A large deviation principle for the Schramm-Loewner evolution in the uniform topology

被引：2

作者：

Guskov, Vladislav ^{[1
]}

机构：

[1] KTH Royal Inst Technol, Dept Math, S-10044 Stockholm, Sweden

来源：

ANNALES FENNICI MATHEMATICI | 2023年 / 48卷 / 01期

基金：

瑞典研究理事会;

关键词：

Schramm-Loewner evolution; large deviation principle; Loewner energy; CONFORMAL-INVARIANCE; CONVERGENCE; ENERGY;

D O I：

10.54330/afm.130997

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We establish a large deviation principle for chordal SLE, parametrized by capacity, as the parameter & kappa;-+ 0+, in the topology generated by uniform convergence on compact intervals of the positive real line. The rate function is shown to equal the Loewner energy of the curve. This strengthens the recent result of Peltola and Wang who obtained the analogous statement using the Hausdorff topology.

引用

页码：389 / 410

页数：22

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