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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Correction to a proposition related to ergodicity of Markov chains
《Frontiers of Mathematics in China》2021年第3期801-813,共13页Ziqi TAN Xianping GUO 
This work was supported in part by the National Natural Science Foundation of China(Grant Nos.11931018,61773411);the National Natural Science Foundation of Guangdong Province,China(Grant No.2021A1515010057);and Guangdong Province Key Laboratory of Computational Science at the Sun Yat-sen University,China(2020B1212060032).
Proposition 5.5.6(ii)in the book Markov Chains and Stochastic Stability(2nd ed,Cambridge Univ.Press,2009)has been used in the proof of a theorem about ergodicity of Markov chains.Unfortunately,an example in this paper...
关键词：Markov chain split chain petite set minorization condition 
Well-posedness and exponential mixing for stochastic magneto-hydrodynamic equations with fractional dissipations
《Frontiers of Mathematics in China》2021年第2期425-457,共33页Wei HONG Shihu LI Wei LIU 
The research of S.Li was supported by the National Natural Science Foundation of China(Grant No.12001247);the Natural Science Foundation of Jiangsu Province(No.BK20201019);the Natural Science Foundation of Jiangsu Higher Education Institutions of China(No.20KJB110015);the Foundation of Jiangsu Normal University(No.19XSRX023);The research of W.Liu was supported by the National Natural Science Foundation of China(Grant Nos.11822106,11831014,12090011)and the PAPD of Jiangsu Higher Education Institutions.
Consider d-dimensional magneto-hydrodynamic(MHD)equations with fractional dissipations driven by multiplicative noise.First,we prove the existence of martingale solutions for stochastic fractional MHD equations in the...
关键词：Magneto-hydrodynamic(MHD)equation martingale solution degenerate noise ERGODICITY exponential mixing 
Moments of first hitting times for bitth-death processes on trees被引量：1
《Frontiers of Mathematics in China》2019年第4期833-854,共22页Yuhui ZHANG 
The author acknowledges the constructive discussion with Professors Mu-Fa Chen, Yong-Hua Mao, and Yutao Ma, and thanks the anonymous referees for their very valuable suggestions and careful reading of the draft, which greatly improved the quality of the paper. This work was supported by the National Natural Science Foundation of China (Grant Nos. 11571043, 11771047, 11871008).
An explicit and recursive representation is presented for moments of the first hitting times of birth-death processes on trees. Based on that, the criteria on ergodicity, strong ergodicity, and l-ergodicity of the pro...
关键词：Eirth-death process on trees ERGODICITY hitting TIME RETURNING TIME 
Criteria on ergodicity and strong ergodicity of single death processes被引量：7
《Frontiers of Mathematics in China》2018年第5期1215-1243,共29页Yuhui ZHANG 
Based on an explicit representation of moments of hitting times for single death processes, the criteria on ergodicity and strong ergodicity are obtained. These results can be applied for an extended class of branchin...
关键词：Single death process ERGODICITY strong ergodicity RECURRENCE moments of hitting times 
Recurrence and decay a star-typed queueing properties of model with refusal
《Frontiers of Mathematics in China》2015年第4期917-932,共16页Junping LI Xiangxiang HUANG Juan WANG Lina ZHANG 
We consider a multiclass service system with refusal and bulk-arrival. The properties regarding recurrence, ergodicity, and decay properties of such model are discussed. The explicit criteria regarding recurrence and ...
关键词：Generation function bulk-arrival queue RECURRENCE ergodicity decay parameter invariant measure 
Central limit theorems for ergodic continuous-time Markov chains with applications to single birth processes被引量：4
《Frontiers of Mathematics in China》2015年第4期933-947,共15页Yuanyuan LIU Yuhui ZHANG 
We obtain sufficient criteria for central limit theorems （CLTs） for ergodic continuous-time Markov chains （CTMCs）. We apply the results to establish CLTs for continuous-time single birth processes. Moreover, we pr...
关键词：Markov process single birth processes central limit theorem （CLT） ergodicity 
Unified representation of formulas for single birth processes被引量：14
《Frontiers of Mathematics in China》2014年第4期761-796,共36页Mu-Fa CHEN Yuhui ZHANG 
Acknowledgements This work was supported by the National Natural Science Foundation of China （Grant No. 11131003）, the Specialized Research Fund for the Doctoral Program of Higher Education （No. 20100003110005）, the ＂985＂ project from the Ministry of Education in China, the Fundamental Research Funds for the Central Universities, and the Project Funded by the Priority Academic Program Development of Jiangsu Higher Education Institutions.
Based on a new explicit representation of the solution to the Poisson equation with respect to single birth processes, the unified treatment for various criteria on classical problems （including uniqueness, recurrenc...
关键词：Single birth process Poisson equation UNIQUENESS recurrence ergodicity moments of return time 
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