Critical exponents for two-dimensional percolation

Details Critical exponents for two-dimensional percolation Critical exponents for two-dimensional percolation

2001-09-18

arxiv.org/abs/math/0109120v2

Mathematics

Probability

to appear in Math. Res. Lett

Scientific paper

We show how to combine Kesten's scaling relations, the determination of
critical exponents associated to the stochastic Loewner evolution process by
Lawler, Schramm, and Werner, and Smirnov's proof of Cardy's formula, in order
to determine the existence and value of critical exponents associated to
percolation on the triangular lattice.

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