MULTI-POINT GREEN'S FUNCTIONS FOR SLE AND AN ESTIMATE OF BEFFARA

被引：24
|
作者：
Lawler, Gregory F. [1 ]
Werness, Brent M. [1 ]
机构：
[1] Univ Chicago, Dept Math, Chicago, IL 60637 USA
来源：
ANNALS OF PROBABILITY | 2013年 / 41卷 / 3A期
基金：
美国国家科学基金会;
关键词：
UNIFORM SPANNING-TREES; ERASED RANDOM-WALKS; CONFORMAL-INVARIANCE; SCALING LIMITS;
D O I：
10.1214/11-AOP695
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
In this paper we define and prove of the existence of the multi-point Green's function for SLE a normalized limit of the probability that an SLE kappa curve passes near to a pair of marked points in the interior of a domain. When kappa <8 this probability is nontrivial, and an expression can be written in terms two-sided radial SLE. One of the main components to our proof is a refinement of a bound first provided by Beffara [Ann. Probab. 36 (2008) 14211452]. This work contains a proof of this bound independent from the original.
引用
收藏
页码：1513 / 1555
页数：43
相关论文
共 50 条
  • [41] Multi-point evaluation in higher dimensions
    Joris van der Hoeven
    Éric Schost
    Applicable Algebra in Engineering, Communication and Computing, 2013, 24 : 37 - 52
  • [42] MpcMech: Multi-Point Conjugation Mechanisms
    Chen, Ke
    Li, Siqi
    Song, Peng
    Zheng, Jianmin
    Liu, Ligang
    ACM Transactions on Graphics, 2024, 43 (06):
  • [43] Multi-point coupling for tool point receptance prediction
    Schmitz, Tony
    Honeycutt, Andrew
    Gomez, Michael
    Stokes, Michael
    Betters, Emma
    JOURNAL OF MANUFACTURING PROCESSES, 2019, 43 : 2 - 11
  • [44] Hyperspectral Multi-Point Confocal Microscope
    Velten, Andreas
    White, John G.
    Mackie, Thomas R.
    Eliceiri, Kevin W.
    2013 CONFERENCE ON LASERS AND ELECTRO-OPTICS (CLEO), 2013,
  • [45] The rnechanics of multi-point sandwich forming
    Zhang, Q.
    Wang, Z. R.
    Dean, T. A.
    INTERNATIONAL JOURNAL OF MACHINE TOOLS & MANUFACTURE, 2008, 48 (12-13): : 1495 - 1503
  • [46] A Multi-Point Contact HPGe Detector
    Dion, Michael P.
    Fast, James E.
    Hull, Ethan L.
    Rodriguez, Douglas C.
    Taubman, Matthew S.
    VanDevender, Brent A.
    Wood, Lynn S.
    Wright, Michael E.
    IEEE TRANSACTIONS ON NUCLEAR SCIENCE, 2014, 61 (06) : 3739 - 3746
  • [47] Multi-point evaluation in higher dimensions
    van der Hoeven, Joris
    Schost, Eric
    APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING, 2013, 24 (01) : 37 - 52
  • [48] NEUTRON FLUCTUATIONS IN A MULTI-POINT REACTOR
    OTSUKA, M
    SAITO, K
    JOURNAL OF NUCLEAR SCIENCE AND TECHNOLOGY-TOKYO, 1965, 2 (01): : 40 - &
  • [49] Applications of multi-point mirror supporting
    Zhuo Renshan
    Zhang Dongge
    SENSORS, MEASUREMENT AND INTELLIGENT MATERIALS II, PTS 1 AND 2, 2014, 475-476 : 1555 - +
  • [50] Multi-point methods for precision measurement
    Kiyono S.
    Seimitsu Kogaku Kaishi/Journal of the Japan Society for Precision Engineering, 2010, 76 (02): : 165 - 168
12345