SLE_k：系数问题中的关联函数
SLE_k: correlation functions in the coefficient problem
摘要：
将关联函数方法应用于随机几何中的系数问题。特别地，我们给出了M. Zinsmeister的泰勒系数的二阶矩的特殊值的kappa在全平面Schramm-Loewner演变（SLE_kappa）。本文提出用多点关联函数来研究系数问题中的高阶矩。与列维型过程的推广也被认为是。讨论了全平面SLE_kappa的多重分形谱。
英文摘要：
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.
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