%0 Journal Article
%T On the scaling limit of planar self-avoiding walk
%A Gregory F. Lawler
%A Oded Schramm
%A Wendelin Werner
%J Mathematics
%D 2002
%I arXiv
%X A 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.
%U http://arxiv.org/abs/math/0204277v2