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arXiv:1006.4936 [math.PR]AbstractReferencesReviewsResources

SLE curves and natural parametrization

Gregory F. Lawler, Wang Zhou

Published 2010-06-25, updated 2013-05-27Version 2

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

Comments: Published in at http://dx.doi.org/10.1214/12-AOP742 the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)
Journal: Annals of Probability 2013, Vol. 41, No. 3A, 1556-1584
Categories: math.PR, math.CV
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