Mathematics – Probability
Scientific paper
2011-10-13
Mathematics
Probability
12 pages, 6 figures
Scientific paper
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.
Duminil-Copin Hugo
Kozma Gady
Yadin Ariel
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