Free energy and some sample path properties of a random walk with random potential

被引：20
|
作者：
Albeverio, S
Zhou, XY
机构：
[1] BEIJING NORMAL UNIV,DEPT MATH,BEIJING 100875,PEOPLES R CHINA
[2] CERFIM,LOCARNO,SWITZERLAND
来源：
JOURNAL OF STATISTICAL PHYSICS | 1996年 / 83卷 / 3-4期
关键词：
random walks with random potentials; free energy; central limit theorem; recurrence; localization;
D O I：
10.1007/BF02183741
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We study the asymptotic behavior of the free energy for a model (defined by Sinai) of one-dimensional random walk with random potential. In particular, we obtain a central limit theorem and a strong law of large numbers for this free energy. We use some results on the ii ee energy to study some sample path properties of this random walk which are related respectively to its recurrence and localization. Some exponents describing the recurrence and localization are found.
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页码：573 / 622
页数：50
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