弦Schramm-Loewner演化(SLE)多点边界Green函数的存在性

IF 1.3 3区数学 Q2 STATISTICS & PROBABILITY

Electronic Journal of Probability Pub Date : 2022-08-29 DOI:10.1214/23-ejp936

Rami Fakhry, Dapeng Zhan

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引用次数: 2

摘要

本文证明，对于$\kappa\In（0,8）$，弦系统性红斑狼疮$_\kappa$的指数$\frac8\kappa-1$的$n$-点边界Green函数是存在的。我们还证明了紧集上的收敛是一致的，格林函数是连续的。我们还给出格林函数的常界。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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

In the paper we prove that, for $\kappa\in(0,8)$, the $n$-point boundary Green's function of exponent $\frac8\kappa -1$ for chordal SLE$_\kappa$ 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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来源期刊

Electronic Journal of Probability 数学-统计学与概率论

CiteScore

1.80

自引率

7.10%

发文量

119

审稿时长

4-8 weeks

期刊介绍： The Electronic Journal of Probability publishes full-size research articles in probability theory. The Electronic Communications in Probability (ECP), a sister journal of EJP, publishes short notes and research announcements in probability theory. Both ECP and EJP are official journals of the Institute of Mathematical Statistics and the Bernoulli society.