Minkowski content and natural parameterization for the Schramm.Loewner evolution

Citation
F. Lawler, Gregory et A. Rezaei, Mohammad, Minkowski content and natural parameterization for the Schramm.Loewner evolution, Annals of probability , 43(3), 2015, pp. 1082-1120
Journal title
ISSN journal
00911798
Volume
43
Issue
3
Year of publication
2015
Pages
1082 - 1120
Database
ACNP
SICI code
Abstract
We prove the existence and nontriviality of the d-dimensional 4 Minkowski content for the Schramm.Loewner evolution (SLE.) with .<8 and d=1+.8. We show that this is a multiple of the natural parameterization.