Harmonic Measure and SLE |
| |
| Authors: | D Beliaev and S Smirnov |
| |
| Institution: | (1) Department of Mathematics, Fine Hall, Princeton University, Princeton, NJ 08544, USA;(2) IAS, Princeton, NJ 08544, USA;(3) Section de Mathématiques, Université de Genève, 2-4 rue du Lièvre, CH-1211 Genève 4, Switzerland |
| |
| Abstract: | In this paper we study the multifractal structure of Schramm’s SLE curves. We derive the values of the (average) spectrum of harmonic measure and prove Duplantier’s prediction for the multifractal spectrum of SLE curves. The spectrum can also be used to derive estimates of the dimension, Hölder exponent and other geometrical quantities. The SLE curves provide perhaps the only example of sets where the spectrum is non-trivial yet exactly computable. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
