Superdiffusivity in first-passage percolation

被引：36

作者：

Licea, C

Newman, CM

Piza, MST

机构：

[1] NYU,COURANT INST MATH SCI,NEW YORK,NY 10012

[2] UNIV CALIF IRVINE,DEPT MATH,IRVINE,CA 92717

来源：

PROBABILITY THEORY AND RELATED FIELDS | 1996年 / 106卷 / 04期

关键词：

D O I：

10.1007/s004400050075

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：

In standard first-passage percolation on Z(d) (with d greater than or equal to 2), the time-minimizing paths from a point to a plane at distance L are expected to have transverse fluctuations of order L(xi). It has been conjectured that xi(d) greater than or equal to 1/2 with the inequality strict (superdiffusivity) at least for low d and with xi(2)= 2/3. We prove (versions of) xi(d) greater than or equal to 1/2 for all d and xi(2) greater than or equal to 3/5.

引用

页码：559 / 591

页数：33