Minkowski content and natural parameterization for the Schramm.Loewner evolution

Authors
Lawler, Gregory F. Rezaei, Mohammad A.
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
Annals of probability → ACNP
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.