ERGODICITY

作品数：97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：《Science China Earth Sciences》《Theoretical & Applied Mechanics Letters》《Science China Mathematics》《Journal of Signal and Information Processing》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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Ergodicity and asymptotic stability of Feller semigroups on Polish metric spaces被引量：1
《Science China Mathematics》2015年第6期1235-1250,共16页GONG FuZhou LIU Yuan 
supported by the Financial Support from Key Laboratory of Random Complex Structures and Data Science,Academy of Mathematics and Systems Science,Chinese Academy of Sciences(Grant Nos.2008DP173182 and Y129161ZZ1);National Natural Science Foundation of China(Grant Nos.11021161 and 11201456);National Program on Key Basic Research Project of China(973 Program)(Grant No.2011CB808000)
We provide some sharp criteria for studying the ergodicity and asymptotic stability of general Feller semigroups on Polish metric spaces. As an application, the 2D Navier-Stokes equations with degenerate stochastic fo...
关键词：Polish continuity neighborhood asymptotic invariant eventually simply sharp stochastic simplicity 
Convergence rates for reversible Markov chains without the assumption of nonnegative definite matrices被引量：4
《Science China Mathematics》2010年第8期1979-1988,共10页MAO Yong-Hua School of Mathematical Sciences,Beijing Normal University,Laboratory of Mathematics and Complex Systems,Ministry of Education,Beijing 100875,China 
supported by Program for New Century Excellent Talents in University,National Basic Research Program of China (973 Project) (Grant No.2006CB805901);National Natural Science Foundation of China (Grant No.10721091)
Explicit convergence rates in geometric and strong ergodicity for denumerable discrete time Markov chains with general reversible transition matrices are obtained in terms of the geometric moments or uniform moments o...
关键词：MARKOV chain spectral theory convergence rate geometric ERGODICITY strong ERGODICITY Lyapunov’s condition 
ERGODICITY OF LINEAR SPDE DRIVEN BY LVY NOISE
《Journal of Systems Science & Complexity》2010年第1期137-152,共16页Zhao DONG Yingchao XIE 
supported by the Key Laboratory of Random Complex Structures and Data Scienc, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, 973 Project (2006CB8059000);Science Fund for Creative Research Groups (10721101);the National Science Foundation of China (10671197);the Science Foundation of Jiangsu Province (BK2006032, 06-A-038, 07-333)
This paper discusses the ergodicity of a linear stochastic partial differential equation driven by Levy noise.
关键词：ERGODICITY invariant measure L^vy noise linear SPDE. 
Algebraic convergence for discrete-time ergodic Markov chains被引量：10
《Science China Mathematics》2003年第5期621-630,共10页毛永华 
This work was supported in part by the 973 Project;the Research Fund for the Doctoral Program of Higher Education(Grant No.20010027007);the National Natural Science Foundation of China(Grant No,10121101); the National Natural Science Foundation of China for Distinguished Young Scholars(Grant No.10025105).
This paper studies the lergodicity for discrete-time recurrent Markov chains. It proves that thel-order deviation matrix exists and is finite if and only if the chain is (l+ 2)-ergodic, and then the algebraic decay ra...
关键词：MARKOV chain  ergodicity  ALGEBRAIC convergence  deviation matrix. 
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