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research article
Tightness for the interface of the one-dimensional contact process
2010
We consider a symmetric, finite-range contact process with two types of infection; both have the same (supercritical) infection rate and heal at rate 1, but sites infected by Infection I are immune to Infection 2. We take the initial configuration where sites in (-infinity, 0] have Infection I and sites in [1, infinity) have Infection 2, then consider the process rho(t) defined as the size of the interface area between the two infections at time t. We show that the distribution of rho(t) is tight, thus proving a conjecture posed by Cox and Durrett in [Bernoulli 1 (1995) 343-370].
Type
research article
Web of Science ID
WOS:000285533700001
Authors
Publication date
2010
Published in
Volume
16
Start page
909
End page
925
Subjects
Peer reviewed
REVIEWED
EPFL units
Available on Infoscience
December 16, 2011
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