ERGODICITY

作品数:98被引量:101H指数:6
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相关领域:理学更多>>
相关作者:叶彦谦更多>>
相关机构:南京大学中国传媒大学更多>>
相关期刊:《International Journal of Communications, Network and System Sciences》《Frontiers of Mathematics in China》《Journal of Southeast University(English Edition)》《Light(Science & Applications)》更多>>
相关基金:国家自然科学基金国家重点基础研究发展计划国家教育部博士点基金广东省自然科学基金更多>>
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Relation Between the Eventual Continuity and the E-property for Markov-Feller Semigroups
《Acta Mathematicae Applicatae Sinica》2024年第1期1-16,共16页Yong Liu Zi-yu Liu 
supported by National Natural Science Foundation of China (No.11731009, No.12231002);Center for Statistical Science,Peking University。
We investigate some relations between two kinds of semigroup regularities, namely the e-property and the eventual continuity, both of which contribute to the ergodicity for Markov processes on Polish spaces.More preci...
关键词:Markov-Feller semigroup ERGODICITY e-property eventual continuity 
Dynamical Analysis of Nonautonomous Trophic Cascade Chemostat Model with Regime Switching and Nonlinear Perturbations in a Polluted Environment
《Acta Mathematicae Applicatae Sinica》2023年第3期550-570,共21页Ya-jie LI Hao-kun QI Zheng-bo CHANG Xin-zhu MENG 
the National Natural Science Foundation of China (No.12271308);the Research Fund for the Taishan Scholar Project of Shandong Province of China;Shandong Provincial Natural Science Foundation of China (ZR2019MA003)。
This paper investigates the stochastic dynamics of trophic cascade chemostat model perturbed by regime switching, Gaussian white noise and impulsive toxicant input. For the system with only white noise interference, s...
关键词:stochastic trophic cascade chemostat model Markov chain extinction and stochastic permanence periodic solution ERGODICITY 
Multiple Ergodicity For Reversible Markov Chains
《Acta Mathematicae Applicatae Sinica》2018年第4期863-868,共6页Yuan LIU 
Supported by the National Natural Science Foundation of China(No.11431014,no.11688101);AMSS research grant(No.Y129161ZZ1);Key Laboratory of Random Complex Structures and Data,Academy of Mathematics and Systems Science,Chinese Academy of Sciences(No.2008DP173182)
Inspired by the multiple recurrence and multiple ergodic theorems for measure preserving systems,we discuss an analogous question for measure preserving semigroups. In this note, we deal with the symmetric semigroups ...
关键词:Multiple recurrence reversible Markov chain 
Ergodicity of the 2D Navier-Stokes Equations with Degenerate Multiplicative Noise
《Acta Mathematicae Applicatae Sinica》2018年第1期97-118,共22页Zhao DONG Xu-hui PENG 
supported by the National Natural Science Foundation of China(No.11371041,11431014);the Key Laboratory of Random Complex Structures and Data Science,Academy of Mathematics and Systems Science,Chinese Academy of Sciences(No.2008DP173182);supported by NSFC(No.11501195);a Scientific Research Fund of Hunan Provincial Education Department(No.17C0953);the Youth Scientific Research Fund of Hunan Normal University(No.Math140650);the Construct Program of the Key Discipline in Hunan Province
Consider the two-dimensional, incompressible Navier-Stokes equations on torus T^2= [-π, π]^2 driven by a degenerate multiplicative noise in the vorticity formulation(abbreviated as SNS): dwt = ν?w_tdt +B(Kw_t...
关键词:tochastic Navier-Stokes equation asymptotically strong Feller property ERGODICITY 
Ergodicity of a Class of Nonlinear Time Series Models in Random Environment Domain
《Acta Mathematicae Applicatae Sinica》2010年第1期159-168,共10页En-wen Zhu Han-jun Zhang Gang Yang Zai-ming Liu Jie-zhong Zou Shao-shun Long 
Supported by the Excellent Youth Foundation of Educational Committee of Hunan Provincial(No.08B005);the Scientific Research Funds of Hunan Provincial Education Department of China(No.08Cl19);CSU Doctoral Candidate Creative Fund(No.3340-75206);the Scientific Research Funds of Hunan Provincial Science and Technology Department of China(No.2009FJ3103)
In this paper, we study the problem of a variety of p, onlinear time series model Xn+ 1= TZn+1(X(n), … ,X(n - Zn+l), en+1(Zn+1)) in which {Zn} is a Markov chain with finite state space, and for every sta...
关键词:ERGODICITY Random environment Nonlinear time series 
THE PROBABILISTIC PROPERTIES OF THE NONLINEAR AUTOREGRESSIVE MODEL WITH CONDITIONAL HETEROSKEDASTICITY
《Acta Mathematicae Applicatae Sinica》1999年第1期9-17,共9页陈敏 安鸿志 
the National Natural Sciences Foundation of China;Probability Laboratory of Institute of Applied Ma
In this paper we examine the geometric ergodicities under fairly wide conditions for the following nonlinear autoregressive model
关键词:Nonlinear autoregressive model Markov chain the conditional heteroskedasticity geometrical ergodicity 
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