The reversible nearest particle system on a finite interval
Chen, Dayue ; Liu, Juxin ; Zhang, Fuxi
Bernoulli, Tome 12 (2006) no. 2, p. 101-111 / Harvested from Project Euclid
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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.
Publié le : 2006-02-14
Classification:  first hitting time,  nearest particle system 
@article{1141136651,
     author = {Chen, Dayue and Liu, Juxin and Zhang, Fuxi},
     title = {The reversible nearest particle system on a finite interval},
     journal = {Bernoulli},
     volume = {12},
     number = {2},
     year = {2006},
     pages = { 101-111},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1141136651}
}

Chen, Dayue; Liu, Juxin; Zhang, Fuxi. The reversible nearest particle system on a finite interval. Bernoulli, Tome 12 (2006) no. 2, pp.  101-111. http://gdmltest.u-ga.fr/item/1141136651/