LARGE DEVIATION THEOREMS FOR RANDOM DYNAMIC SYSTEMS OVER CLOSED SETS

被引：0

作者：

Deng, Xinying ^{[1
]}

Yang, Xue ^{[2
]}

Xing, Jiamin ^{[1
,3
]}

机构：

[1] Northeast Normal Univ, Sch Math & Stat, Changchun 130024, Peoples R China

[2] Jilin Univ, Coll Math, Changchun 130012, Peoples R China

[3] Northeast Normal Univ, Ctr Math & Interdisciplinary Sci, Changchun 130024, Peoples R China

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2024年

基金：

中国国家自然科学基金;

关键词：

Large deviation theorem; ergodically sensitive; topologically ergodic; symbolic dynamical system; topologically strongly ergodic; CENTRAL-LIMIT-THEOREM; MEAN EQUICONTINUITY; ERGODIC THEOREM; CHAOS;

D O I：

10.3934/dcdss.2024203

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let (Omega x Y, F x 13(Y ), P, Theta(t)) be a 'skew-product' dynamic system and P be a support probability measure on Omega x Y. We introduce large deviation theorems of the 'skew-product' dynamic system over a nonempty closed subset T of R+ U {0}, which can be inhomogeneous, and popularize the definition of 'topologically ergodic, sensitive' to the case of 'skew-product' between the complete probability measure space S2 and nontrivial compact measurable metric space Y. We also present sufficient conditions on the ergodic sensitivity and topological ergodicity .

引用

页码：3353 / 3368

页数：16

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