Decay Properties of the Connectivity for Mixed Long Range Percolation Models on $\Z^d$

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dc.creatorBraga, Gastao A.
dc.creatorCioletti, Leandro M.
dc.creatorSanchis, Remy
dc.date2006-05-15
dc.date2007-09-10
dc.date.accessioned2026-07-07T08:28:16Z
dc.date.available2026-07-07T08:28:16Z
dc.descriptionIn this short note we consider mixed short-long range independent bond percolation models on $\Z^{k+d}$. Let $p_{uv}$ be the probability that the edge $(u,v)$ will be open. Allowing a $x,y$-dependent length scale and using a multi-scale analysis due to Aizenman and Newman, we show that the long distance behavior of the connectivity $τ_{xy}$ is governed by the probability $p_{xy}$. The result holds up to the critical point.
dc.description6 pages
dc.identifierhttps://arxiv.org/abs/math-ph/0605047
dc.identifierhttp://arxiv.org/abs/math-ph/0605047
dc.identifierdoi:10.1007/s10955-007-9347-4
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/137557
dc.subjectMathematical Physics
dc.subjectProbability
dc.subject82B43
dc.titleDecay Properties of the Connectivity for Mixed Long Range Percolation Models on $\Z^d$
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