Add to ORKGWe look at seven critical exponents associated with two-dimensional oriented percolation. Scaling theory implies that these quantities atisfy four equalities. We prove five related inequalitites. KEY WORDS: Critical phenomena; scaling relations; critical exponents; correlation lengths; renormalized bond construction
We derive scaling laws for the percolation properties of an elongated lattice, i.e., those with dime...
Critical and near-critical percolation is well-understood in dimension 2 and in high dimensions. The...
We calculate the scaling exponents of the two-dimensional correlated percolation cluster's hull and ...
We refine the method of our previous paper [2] which gave upper bounds for the critical probability ...
Oriented percolation has two correlation lengths, one in the "'space " and one in the...
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...
We present a review of the recent progress on percolation scaling limits in two dimensions. In parti...
Abstract. It is shown that the critical exponent g1 related to pair-connectiveness and shortest-path...
© The Author(s) 2009. This article is published with open access at Springerlink.com Abstract It is ...
We have greatly extended the series expansions for moments of the pair connectedness and the percola...
Using certain scaling relations for two-dimensional percolation, we study some global geometric prop...
Many 2D critical lattice models are believed to have conformally invariant scal-ing limits. This bel...
Abstract. We prove the scaling relation = 2 1 between the transversal expo-nent and the uctuati...
Critical and near-critical percolation is well-understood in dimension 2 and in high dimensions. The...
We derive scaling laws for the percolation properties of an elongated lattice, i.e., those with dime...
Critical and near-critical percolation is well-understood in dimension 2 and in high dimensions. The...
We calculate the scaling exponents of the two-dimensional correlated percolation cluster's hull and ...
We refine the method of our previous paper [2] which gave upper bounds for the critical probability ...
Oriented percolation has two correlation lengths, one in the "'space " and one in the...
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...
We present a review of the recent progress on percolation scaling limits in two dimensions. In parti...
Abstract. It is shown that the critical exponent g1 related to pair-connectiveness and shortest-path...
© The Author(s) 2009. This article is published with open access at Springerlink.com Abstract It is ...
We have greatly extended the series expansions for moments of the pair connectedness and the percola...
Using certain scaling relations for two-dimensional percolation, we study some global geometric prop...
Many 2D critical lattice models are believed to have conformally invariant scal-ing limits. This bel...
Abstract. We prove the scaling relation = 2 1 between the transversal expo-nent and the uctuati...
Critical and near-critical percolation is well-understood in dimension 2 and in high dimensions. The...
We derive scaling laws for the percolation properties of an elongated lattice, i.e., those with dime...
Critical and near-critical percolation is well-understood in dimension 2 and in high dimensions. The...
We calculate the scaling exponents of the two-dimensional correlated percolation cluster's hull and ...