arXiv Analytics

Sign in

arXiv:1207.3721 [math.PR]AbstractReferencesReviewsResources

The Green's function for the radial Schramm-Loewner evolution

Tom Alberts, Michael J. Kozdron, Gregory F. Lawler

Published 2012-07-16Version 1

We prove the existence of the Green's function for radial SLE(k) for k<8. Unlike the chordal case where an explicit formula for the Green's function is known for all values of k<8, we give an explicit formula only for k=4. For other values of k, we give a formula in terms of an expectation with respect to SLE conditioned to go through a point.

Comments: v1: 16 pages, 0 figures
Journal: J. Phys. A: Math. Theor., volume 45, number 49, paper 494015, 2012
Categories: math.PR, math-ph, math.MP
Subjects: 60J67, 82B31
Related articles: Most relevant | Search more
arXiv:math/0209343 [math.PR] (Published 2002-09-25, updated 2003-04-25)
Conformal restriction: the chordal case
arXiv:1409.6834 [math.PR] (Published 2014-09-24)
Exploration processes and SLE$_6$
arXiv:1401.7197 [math.PR] (Published 2014-01-28)
On the Bellman function of Nazarov, Treil and Volberg

Links

Toolbox