The Complete Convergence Theorem Holds for Contact Processes in a Random Environment on $Z^d\times Z^+$

Details The Complete Convergence Theorem Holds for Contact Processes in a Random Environment on $Z^d\times Z^+$ The Complete Convergence Theorem Holds for Contact Processes in a Random Environment on $Z^d\times Z^+$

2011-02-15

arxiv.org/abs/1102.3020v1

Mathematics

Probability

20 pages, 6 figures

Scientific paper

Consider the basic contact process in the following random environment on the
half space $Z^d\times Z^+$: the recovery rates are constant and the infection
rates are i.i.d. random variables. We show that the complete convergence
theorem holds for almost every environment. This result generalizes the result
for classical contact process in the half space case.

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