国家自然科学基金(10025105)

作品数：7被引量：29H指数：3
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On Supercontractivity for Markov Semigroups
《Acta Mathematica Sinica,English Series》2007年第5期905-914,共10页Yong Hua MAO 
Research supported in part by RFDP(No 20010027007);973 Project;NSFC(No 10121101,No 10025105 and No 10301007)
In this paper, we study the supercontractivity for Maxkov semigroups and obtain some sufficient and necessary conditions; especially explicit formulae are obtained for birth-death process and diffusion on the line. Su...
关键词：Markov semigroup logarithmic Sobolev inequality supercontractivity compact embedding 
概率论——一维Brusselator模型的一个性质
《中国学术期刊文摘》2006年第7期12-12,共1页吴波 张余辉 
国家自然科学慕金资助（10121101,10025105,10101003）
用2种方法证明了一维Brusselator模型所对应的Q过程不满足超Poincaré不等式，并对其一种修正模型获得了同样的结论．
关键词：BRUSSELATOR模型 强遍历 超Poincaré不等式 
Weak Poincaré Inequalities,Decay of Markov Semigroups and Concentration of Measures被引量：3
《Acta Mathematica Sinica,English Series》2005年第4期937-942,共6页Feng Yu WANG Qi Zhi ZHANG 
Research supported in part by NNSFC(10121101,10025105),TRAPOYT;the 973-Project
For a reasonable class of weak Poincaré inequalities, the decay of the corresponding Markov semigroups obtained earlier by Rockner and the first named author is improved by removing an extra L^2-norm. Next, a concent...
关键词：Weak Poincaré inequality Markov semigroup Concentration of measures 
Ergodic degrees for continuous-time Markov chains被引量：17
《Science China Mathematics》2004年第2期161-174,共14页MAO Yonghua 
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 Nos.10121101 and 10301007);the National Natural Science Foundation of China for Distinguished Young Scholars(Grant No.10025105).
This paper studies the existence of the higher orders deviation matrices for continuous time Markov chains by the moments for the hitting times. An estimate of the polynomial convergence rates for the transition matri...
关键词：MARKOV chain  ERGODIC degree  hitting time  CONVERGENCE to stationary. 
泛函不等式及其应用(英文)被引量：1
《数学进展》2003年第5期513-528,共16页王凤雨 
Research supported in part by NSFC(No. 10121101, No. 10025105), TRAPOYT and the 973-Project
本文介绍有关泛函不等式及谱理论与马氏过程研究的若干新进展.我们首先简要回顾了两个著名不等式,即Poincar不等式与对数不等式,然后分别使用泛函不等式研究本征谱、马氏半群的收敛速度和运费不等式.
关键词：泛函不等式 谱理论 马氏过程 POINCARE不等式 对数不等式 马氏半群 本征谱 收敛速度 运费不等式 
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. 
Coupling,convergence rates of Markov processes and weak Poincaré inequalities被引量：2
《Science China Mathematics》2002年第8期975-983,共9页王凤雨 
This work was partially supported by the National Natural Science Foundation of China for Distinguished Young Scholars (Grant No. 10025105); the National Natural Science Foundation of China (Grant No. 10121101); Core Teachers Project and Teaching and R
Some analytic and probabilistic properties of the weak Poincaré inequality are obtained. In particular, for strong Feller Markov processes the existence of this inequality is equivalent to each of the following: (i)t...
关键词：weak Poincaré inequality harmonic function Markov process tail σ-field COUPLING 
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