CONNECTIVITY PROPERTIES OF MANDELBROT PERCOLATION PROCESS

被引：79

作者：

CHAYES, JT ^{[1
]}

CHAYES, L ^{[1
]}

DURRETT, R ^{[1
]}

机构：

[1] CORNELL UNIV,DEPT MATH,ITHACA,NY 14853

来源：

PROBABILITY THEORY AND RELATED FIELDS | 1988年 / 77卷 / 03期

关键词：

D O I：

10.1007/BF00319291

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：

引用

页码：307 / 324

页数：18

共 13 条

[1]

AIZENMAN M, 1983, COMMUN MATH PHYS, V92, P19, DOI 10.1007/BF01206313

[2]

Billingsley P., 1965, ERGODIC THEORY INFOR

[3]

Harris TE., 1960, P CAMBRIDGE PHIL SOC, V56, P13, DOI DOI 10.1017/S0305004100034241

[4] CERTAIN MARTINGALES OF MANDELBROT,B [J].

KAHANE, JP ;

PEYRIERE, J .

ADVANCES IN MATHEMATICS, 1976, 22 (02) :131-145

[5] THE CRITICAL PROBABILITY OF BOND PERCOLATION ON THE SQUARE LATTICE EQUALS 1/2 [J].

KESTEN, H .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1980, 74 (01) :41-59

[6]

Kesten H, 1982, PERCOLATION THEORY M

[7]

Mandelbrot B.B., 1983, FRACTAL GEOMETRY NAT

[8] INTERMITTENT TURBULENCE IN SELF-SIMILAR CASCADES - DIVERGENCE OF HIGH MOMENTS AND DIMENSION OF CARRIER [J].

MANDELBROT, BB .

JOURNAL OF FLUID MECHANICS, 1974, 62 (JAN23) :331-358

[9] RANDOM RECURSIVE CONSTRUCTIONS - ASYMPTOTIC GEOMETRIC AND TOPOLOGICAL PROPERTIES [J].

MAULDIN, RD ;

WILLIAMS, SC .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1986, 295 (01) :325-346

[10] NOTE ON PERCOLATION [J].

RUSSO, L .

ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE, 1978, 43 (01) :39-48

← 1 2 →