Igor Loutsenko
Published 2012-01-20, updated 2012-04-21Version 5
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.
Journal: J. Phys. A: Math. Theor. 45 275001, 2012
The Coefficient Problem and Multifractality of Whole-Plane SLE and LLE
Long-distance asymptotic behaviour of multi-point correlation functions in massless quantum models
Decay of multi-point correlation functions in $\mathbb{Z}^d$
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