Bernoulli

  • Bernoulli
  • Volume 7, Number 6 (2001), 935-950.

Blocking measures for asymmetric exclusion processes via coupling

Pablo A. Ferrari, Joel L. Lebowitz, and Eugene Speer

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Abstract

We give sufficient conditions on the rates of two asymmetric exclusion processes such that the existence of an invariant blocking measure for the first implies the existence of such a measure for the second. The main tool is a coupling between the two processes under which the first dominates the second in an appropriate sense. In an appendix we construct a class of processes for which the existence of a blocking measure can be proven directly; these are candidates for comparison processes in applications of the main result.

Article information

Source
Bernoulli, Volume 7, Number 6 (2001), 935-950.

Dates
First available in Project Euclid: 10 March 2004

Permanent link to this document
https://projecteuclid.org/euclid.bj/1078951130

Mathematical Reviews number (MathSciNet)
MR1873836

Zentralblatt MATH identifier
1002.60100

Keywords
asymmetric exclusion processes coupling invariant blocking measure

Citation

Ferrari, Pablo A.; Lebowitz, Joel L.; Speer, Eugene. Blocking measures for asymmetric exclusion processes via coupling. Bernoulli 7 (2001), no. 6, 935--950. https://projecteuclid.org/euclid.bj/1078951130


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