An inequality for oriented 2-D percolation.

ANDJEL, E. Y SUED, M.

Maresias, Brasil

Congreso; X Escuela Brasilera de Probabilidades; 2007

Abstract. We consider a Bernoulli oriented percolation model on the sub-graph of Z2 consisting of the points whose coordinates add up to an evennumber. In this model, each point (m; n) of this graph is the origin of twooriented bonds whose end points are (m + 1; n + 1) and (m ¡ 1; n + 1). Weshow that the probability that there is an open path from (0; 0) to (2i; 2n)decresases strictly as i increases from 0 to n.