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

共 50 条

[31] Left passage probability of Schramm-Loewner Evolution
Najafi, M. N.
PHYSICAL REVIEW E, 2013, 87 (06):
[32] Schramm-Loewner Evolution and Liouville Quantum Gravity
Duplantier, Bertrand
Sheffield, Scott
PHYSICAL REVIEW LETTERS, 2011, 107 (13)
[33] Planar percolation with a glimpse of Schramm-Loewner evolution
Beffara, Vincent
Duminil-Copin, Hugo
PROBABILITY SURVEYS, 2013, 10 : 1 - 50
[34] Note on Schramm-Loewner Evolution for Superconformal Algebras
S. Koshida
Theoretical and Mathematical Physics, 2019, 199 : 501 - 512
[35] Conformal welding problem, flow line problem, and multiple Schramm-Loewner evolution
Katori, Makoto
Koshida, Shinji
JOURNAL OF MATHEMATICAL PHYSICS, 2020, 61 (08)
[36] Liouville Quantum Gravity, KPZ and Schramm-Loewner Evolution
Duplantier, Bertrand
PROCEEDINGS OF THE INTERNATIONAL CONGRESS OF MATHEMATICIANS (ICM 2014), VOL III, 2014, : 1035 - 1061
[37] Three-dimensional gravity and Schramm-Loewner evolution
Zhou, Jing
Leng, Xiaoling
CANADIAN JOURNAL OF PHYSICS, 2023, 101 (10) : 532 - 535
[38] Fokker-Planck equation of Schramm-Loewner evolution
Najafi, M. N.
PHYSICAL REVIEW E, 2015, 92 (02):
[39] A fast algorithm for simulating the chordal Schramm-Loewner evolution
Kennedy, Tom
JOURNAL OF STATISTICAL PHYSICS, 2007, 128 (05) : 1125 - 1137
[40] Six-vertex model and Schramm-Loewner evolution
Kenyon, Richard
Miller, Jason
Sheffield, Scott
Wilson, David B.
PHYSICAL REVIEW E, 2017, 95 (05)

← 1 2 3 4 5 →