SLE curves and natural parametrization

Details SLE curves and natural parametrization SLE curves and natural parametrization

2010-06-25

arxiv.org/abs/1006.4936v1

Mathematics

Probability

30 pages

Scientific paper

Developing the theory of two-sided radial and chordal $SLE$, we prove that
the natural parametrization on $SLE_\kappa$ curves is well defined for all
$\kappa < 8$. Our proof uses a two-interior-point local martingale.

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