Repository logo
 

A multifractal boundary spectrum for SLE κ ( ρ )

Published version
Peer-reviewed

Change log

Authors

Abstract

Abstract: We study SLEκ(ρ) curves, with κ and ρ chosen so that the curves hit the boundary. More precisely, we study the sets on which the curves collide with the boundary at a prescribed “angle” and determine the almost sure Hausdorff dimensions of these sets. This is done by studying the moments of the spatial derivatives of the conformal maps gt, by employing the Girsanov theorem and using imaginary geometry techniques to derive a correlation estimate.

Description

Funder: University of Cambridge

Keywords

Article, Primary 60J67, Secondary 60D05

Journal Title

Probability Theory and Related Fields

Conference Name

Journal ISSN

0178-8051
1432-2064

Volume Title

178

Publisher

Springer Berlin Heidelberg