Harmonic Measure and SLE

Beliaev, Dmitry; Smirnov, Stanislav

doi:10.1007/s00220-009-0864-7

Scientific article

English

Harmonic Measure and SLE

Contributors

Beliaev, Dmitry; Smirnov, Stanislav

Published in

Communications in Mathematical Physics, vol. 290, no. 2, p. 577-595

Publication date

2009

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.

UNIGE affiliation entities

Faculté des sciences / Section de mathématiques

Citation (ISO format)

BELIAEV, Dmitry, SMIRNOV, Stanislav. Harmonic Measure and SLE. In: Communications in Mathematical Physics, 2009, vol. 290, n° 2, p. 577–595. doi: 10.1007/s00220-009-0864-7

Article (Published version)

Identifiers

PID : unige:8523
DOI : 10.1007/s00220-009-0864-7

Additional URL for this publication

http://www.springerlink.com/index/10.1007/s00220-009-0864-7

Journal ISSN

0010-3616

564views

0downloads

Creation

01/07/2010 13:47:00

First validation

01/07/2010 13:47:00

Update

26/03/2026 10:47:34

Status update

26/03/2026 10:47:34

Last indexation

26/03/2026 10:54:17

Harmonic Measure and SLE

Contributors

Published in

Publication date

Abstract

UNIGE affiliation entities

Citation (ISO format)

Main files (1)

Identifiers

Additional URL for this publication

Journal ISSN

Technical informations

Creation

First validation

Update

Status update

Last indexation