AbstractLet v(A) be the extinction probability for a contact process on a countable set S with initial state A ⊂ S. We prove that for any sets A, B ⊂ S, ν(A∩B)ν(A∪B)⩾ν(A)ν(B).We also prove an analogous statement for oriented percolation
11 pInternational audienceRecently, by introducing the notion of cumulatively merged partition, M\'...
We study versions of the contact process with three states, and with infections occurring at a rate ...
We consider the contact process on finite and connected graphs and study the behavior of the extinct...
AbstractLet v(A) be the extinction probability for a contact process on a countable set S with initi...
Positive correlations for extinction probabilities in the contact process are used to obtain rigorou...
Consider ordinary bond percolation on a finite or countably infinite graph. Let s, t, a, and b be ve...
We consider the extinction time of the contact process on increasing sequences of finite graphs obta...
It is well-known in percolation theory (and intuitively plausible) that two events of the form ``the...
For ordinary (independent) percolation on a large class of lattices it is well known that below the ...
The three state contact process is the modification of the contact process at rate mu in which first...
We consider contact processes on the hierarchical group, where sites infect other sites at a rate de...
We consider critical spread-out oriented percolation above 4 + 1 dimensions. Our main result is that...
We consider the critical survival probability (up to timet) for oriented percolation and the contact...
In this paper we introduce a contact process in an evolving random environment (CPERE) on a connecte...
Liggett and Steif (2006) proved that, for the supercritical contact process on certain graphs, the u...
11 pInternational audienceRecently, by introducing the notion of cumulatively merged partition, M\'...
We study versions of the contact process with three states, and with infections occurring at a rate ...
We consider the contact process on finite and connected graphs and study the behavior of the extinct...
AbstractLet v(A) be the extinction probability for a contact process on a countable set S with initi...
Positive correlations for extinction probabilities in the contact process are used to obtain rigorou...
Consider ordinary bond percolation on a finite or countably infinite graph. Let s, t, a, and b be ve...
We consider the extinction time of the contact process on increasing sequences of finite graphs obta...
It is well-known in percolation theory (and intuitively plausible) that two events of the form ``the...
For ordinary (independent) percolation on a large class of lattices it is well known that below the ...
The three state contact process is the modification of the contact process at rate mu in which first...
We consider contact processes on the hierarchical group, where sites infect other sites at a rate de...
We consider critical spread-out oriented percolation above 4 + 1 dimensions. Our main result is that...
We consider the critical survival probability (up to timet) for oriented percolation and the contact...
In this paper we introduce a contact process in an evolving random environment (CPERE) on a connecte...
Liggett and Steif (2006) proved that, for the supercritical contact process on certain graphs, the u...
11 pInternational audienceRecently, by introducing the notion of cumulatively merged partition, M\'...
We study versions of the contact process with three states, and with infections occurring at a rate ...
We consider the contact process on finite and connected graphs and study the behavior of the extinct...
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