Dayue Chen, Juxin Liu, Fuxi Zhang
Published 2005-03-21Version 1
In this paper we study a one-parameter family of attractive reversible nearest particle system on a finite interval. As the length of the interval increases, the time that the nearest particle system first hits the empty set increases in different order, from logarithmic to exponential, according to the intensity of interaction. In particular, at the critical case, the first hitting time increases in a polynomial order.
On the exit from a finite interval for the risk processes with stochastic premiums
Metastability for the contact process with two types of particles and priorities
Time-dependent queue length distribution in queues fed by $K$ customers in a finite interval
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