Friday, February 3, 2012

1201.4381 (Igor Loutsenko)

SLE_k: correlation functions in the coefficient problem    [PDF]

Igor Loutsenko
We apply 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
of conformal mappings for special values of kappa in the whole-plane
Schramm-Loewner evolution SLE_kappa. We propose to use multi-point correlation
functions for study of higher moments in coefficient problem. Generalizations
related to the Levy-type processes are also considered.
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