SLE AND TRIANGLES

被引：10

作者：

Dubedat, Julien ^{[1
]}

机构：

[1] Univ Paris 11, Lab Math, Bat 425, F-91405 Orsay, France

来源：

ELECTRONIC COMMUNICATIONS IN PROBABILITY | 2003年 / 8卷

关键词：

Stochastic Loewner Evolution; FK percolation; Double domino tilings; Uniform spanning tree;

D O I：

10.1214/ECP.v8-1067

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：

By analogy with Carleson's observation on Cardy's formula describing crossing probabilities for the scaling limit of critical percolation, we exhibit "privileged geometries" for Stochastic Loewner Evolutions with various parameters, for which certain hitting distributions are uniformly distributed. We then examine consequences for limiting probabilities of events concerning various critical plane discrete models.

引用

页码：28 / 42

页数：15

共 19 条

[1]

Ahlfors L. V., 1979, COMPLEX ANAL

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

CARDY, JL .

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

[3]

GRIMMETT GR, 1997, LECT NOTES MATH, V1665

[4] Conformal invariance of domino tiling [J].

Kenyon, R .

ANNALS OF PROBABILITY, 2000, 28 (02) :759-795

[5] Local statistics of lattice dimers [J].

Kenyon, R .

ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES, 1997, 33 (05) :591-618

[6]

Kenyon R., 2002, LECT NOTES SHORT COU

[7]

Lawler G., 2002, ARXIVMATHPR0209343

[8]

Lawler G., 2002, ARXIVMATHPR0112234

[9]

Lawler G., 2001, PREPRINT

[10] Values of Brownian intersection exponents, I: Half-plane exponents [J].

Lawler, GF ;

Schramm, O ;

Werner, W .

ACTA MATHEMATICA, 2001, 187 (02) :237-273

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