论文标题

存在多点边界绿色功能的弦弦链层演化(SLE)的功能

Existence of multi-point boundary Green's function for chordal Schramm-Loewner evolution (SLE)

论文作者

Fakhry, Rami, Zhan, Dapeng

论文摘要

在本文中,我们证明,对于$κ\(0,8)$,存在$ n $ point Boundare Green的指数$ \frac8κ-1$的功能,用于弦乐SLE $_κ$。我们还证明,在紧凑的集合上,收敛是均匀的,绿色的功能是连续的。我们还为绿色的功能提供了最新的范围。

In the paper we prove that, for $κ\in(0,8)$, the $n$-point boundary Green's function of exponent $\frac8κ-1$ for chordal SLE$_κ$ exists. We also prove that the convergence is uniform over compact sets and the Green's function is continuous. We also give up-to-constant bounds for the Green's function.

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