Schramm-Loewner进化的大偏差:综述

IF 1.3 Q2 STATISTICS & PROBABILITY

Probability Surveys Pub Date : 2021-02-13 DOI:10.1214/22-ps9

Yilin Wang

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引用次数: 13

摘要

这些注释调查了Schramm-Loewner进化（SLE）的大偏差的第一个结果，重点是速率函数之间的相互关系和在复杂分析中的应用。更准确地说，我们描述了当$\kappa$参数在弦和多弦情况下为零时，以及在径向情况下为无穷大时，SLE$_\kappa的大偏差。速率函数，即Loewner和Loewer-Kufarev能量，与拟圆的Weil-Petersson类和实有理函数密切相关。

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Large deviations of Schramm-Loewner evolutions: A survey

These notes survey the first results on large deviations of Schramm-Loewner evolutions (SLE) with emphasis on interrelations between rate functions and applications to complex analysis. More precisely, we describe the large deviations of SLE$_\kappa$ when the $\kappa$ parameter goes to zero in the chordal and multichordal case and to infinity in the radial case. The rate functions, namely Loewner and Loewner-Kufarev energies, are closely related to the Weil-Petersson class of quasicircles and real rational functions.

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来源期刊

Probability Surveys STATISTICS & PROBABILITY-

CiteScore

4.70

自引率

0.00%

发文量