On the Smoothness of the Partition Function for Multiple Schramm-Loewner Evolutions

被引：5

作者：

Jahangoshahi, Mohammad ^{[1
]}

Lawler, Gregory F. ^{[2
]}

机构：

[1] Univ Chicago, Dept Stat, 5747 S Ellis Ave, Chicago, IL 60637 USA

[2] Univ Chicago, Dept Math, 5734 Univ Ave, Chicago, IL 60637 USA

来源：

JOURNAL OF STATISTICAL PHYSICS | 2018年 / 173卷 / 05期

基金：

美国国家科学基金会;

关键词：

Schramm-Loewner evolution; Partition function; Brownian loop measure; Differential equations; REVERSIBILITY;

D O I：

10.1007/s10955-018-2165-z

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider the measure on multiple chordal Schramm-Loewner evolution (SLE kappa) curves. We establish a derivative estimate and use it to give a direct proof that the partition function is C-2 if kappa < 4.

引用

页码：1353 / 1368

页数：16

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