Scaling Inequalities for Oriented Percolation

Abstract

We begin by describing the model. Al though it can be defined for any dimension, we will restrict ourselves to the two-dimensional case. Let 50 = { ( m , n ) e g 2 ; m + n is even, n~>O}. F r o m each z e 5 0 there is an oriented arc to z + (1, l) and to z + ( 1 , 1). Each arc, also called a bond, is independently open with probabil i ty p and closed with… (More)

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