Bernoulli

  • Bernoulli
  • Volume 12, Number 1 (2006), 101-111.

The reversible nearest particle system on a finite interval

Dayue Chen, Juxin Liu, and Fuxi Zhang

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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.

Article information

Source
Bernoulli, Volume 12, Number 1 (2006), 101-111.

Dates
First available in Project Euclid: 28 February 2006

Permanent link to this document
https://projecteuclid.org/euclid.bj/1141136651

Mathematical Reviews number (MathSciNet)
MR2202323

Zentralblatt MATH identifier
1101.60077

Keywords
first hitting time nearest particle system

Citation

Chen, Dayue; Liu, Juxin; Zhang, Fuxi. The reversible nearest particle system on a finite interval. Bernoulli 12 (2006), no. 1, 101--111. https://projecteuclid.org/euclid.bj/1141136651


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