arXiv 0802.22802008-02-18cond-mat.stat-mechmath-phmath.MPmath.PR

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

Bertrand Duplantier, Ilia Binder

备注：: 29 pages, 4 figures
发表信息：: Nuclear Physics B, Volume 802, Issue 3, 21 October 2008, Pages 494-513
DOI：: 10.1016/j.nuclphysb.2008.05.020

英文摘要：

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.

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