On the scaling limit of planar self-avoiding walk

Simple item page
dc.creatorLawler, Gregory F.
dc.creatorSchramm, Oded
dc.creatorWerner, Wendelin
dc.date2002-04-23
dc.date2002-04-26
dc.date.accessioned2026-07-07T06:21:36Z
dc.date.available2026-07-07T06:21:36Z
dc.descriptionA planar self-avoiding walk (SAW) is a nearest neighbor random walk path in the square lattice with no self-intersection. A planar self-avoiding polygon (SAP) is a loop with no self-intersection. In this paper we present conjectures for the scaling limit of the uniform measures on these objects. The conjectures are based on recent results on the stochastic Loewner evolution and non-disconnecting Brownian motions. New heuristic derivations are given for the critical exponents for SAWs and SAPs.
dc.identifierhttps://arxiv.org/abs/math/0204277
dc.identifierhttp://arxiv.org/abs/math/0204277
dc.identifierFractal geometry and applications: a jubilee of Benoît Mandelbrot, Part 2, 339--364, Proc. Sympos. Pure Math., 72, Part 2, Amer. Math. Soc., Providence, RI, 2004
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/95650
dc.subjectProbability
dc.subjectMathematical Physics
dc.subject60K35, 82B41
dc.titleOn the scaling limit of planar self-avoiding walk
dc.typetext

Files

Collections

arXiv