It is well-known in percolation theory (and intuitively plausible) that two events of the form ``there is an open path from $s$ to $a$' are positively correlated. We prove the (not intuitively obvious) fact that this is still true if we condition on an event of the form ``there is no open path from $s$ to $t$'
We address the problem of link reciprocity, the nonrandom presence of two mutual links between pairs...
We give upper bounds for the probability that a random word of a given length contains at least one ...
Abstract. We study random graphs, both G(n, p) and G(n,m), with random orien-tations on the edges. F...
It is well-known in percolation theory (and intuitively plausible) that two events of the form ``the...
Consider ordinary bond percolation on a finite or countably infinite graph. Let s, t, a and b be ver...
We study the effect of positive correlations on the critical threshold of site and bond percolation ...
We prove that in a random tournament the events $\{s\rightarrow a\}$ (meaning that there is a direct...
Abstract. Consider a randomly oriented graph G = (V, E) and let a, s and b be three distinct vertice...
AbstractLet v(A) be the extinction probability for a contact process on a countable set S with initi...
International audienceA useful result about leftmost and rightmost paths in two dimensional bond per...
For a natural number k, define an oriented site percolation on ℤ2 as follows. Let xi, yj be independ...
Recently van den Berg and Kesten have obtained a correlation-like inequality for Bernoulli sequences...
AbstractA well-known inequality due to Harris and Kleitman [T.E. Harris, A lower bound for the criti...
\u3cp\u3eWe prove results for first-passage percolation on the configuration model with degrees havi...
Consider critical site percolation on Zd with d ≥ 2. We prove a lower bound of order n-d 2 for point...
We address the problem of link reciprocity, the nonrandom presence of two mutual links between pairs...
We give upper bounds for the probability that a random word of a given length contains at least one ...
Abstract. We study random graphs, both G(n, p) and G(n,m), with random orien-tations on the edges. F...
It is well-known in percolation theory (and intuitively plausible) that two events of the form ``the...
Consider ordinary bond percolation on a finite or countably infinite graph. Let s, t, a and b be ver...
We study the effect of positive correlations on the critical threshold of site and bond percolation ...
We prove that in a random tournament the events $\{s\rightarrow a\}$ (meaning that there is a direct...
Abstract. Consider a randomly oriented graph G = (V, E) and let a, s and b be three distinct vertice...
AbstractLet v(A) be the extinction probability for a contact process on a countable set S with initi...
International audienceA useful result about leftmost and rightmost paths in two dimensional bond per...
For a natural number k, define an oriented site percolation on ℤ2 as follows. Let xi, yj be independ...
Recently van den Berg and Kesten have obtained a correlation-like inequality for Bernoulli sequences...
AbstractA well-known inequality due to Harris and Kleitman [T.E. Harris, A lower bound for the criti...
\u3cp\u3eWe prove results for first-passage percolation on the configuration model with degrees havi...
Consider critical site percolation on Zd with d ≥ 2. We prove a lower bound of order n-d 2 for point...
We address the problem of link reciprocity, the nonrandom presence of two mutual links between pairs...
We give upper bounds for the probability that a random word of a given length contains at least one ...
Abstract. We study random graphs, both G(n, p) and G(n,m), with random orien-tations on the edges. F...
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