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.

引用

页码：405 / 433

页数：29

共 12 条

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