云南高校图书馆联盟文献共享服务平台- ERGODICITY

ERGODICITY: 作品数：98被引量：101H指数：6; 导出分析报告; 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>>

Ergodicity of 3D Stochastic Burgers Equation: 《Acta Mathematica Sinica,English Series》2024年第2期498-510,共13页Zhao DONG Jiang Lun WU Guo Li ZHOU; supported by National Key R&D Program of China(Grant Nos.2020YFA0712700);NNSF of China(Grant Nos.12090014,11931004,11971077);Key Laboratory of Random Complex Structures and Data Science,Academy of Mathematics and Systems Science,Chinese Academy of Sciences(Grant No.2008DP173182);Chongqing Key Laboratory of Analytic Mathematics and Applications,Chongqing University;Natural Science Foundation Project of CQ(Grant No.cstc2020jcyj-msxmX0441);Fundamental Research Funds for the Central Universities(Grant No.2020CDJ-LHZZ-027)。; 3D Burgers equation is an important model for turbulence.It is natural to expect the long-time behaviour for this hydrodynamics equation.However,there is no result about the long-time behaviour for this deterministic ...; 关键词：3D stochastic Burgers equations maximum principle ERGODICITY

Optimal Markovian Coupling and Exponential Convergence Rate for the TCP Process: 《Acta Mathematica Sinica,English Series》2021年第3期378-388,共11页Jian Hai BAO Jing Hai SHAO; Supported NNSF of China(Grant Nos.11771327,2018JJ2478,11831014,12071340)。; In this work, by constructing optimal Markovian couplings we investigate exponential convergence rate in the Wasserstein distance for the transmission control protocol process. Most importantly, we provide a variation...; 关键词：TCP process ERGODICITY optimal Markovian coupling Wasserstein distance

Uniform and Semi-uniform Convergence for Discontinuous Skew-product Transformation and Observation: 《Acta Mathematica Sinica,English Series》2021年第2期333-344,共12页Xia PAN Zuo Huan ZHENG Zhe ZHOU; Supported by National Natural Science Foundation of China(NSFC)(Grant Nos.11671382 and 11301512);Key Laboratory of Random Complex Structures and Data Science,Academy of Mathematics and Systems Science,Chinese Academy of Sciences(Grant No.2008DP173182);CAS Key Project of Frontier Sciences(Grant No.QYZDJ-SSW-JSC003);National Center for Mathematics and Interdisciplinary Sciences。; In this paper, for a discontinuous skew-product transformation with the integrable observation function, we obtain uniform ergodic theorem and semi-uniform ergodic theorem. The main assumptions are that discontinuity ...; 关键词：Skew-product transformation uniform ergodicity semi-uniform ergodicity

Nonlinear Branching Processes with Immigration被引量：1: 《Acta Mathematica Sinica,English Series》2017年第8期1021-1038,共18页Pei-Sen LI; Supported by NSFC(Grant Nos.1131003,11626245 and 11571043); The nonlinear branching process with immigration is constructed as the pathwise unique solution of a stochastic integral equation driven by Poisson random measures. Some criteria for the regularity, recurrence, ergodi...; 关键词：Nonlinear branching process IMMIGRATION stochastic integral equation REGULARITY RECURRENCE ERGODICITY strong ergodicity

Weighted Least Absolute Deviations Estimation for Periodic ARMA Models被引量：1: 《Acta Mathematica Sinica,English Series》2015年第8期1273-1288,共16页Baoguo PAN Min CHEN Yan WANG; Supported by National Natural Science Foundation of China(Grant Nos.10990012 and 11021161); This paper investigates the weighted least absolute deviations estimator（WLADE） for causal and invertible periodic autoregressive moving average（PARMA） models. Asymptotic normality of the estimator is derived unde...; 关键词：Periodic ARMA WLADE asymptotic normality strict periodic stationarity periodic ergodicity

The Ergodicity of a Class of Almost Anosov Systems: 《Acta Mathematica Sinica,English Series》2013年第1期193-198,共6页Yun Hua ZHOU; Supported by National Natural Science Foundation of China(Grant No.11001284);Natural Science FoundationProject of CQ CSTC(Grant No.cstcjjA00003);Fundamental Research Funds for Central Universities(CDJZR10100006); In this paper, we prove that some volume-preserving almost Anosov systems are ergodic if they are essentially accessible. The key idea is that there are stable and unstable manifolds with uniform size on the orbits Of...; 关键词：ERGODICITY almost Anosov essential accessibility

The Ergodicity of Stochastic Partial Differential Equations with Levy Jump: 《Acta Mathematica Sinica,English Series》2011年第12期2415-2436,共22页Guo Li ZHOU Zhen Ting HOU; Supported by the National Science Foundation of China （Grant Nos. 90820302, 11071258/A0110） and Fundamental Research Funds for the Central Universities （Grant No. CDJRC10100011）; In this article, the authors prove the uniqueness in law of a class of stochastic equations in infinite dimension, then we apply it to establish the existence and uniqueness of invariant measure of the generalized sto...; 关键词：Stochastic partial differential equation Levy processes

Explicit Convergence Rates of the Embedded M/G/1 Queue被引量：1: 《Acta Mathematica Sinica,English Series》2007年第7期1289-1296,共8页Yuan Yuan LIU Zhen Ting HOU; Supported by National Natural Science Foundation of China(No.10171009); This paper investigates the explicit convergence rates to the stationary distribution π of the embedded M/G/1 queue; specifically, for suitable rate functions r（n） which may be polynomial with r（n） = n^l, l 〉 0 ...; 关键词：convergence rate Markov chains QUEUES polynomial ergodicity geometric ergodicity

Ergodicity of Quasi-birth and Death Processes(Ⅰ)被引量：1: 《Acta Mathematica Sinica,English Series》2007年第2期201-208,共8页Zhen Ting HOU Xiao Hua LI; partially supported by NSFC(No.10171009);Research Fund for PhD Programs of MOE of China(No.20010533001);Research Fund for Educational Innovation for Doctorates of CSU(No.030602); Quasi-birth and death processes with block tridiagonal matrices find many applications in various areas. Neuts gave the necessary and sufficient conditions for the ordinary ergodicity and found an expression of the st...; 关键词：ERGODICITY quasi-birth and death process Markov chain matrix geometric solutions

On the Limit Cycles of Quadratic Differential Systems: 《Acta Mathematica Sinica,English Series》2002年第4期803-816,共14页Xiang ZHANG Department of Mathematics, Shanghai Jiaotong University, Shanghai 200030, P. R. China; The project is partially supported by the National Natural Foundation of China with the grant number 10901013.; In this paper we give the necessary and sufficient conditions for all finite critical points of quadratic differential systems to be weak foci, and solve an open problem proposed by Yanqian Ye.; 关键词：Quadratic differential system Limit cycle Ergodicity.

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