Supercritical self-avoiding walks are space-filling

Hugo Duminil-Copin,Gady Kozma,Ariel Yadin

ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES（2014）

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摘要

In this article, we consider the following model of self-avoiding walk: the probability of a self-avoiding trajectory gamma between two points on the boundary of a finite subdomain of Z(d) is proportional to mu(-length(gamma)). When mu is supercritical (i.e.mu更多

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关键词

Self avoiding walk,Connective constant

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