Add to ORKGCritical and near-critical percolation is well-understood in dimension 2 and in high dimensions. The behaviour in intermediate dimensions (in particular 3) is still largely not understood, but in recent years there was some progress in this field, with contributions by van den Berg, Cerf, Duminil-Copin, Tassion and others. We will survey this recent progress (and a few older but not sufficiently known results). Prerequisite: The Fortuinâ Kasteleynâ Ginibre (FKG) and van den Berg-Kesten (BK) inequalities.Non UBCUnreviewedAuthor affiliation: Weizmann InstituteFacult
We refine the method of our previous paper [2] which gave upper bounds for the critical probability ...
Abstract We conjecture an exact form for an universal ratio of four-point cluster connectivities in ...
We study nearest-neighbor percolation in dimensions $d\geq11$, and prove that it displays mean-field...
Critical and near-critical percolation is well-understood in dimension 2 and in high dimensions. The...
Critical and near-critical percolation is well-understood in dimension 2 and in high dimensions. The...
Using certain scaling relations for two-dimensional percolation, we study some global geometric prop...
It is natural to expect that there are only three possible types of scaling limits for the collectio...
© The Author(s) 2009. This article is published with open access at Springerlink.com Abstract It is ...
Many 2D critical lattice models are believed to have conformally invariant scal-ing limits. This bel...
A major breakthrough in percolation was the 1990 result by Hara and Slade proving mean-field behavio...
We look at seven critical exponents associated with two-dimensional oriented percolation. Scaling th...
ABSTRACT. We review some of the recent progress on the scaling limit of two-dimensional critical per...
We present a review of the recent progress on percolation scaling limits in two dimensions. In parti...
The understanding of site percolation on the triangular lattice progressed greatly in the last decad...
We derive a new lower bound p c ? 0:8107 for the critical value of Mandelbrot's dyadic fractal ...
We refine the method of our previous paper [2] which gave upper bounds for the critical probability ...
Abstract We conjecture an exact form for an universal ratio of four-point cluster connectivities in ...
We study nearest-neighbor percolation in dimensions $d\geq11$, and prove that it displays mean-field...
Critical and near-critical percolation is well-understood in dimension 2 and in high dimensions. The...
Critical and near-critical percolation is well-understood in dimension 2 and in high dimensions. The...
Using certain scaling relations for two-dimensional percolation, we study some global geometric prop...
It is natural to expect that there are only three possible types of scaling limits for the collectio...
© The Author(s) 2009. This article is published with open access at Springerlink.com Abstract It is ...
Many 2D critical lattice models are believed to have conformally invariant scal-ing limits. This bel...
A major breakthrough in percolation was the 1990 result by Hara and Slade proving mean-field behavio...
We look at seven critical exponents associated with two-dimensional oriented percolation. Scaling th...
ABSTRACT. We review some of the recent progress on the scaling limit of two-dimensional critical per...
We present a review of the recent progress on percolation scaling limits in two dimensions. In parti...
The understanding of site percolation on the triangular lattice progressed greatly in the last decad...
We derive a new lower bound p c ? 0:8107 for the critical value of Mandelbrot's dyadic fractal ...
We refine the method of our previous paper [2] which gave upper bounds for the critical probability ...
Abstract We conjecture an exact form for an universal ratio of four-point cluster connectivities in ...
We study nearest-neighbor percolation in dimensions $d\geq11$, and prove that it displays mean-field...