ALMOST SURELY INVARIANCE PRINCIPLE FOR NON-STATIONARY AND RANDOM INTERMITTENT DYNAMICAL SYSTEMS

Su Yaofeng

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ALMOST SURELY INVARIANCE PRINCIPLE FOR NON-STATIONARY AND RANDOM INTERMITTENT DYNAMICAL SYSTEMS

机译：非平稳和间歇间歇动力系统的几乎绝对不变原理

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摘要

We establish almost sure invariance principles (ASIP), a strong form of approximation by Brownian motion, for non-stationary time series arising as observations on sequential maps possessing an indifferent fixed point. These transformations are obtained by perturbing the slope in the Pomeau-Manneville map. Quenched ASIP for random compositions of these maps is also obtained.

机译：对于非平稳时间序列，我们建立了几乎确定的不变原理（ASIP），这是布朗运动近似的一种很强形式，因为它是对连续地图具有固定点的观察。这些变换是通过扰动Pomeau-Manneville地图中的坡度获得的。还获得了这些图的随机组成的淬火ASIP。

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来源
《Discrete and continuous dynamical systems》 |2019年第11期|6585-6597|共13页
作者
Su Yaofeng;
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作者单位

Univ Houston Dept Math Houston TX 77204 USA;

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正文语种 eng
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关键词
Intermittency; neutral fixed point; non-stationary dynamical system; almost surely invariance principle; Pomeau-Manneville maps;

机译：间歇性中性固定点;非平稳动力系统;几乎可以确定不变性原则;波摩-曼内维尔地图;

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1. ALMOST SURE INVARIANCE PRINCIPLE FOR SEQUENTIAL AND NON-STATIONARY DYNAMICAL SYSTEMS [J] . Haydn Nicolai, Nicol Matthew, Torok Andrew, Transactions of the American Mathematical Society . 2017,第8期

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2. Non-stationary Almost Sure Invariance Principle for Hyperbolic Systems with Singularities [J] . Chen Jianyu, Yang Yun, Zhang Hong-Kun Journal of Statistical Physics . 2018,第6期

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3. Dimensional-Invariance Principles in Coupled Dynamical Systems: A Unified Analysis and Applications [J] . Sun Zhiyong, Yu Changbin IEEE Transactions on Automatic Control . 2019,第8期

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4. Invariance principles and system analysis of realization of physical laws symmetry for contemporary signal energodynamics [C] . Dragan Y., Bezruk V., Medykovskyi M., Modern Problems of Radio Engineering, Telecommunications and Computer Science (TCSET'2010), 2010 . 2010

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6. Dynamics of non-stationary processes that follow the maximum of the Rényi entropy principle [O] . Dmitry S. Shalymov, Alexander L. Fradkov -1

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7. Almost surely invariance principle for non-stationary and random intermittent dynamical systems [O] . Yaofeng Su 2019

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8. An Invariance Principle for Dynamical Systems on Banach Space - Application to the General Problem of Thermoelastic Stability [R] . Infante, E. F., Slemrod, M. 1969

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ALMOST SURELY INVARIANCE PRINCIPLE FOR NON-STATIONARY AND RANDOM INTERMITTENT DYNAMICAL SYSTEMS

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