Harmonic measure and winding of random conformal paths: A Coulomb gas perspective
Statistical Mechanics
2009-06-10 v1 Mathematical Physics
math.MP
Probability
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.
Keywords
Cite
@article{arxiv.0802.2280,
title = {Harmonic measure and winding of random conformal paths: A Coulomb gas perspective},
author = {Bertrand Duplantier and Ilia Binder},
journal= {arXiv preprint arXiv:0802.2280},
year = {2009}
}
Comments
29 pages, 4 figures