Duality of Schramm-Loewner Evolutions

Details Duality of Schramm-Loewner Evolutions Duality of Schramm-Loewner Evolutions

2007-11-13

arxiv.org/abs/0711.1884v1

Mathematics

Probability

21 pages

Scientific paper

In this note, we prove a version of the conjectured duality of
Schramm-Loewner Evolutions, by establishing exact identities in distribution
between some boundary arcs of chordal $\SLE_\kappa$, $\kappa>4$, and
appropriate versions of $\SLE_{\hat\kappa}$, $\hat\kappa=16/\kappa$.

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