Harmonic measure and winding of random conformal paths: A Coulomb gas perspective

Authors :: Duplantier, Bertrand
Binder, Ilia
Source :: Nuclear Physics B, Volume 802, Issue 3, 21 October 2008, Pages 494-513
Publication Year :: 2008
Abstract: We consider random conformally invariant paths in the complex plane (SLEs). Using the Coulomb gas method in conformal field theory, we rederive the mixed multifractal exponents associated with both the harmonic measure and winding (rotation or monodromy) near such critical curves, previously obtained by quantum gravity methods. The results also extend to the general cases of harmonic measure moments and winding of multiple paths in a star configuration.<br />Comment: 29 pages, 4 figures

Subjects :: Condensed Matter - Statistical Mechanics
Mathematical Physics
Mathematics - Probability

Database :: arXiv
Journal :: Nuclear Physics B, Volume 802, Issue 3, 21 October 2008, Pages 494-513
Publication Type :: Report
Accession number :: edsarx.0802.2280
Document Type :: Working Paper
Full Text :: https://doi.org/10.1016/j.nuclphysb.2008.05.020

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