Critical exponents, conformal invariance and planar Brownian motion

Details Critical exponents, conformal invariance and planar Brownian motion Critical exponents, conformal invariance and planar Brownian motion

2000-07-07

arxiv.org/abs/math/0007042v1

Mathematics

Probability

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

Scientific paper

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.

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