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.
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页码：559 / 591
页数：33
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