paper

Critical exponents, conformal invariance and planar Brownian motion

arXiv:math/0007042

Abstract

In this review paper, we first discuss some open problems related to two-dimensional self-avoiding paths and critical percolation. We then review some closely related results (joint work with Greg Lawler and Oded Schramm) on critical exponents for two-dimensional simple random walks, Brownian motions and other conformally invariant random objects.

review paper (congress proceedings), 18 pages, 2 figures

Critical exponents, conformal invariance and planar Brownian motion · wovepaper