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