Fuxi Zhang
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Bernoulli 12(1): 101-111 (February 2006).

Abstract

We study a one-parameter family of attractive reversible nearest particle systems on a finite interval. As the length of the interval increases, the time at which the nearest particle system first hits the empty set increases from logarithmic to exponential depending on the intensity of interaction. In the critical case, the first hitting time is polynomial in the interval length.

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Dayue Chen. Juxin Liu. Fuxi Zhang. "The reversible nearest particle system on a finite interval." Bernoulli 12 (1) 101 - 111, February 2006.

Information

Published: February 2006
First available in Project Euclid: 28 February 2006

zbMATH: 1101.60077
MathSciNet: MR2202323

Rights: Copyright © 2006 Bernoulli Society for Mathematical Statistics and Probability

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Vol.12 • No. 1 • February 2006
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