We consider independent edge percolation models on Z, with edge occupation probabilities. We prove that oriented percolation occurs when beta > 1 provided p is chosen sufficiently close to 1, answering a question posed in Newman and Schulman (Commun. Math. Phys. 104: 547, 1986). The proof is based on multi-scale analysis
Percolation theory deals with forming of connected objects inside dis-ordered media. One of the poss...
We consider directed first-passage and last-passage percolation on the nonnegative lattice Z_+^d, d\...
Equip each point x of a homogeneous Poisson point process P on R with D-x edge stubs, where the D-x ...
We consider independent edge percolation models on Z, with edge occupation probabilities. We prove t...
We consider the following oriented percolation model of N×Zd: we equip N×Zd with the edge set {[(n,x...
In this article, we consider an anisotropic finite-range bond percolation model on Z(2). On each hor...
Grimmett\u27s random-orientation percolation is formulated as follows. The square lattice is used to...
International audienceWe give the first properties of independent Bernoulli percolation, for oriente...
ABSTRACT. Grimmett’s random-orientation percolation is formulated as follows. The square lattice is ...
Grimmett's random-orientation percolation is formulated as follows. The square lattice is used to ge...
We consider a percolation model which consists of oriented lines placed randomly on the plane. The l...
We show that one half is a lower bound for the critical probability of an oriented site percolation ...
We refine the method of our previous paper [2] which gave upper bounds for the critical probability ...
We consider an inhomogeneous oriented percolation model introduced by de Lima, Rolla and Valesin. In...
Conditioning i.i.d.\ bond percolation with retention parameter $p$ on a one-dimensional periodic lat...
Percolation theory deals with forming of connected objects inside dis-ordered media. One of the poss...
We consider directed first-passage and last-passage percolation on the nonnegative lattice Z_+^d, d\...
Equip each point x of a homogeneous Poisson point process P on R with D-x edge stubs, where the D-x ...
We consider independent edge percolation models on Z, with edge occupation probabilities. We prove t...
We consider the following oriented percolation model of N×Zd: we equip N×Zd with the edge set {[(n,x...
In this article, we consider an anisotropic finite-range bond percolation model on Z(2). On each hor...
Grimmett\u27s random-orientation percolation is formulated as follows. The square lattice is used to...
International audienceWe give the first properties of independent Bernoulli percolation, for oriente...
ABSTRACT. Grimmett’s random-orientation percolation is formulated as follows. The square lattice is ...
Grimmett's random-orientation percolation is formulated as follows. The square lattice is used to ge...
We consider a percolation model which consists of oriented lines placed randomly on the plane. The l...
We show that one half is a lower bound for the critical probability of an oriented site percolation ...
We refine the method of our previous paper [2] which gave upper bounds for the critical probability ...
We consider an inhomogeneous oriented percolation model introduced by de Lima, Rolla and Valesin. In...
Conditioning i.i.d.\ bond percolation with retention parameter $p$ on a one-dimensional periodic lat...
Percolation theory deals with forming of connected objects inside dis-ordered media. One of the poss...
We consider directed first-passage and last-passage percolation on the nonnegative lattice Z_+^d, d\...
Equip each point x of a homogeneous Poisson point process P on R with D-x edge stubs, where the D-x ...
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