THE SUPERCRITICAL PHASE OF PERCOLATION IS WELL BEHAVED

被引:145
作者
GRIMMETT, GR
MARSTRAND, JM
机构
来源
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 1990年 / 430卷 / 1879期
关键词
D O I
10.1098/rspa.1990.0100
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
引用
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页码:439 / 457
页数:19
相关论文
共 15 条
[1]  
AIZENMAN M, 1983, COMMUN MATH PHYS, V92, P19, DOI 10.1007/BF01206313
[2]   SHARPNESS OF THE PHASE-TRANSITION IN PERCOLATION MODELS [J].
AIZENMAN, M ;
BARSKY, DJ .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1987, 108 (03) :489-526
[3]  
BARSKY DJ, 1990, IN PRESS PROB THEOR
[4]  
BARSKY DJ, 1990, SPATIAL STOCHASTIC P
[5]   BULK TRANSPORT-PROPERTIES AND EXPONENT INEQUALITIES FOR RANDOM RESISTOR AND FLOW NETWORKS [J].
CHAYES, JT ;
CHAYES, L .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1986, 105 (01) :133-152
[6]   BERNOULLI PERCOLATION ABOVE THRESHOLD - AN INVASION PERCOLATION ANALYSIS [J].
CHAYES, JT ;
CHAYES, L ;
NEWMAN, CM .
ANNALS OF PROBABILITY, 1987, 15 (04) :1272-1287
[7]   1ST-PASSAGE PERCOLATION, NETWORK FLOWS AND ELECTRICAL RESISTANCES [J].
GRIMMETT, G ;
KESTEN, H .
ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE, 1984, 66 (03) :335-366
[8]  
Grimmett G., 1989, PERCOLATION
[9]   BOND PERCOLATION ON SUBSETS OF THE SQUARE LATTICE, AND THE THRESHOLD BETWEEN ONE-DIMENSIONAL AND TWO-DIMENSIONAL BEHAVIOR [J].
GRIMMETT, GR .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1983, 16 (03) :599-604
[10]   CRITICAL SPONGE DIMENSIONS IN PERCOLATION THEORY [J].
GRIMMETT, GR .
ADVANCES IN APPLIED PROBABILITY, 1981, 13 (02) :314-324