A diffusion process with a self-similar random potential with two exponents, III

被引：1
|
作者：
Suzuki, Yuki [1 ]
机构：
[1] Keio Univ, Sch Med, Kouhoku Ku, Yokohama, Kanagawa 2238521, Japan
来源：
STOCHASTIC ANALYSIS AND APPLICATIONS | 2021年 / 39卷 / 03期
关键词：
Random environment; diffusion process; self-similar process; ONE-DIMENSIONAL DIFFUSIONS; LIMIT-THEOREMS; RANDOM-WALKS;
D O I：
10.1080/07362994.2020.1803754
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider a new class of one-dimensional diffusion processes with self-similar random potentials. The self-similar random potential has different exponents to the left and the right hand sides of the origin. We show that, because of the difference between the two exponents, the long-time behaviors of our process on the left and the right hand sides of the origin are quite different from each other.
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页码：405 / 433
页数：29
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