SLE_k: correlation functions in the coefficient problem
Mathematical Physics
2015-06-03 v5 Complex Variables
math.MP
Probability
Abstract
We apply the method of correlation functions to the coefficient problem in stochastic geometry. In particular, we give a proof for some universal patterns conjectured by M. Zinsmeister for the second moments of the Taylor coefficients for special values of kappa in the whole-plane Schramm-Loewner evolution (SLE_kappa). We propose to use multi-point correlation functions for the study of higher moments in coefficient problem. Generalizations related to the Levy-type processes are also considered. The exact multifractal spectrum of considered version of the whole-plane SLE_kappa is discussed.
Cite
@article{arxiv.1201.4381,
title = {SLE_k: correlation functions in the coefficient problem},
author = {Igor Loutsenko},
journal= {arXiv preprint arXiv:1201.4381},
year = {2015}
}