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A Metastable Result for the Finite Multidimensional Contact Process

Published online by Cambridge University Press:  20 November 2018

T. S. Mountford
T. S. Mountford*
Affiliation:
T. S. Mountford Department of Mathematics University of California Los Angeles, California 90024 U.S.A.
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Abstract

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We prove that for a contact process restricted to the cube [1,n]d and initially fully occupied, the time to die out, when it is suitably normalized, converges to an exponential random variable as n tends to infinity.

Keywords

60K35contact processmetastability
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 36 , Issue 2 , 01 June 1993 , pp. 216 - 226
Copyright
Copyright © Canadian Mathematical Society 1993

References

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