Values of Brownian intersection exponents, II: Plane exponents

被引：168

作者：

Lawler, GF

Schramm, O

Werner, W

机构：

[1] Duke Univ, Dept Math, Durham, NC 27708 USA

[2] Univ Paris 11, Dept Math, FR-91405 Orsay, France

[3] Microsoft Res, Redmond, WA 98052 USA

来源：

ACTA MATHEMATICA | 2001年 / 187卷 / 02期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1007/BF02392619

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

[No abstract available]

引用

页码：275 / 308

页数：34

共 39 条

[1]

Ahlfors L. V., 1973, McGraw-Hill Series in Higher Mathematics

[2] Path-crossing exponents and the external perimeter in 2D percolation [J].

Aizenman, M ;

Duplantier, B ;

Aharony, A .

PHYSICAL REVIEW LETTERS, 1999, 83 (07) :1359-1362

[3]

[Anonymous], 1991, CONTINUOUS MARTINGAL, DOI DOI 10.1007/978-3-662-21726-9

[4]

AZENCOTT R, 1974, B SOC MATH FR, V102, P193

[5] The dimension of the Brownian frontier is greater than 1 [J].

Bishop, CJ ;

Jones, PW ;

Pemantle, R ;

Peres, Y .

JOURNAL OF FUNCTIONAL ANALYSIS, 1997, 143 (02) :309-336

[6] NONINTERSECTION EXPONENTS FOR BROWNIAN PATHS .1. EXISTENCE AND AN INVARIANCE-PRINCIPLE [J].

BURDZY, K ;

LAWLER, GF .

PROBABILITY THEORY AND RELATED FIELDS, 1990, 84 (03) :393-410

[7] NONINTERSECTION EXPONENTS FOR BROWNIAN PATHS .2. ESTIMATES AND APPLICATIONS TO A RANDOM FRACTAL [J].

BURDZY, K ;

LAWLER, GF .

ANNALS OF PROBABILITY, 1990, 18 (03) :981-1009

[8] The number of incipient spanning clusters in two-dimensional percolation [J].

Cardy, J .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1998, 31 (05) :L105-L110

[9] CRITICAL PERCOLATION IN FINITE GEOMETRIES [J].

CARDY, JL .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1992, 25 (04) :L201-L206

[10] CONFORMAL-INVARIANCE AND SURFACE CRITICAL-BEHAVIOR [J].

CARDY, JL .

NUCLEAR PHYSICS B, 1984, 240 (04) :514-532

← 1 2 3 4 →