1ST-PASSAGE PERCOLATION, NETWORK FLOWS AND ELECTRICAL RESISTANCES

被引：66

作者：

GRIMMETT, G ^{[1
]}

KESTEN, H ^{[1
]}

机构：

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

来源：

ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE | 1984年 / 66卷 / 03期

关键词：

D O I：

10.1007/BF00533701

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

收藏

页码：335 / 366

页数：32

相关论文

共 19 条

[1] Bollobas B, 1979, GRAPH THEORY INTRO C
[2] SOME LIMIT-THEOREMS FOR PERCOLATION PROCESSES WITH NECESSARY AND SUFFICIENT CONDITIONS
COX, JT
DURRETT, R
[J]. ANNALS OF PROBABILITY, 1981, 9 (04) : 583 - 603
[3] ON THE CONTINUITY OF THE TIME CONSTANT OF 1ST-PASSAGE PERCOLATION
COX, JT
KESTEN, H
[J]. JOURNAL OF APPLIED PROBABILITY, 1981, 18 (04) : 809 - 819
[4] Gnedenko B., 1954, LIMIT DISTRIBUTION S
[5] BOUNDS FOR EFFECTIVE PARAMETERS OF HETEROGENEOUS MEDIA BY ANALYTIC CONTINUATION
GOLDEN, K
PAPANICOLAOU, G
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1983, 90 (04) : 473 - 491
[6] Grimmett G. R., 1982, Stochastics, V7, P205, DOI 10.1080/17442508208833219
[7] CRITICAL SPONGE DIMENSIONS IN PERCOLATION THEORY
GRIMMETT, GR
[J]. ADVANCES IN APPLIED PROBABILITY, 1981, 13 (02) : 314 - 324
[8] HAMMERSLEY JM, 1965, BERNOULLI BAYES LAPL, P61
[9] ON THE TIME CONSTANT AND PATH LENGTH OF 1ST-PASSAGE PERCOLATION
KESTEN, H
[J]. ADVANCES IN APPLIED PROBABILITY, 1980, 12 (04) : 848 - 863
[10] THE CRITICAL PROBABILITY OF BOND PERCOLATION ON THE SQUARE LATTICE EQUALS 1/2
KESTEN, H
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1980, 74 (01) : 41 - 59