i.i.d.r.v.'s, denoting a pair of nearest neighbors in Zd; let β,y > 0. We consider .... of von Dreifus and Spencer [5,6] and von Dreifus and Klein [7]. We can identify ... always imply long-range order in the (d + l)-dimensional model for any γ. In.
Decay of Two-Point Functions for (d + l)-Dimensional Percolation, Ising and Potts Models with ^/-Dimensional Disorder Massimo Campanino* and Abel Klein** Department of Mathematics, University of California, Irvine, Irvine, CA 92717, USA Received February 5, 1990
Abstract. Let { J ( X ί y y } ( x > y y ^ z d and {Kx}xeZd be independent sets of nonnegative i.i.d.r.v.'s, denoting a pair of nearest neighbors in Zd; let β,y > 0. We consider the random systems: 1. A bond Bernoulli percolation model on Zd+1 with random occupation probabilities 1 — β ~ 2βJy> iϊt = s9x9y nearest neighbors 1i — eP ~2yKχ if11v x——v y,\t\ι—
