Harmonic measure and winding of random conformal paths: A Coulomb gas perspective
نویسندگان
چکیده
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. Crown Copyright © 2008 Published by Elsevier B.V. All rights reserved.
منابع مشابه
Harmonic measure & winding of random conformal paths: A Coulomb gas perspective
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 mo...
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