Regularly varying correlation functions and KMO-Langevin equations
Regularly varying correlation functions and KMO-Langevin equations
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定期变化的相关函数和 KMO-Langevin 方程
DOI：
10.14492/hokmj/1351257978
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发表时间：
1997
影响因子：
0.5
通讯作者：
A. Inoue
中科院分区：
文献类型：
--
作者：
A. Inoue
我们研究了 Okabe 第一个 KMO-Langevin 方程的变体。在建立平稳解的唯一存在性之后，我们精确地描述了解的相关函数 R 的长期行为。特别是，诸如 R(t)\sim ct^{-1} as tarrow\infty 之类的行为是通过使用 \Pi 变体来表征的。随索引 p\in[-1,0) 定期变化的相关函数用外函数来表征。
We study a variant of Okabe’s first KMO-Langevin equation. After establishing unique existence of a stationary solution, we precisely describe the long-time behavior of the correlation function R of the solution. In particular, the behavior such as R(t)\sim ct^{-1} as tarrow\infty is characterized by using \Pi-variation. Correlation functions regularly varying with index p\in[-1,0) are characterized in terms of outer functions.