UNIGE document Preprint
previous document  unige:30546  next document
add to browser collection
Title

Supercritical self-avoiding walks are space-filling

Authors
Kozma, Gady
Yadin, Ariel
Year 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.
Identifiers
arXiv: 1110.3074
Note 12 pages, 6 figures
Note Soumis dans : Annales de l'Institut Henri Poincaré
Full text
Preprint (551 Kb) - public document Free access
Structures
Citation
(ISO format)
DUMINIL-COPIN, Hugo, KOZMA, Gady, YADIN, Ariel. Supercritical self-avoiding walks are space-filling. 2011. https://archive-ouverte.unige.ch/unige:30546

434 hits

182 downloads

Update

Deposited on : 2013-10-21

Export document
Format :
Citation style :