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Title

Supercritical self-avoiding walks are space-filling

Authors
Kozma, Gady
Yadin, Ariel
Submitted to Annales de l'Institut Henri Poincaré. 2011
Abstract We consider random self-avoiding walks between two points on the boundary of a finite subdomain of Z^d (the probability of a self-avoiding trajectory gamma is proportional to mu^{-length(gamma)}). We show that the random trajectory becomes space-filling in the scaling limit when the parameter mu is supercritical.
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arXiv: 1110.3074
Note 12 pages, 6 figures
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DUMINIL-COPIN, Hugo, KOZMA, Gady, YADIN, Ariel. Supercritical self-avoiding walks are space-filling. Submitted to: Annales de l'Institut Henri Poincaré, 2011. https://archive-ouverte.unige.ch/unige:30546

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Deposited on : 2013-10-21

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