具有分数阶耗散的随机雷-α系统的偏差原理

IF 0.8 4区数学 Q3 STATISTICS & PROBABILITY

Stochastics and Dynamics Pub Date : 2022-10-28 DOI:10.1142/s0219493722400275

Yueyang Wang, Guanggan Chen, Min Yang

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引用次数: 0

摘要

本文研究由乘性噪声驱动的分数阶耗散的随机勒雷-[公式:见文本]系统。建立了随机系统的中心极限定理。建立了一种新的辅助系统，利用经典的弱收敛方法，导出了随机系统的适度偏差原理。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Deviation principles of a stochastic leray-α system with fractional dissipation

This work is concerned with a stochastic Leray-[Formula: see text] system with fractional dissipation driven by multiplicative noise. It establishes the central limit theorem of the stochastic system. Moreover, building a new auxiliary system and using the classical weak convergence approach, it derives the moderate deviation principle of the stochastic system.

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来源期刊

Stochastics and Dynamics 数学-统计学与概率论

CiteScore

1.70

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： This interdisciplinary journal is devoted to publishing high quality papers in modeling, analyzing, quantifying and predicting stochastic phenomena in science and engineering from a dynamical system''s point of view. Papers can be about theory, experiments, algorithms, numerical simulation and applications. Papers studying the dynamics of stochastic phenomena by means of random or stochastic ordinary, partial or functional differential equations or random mappings are particularly welcome, and so are studies of stochasticity in deterministic systems.