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Decomposition formula and stationary measures for stochastic Lotka-Volterra system with applications to turbulent convection 期刊论文
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2019, 卷号: 125, 页码: 43-93
Authors:  Chen, Lifeng;  Dong, Zhao;  Jiang, Jifa;  Niu, Lei;  Zhai, Jianliang
Favorite  |  View/Download:172/0  |  Submit date:2020/01/10
Stochastic Lotka-Volterra system  Stationary measure  Ergodicity  Support  Stochastically cyclical oscillation  Turbulence  
Singularly perturbed Markov chains: Limit results and applications 期刊论文
ANNALS OF APPLIED PROBABILITY, 2007, 卷号: 17, 期号: 1, 页码: 207-229
Authors:  Yin, George;  Zhang, Hanqin
Favorite  |  View/Download:104/0  |  Submit date:2018/07/30
singular perturbation  Markov chain  asymptotic expansion  occupation measure  diffusion process  
Two-time-scale Markov chains and applications to quasi-birth-death queues 期刊论文
SIAM JOURNAL ON APPLIED MATHEMATICS, 2005, 卷号: 65, 期号: 2, 页码: 567-586
Authors:  Yin, G;  Zhang, HQ
Favorite  |  View/Download:90/0  |  Submit date:2018/07/30
Markov chain  singular perturbation  countable state space  asymptotic expansion  occupation measure  aggregation  switching diffusion  quasi-birth-death queue  
Countable-state-space Markov chains with two time scales and applications to queueing systems 期刊论文
ADVANCES IN APPLIED PROBABILITY, 2002, 卷号: 34, 期号: 3, 页码: 662-688
Authors:  Yin, G;  Zhang, HQ
Favorite  |  View/Download:86/0  |  Submit date:2018/07/30
Markov chain  singular perturbation  countable state space  asymptotic expansion  occupation measure  functional central limit theorem  M(t)/M(t)/1 queue  fluid model  
Multifractal structure of a general subordinator 期刊论文
STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2000, 卷号: 88, 期号: 2, 页码: 245-258
Authors:  Hu, XY;  Taylor, SJ
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multifractal structure  general subordinator  Hausdorff dimension  thin points  
Multifractal analysis of the occupation measures of a kind of stochastic processes 期刊论文
STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 1999, 卷号: 80, 期号: 2, 页码: 249-269
Authors:  Hu, XY
Favorite  |  View/Download:72/0  |  Submit date:2018/07/30
local dimension  Hausdorff dimension  packing dimension  multifractal spectrum