%0 Journal Article
%T The Loewner equation: maps and shapes
%A Ilya A. Gruzberg
%A Leo P. Kadanoff
%J Statistics
%D 2003
%I arXiv
%R 10.1023/B:JOSS.0000013973.40984.3b
%X In the last few years, new insights have permitted unexpected progress in the study of fractal shapes in two dimensions. A new approach, called Schramm-Loewner evolution, or SLE, has arisen through analytic function theory and probability theory, and given a new way of calculating fractal shapes in critical phenomena, the theory of random walks, and of percolation. We present a non-technical discussion of this development aimed to attract the attention of condensed matter community to this fascinating subject.
%U http://arxiv.org/abs/cond-mat/0309292v1