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ASYMPTOTIC BEHAVIOR OF BV FUNCTIONS AND SETS OF FINITE PERIMETER IN METRIC MEASURE SPACES 期刊论文
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2021, 卷号: 374, 期号: 11, 页码: 8201-8247
作者:  Eriksson-Bique, Sylvester;  Gill, James T.;  Lahti, Panu;  Shanmugalingam, Nageswari
收藏  |  浏览/下载:136/0  |  提交时间:2022/04/02
Bounded variation  finite perimeter  asymptotic limit  doubling measure  Poincare inequality  least gradient function  
Towards mesoscopic ergodic theory 期刊论文
SCIENCE CHINA-MATHEMATICS, 2020, 页码: 24
作者:  Qi, Weiwei;  Shen, Zhongwei;  Wang, Shirou;  Yi, Yingfei
收藏  |  浏览/下载:156/0  |  提交时间:2020/09/23
ergodic theory  stochastic differential equation  Fokker-Planck equation  stationary measure  physical measure  mesoscopic limit  
On limiting behavior of stationary measures for stochastic evolution systems with small noise intensity 期刊论文
SCIENCE CHINA-MATHEMATICS, 2020, 卷号: 63, 期号: 8, 页码: 1463-1504
作者:  Chen, Lifeng;  Dong, Zhao;  Jiang, Jifa;  Zhai, Jianliang
收藏  |  浏览/下载:205/0  |  提交时间:2020/09/23
stationary measure  Lyapunov function  limit measure  support  Birkhoff center  stochastic evolution system  
A criterion on a repeller being a null set of any limit measure for stochastic differential equations 期刊论文
SCIENCE CHINA-MATHEMATICS, 2020, 页码: 18
作者:  Chen, Lifeng;  Dong, Zhao;  Jiang, Jifa
收藏  |  浏览/下载:205/0  |  提交时间:2020/05/24
stationary measure  limit measure  support  Lyapunov function  repelling limit cycle  repelling quasi-periodic orbits  
Concentration and limit behaviors of stationary measures 期刊论文
PHYSICA D-NONLINEAR PHENOMENA, 2018, 卷号: 369, 页码: 1-17
作者:  Huang, Wen;  Ji, Min;  Liu, Zhenxin;  Yi, Yingfei
收藏  |  浏览/下载:185/0  |  提交时间:2018/07/30
Fokker-Planck equation  Stationary measure  Limit measure  Concentration  Stochastic stability  White noise perturbation  
Stochastic stability of measures in gradient systems 期刊论文
PHYSICA D-NONLINEAR PHENOMENA, 2016, 卷号: 314, 页码: 9-17
作者:  Huang, Wen;  Ji, Min;  Liu, Zhenxin;  Yi, Yingfei
收藏  |  浏览/下载:182/0  |  提交时间:2018/07/30
Fokker-Planck equation  Gradient systems  Gibbs measure  Limit measure  Stochastic stability  White noise perturbation  
High-frequency limit of the Helmholtz equation with variable refraction index 期刊论文
JOURNAL OF FUNCTIONAL ANALYSIS, 2006, 卷号: 230, 期号: 1, 页码: 116-168
作者:  Wang, XP;  Zhang, P
收藏  |  浏览/下载:122/0  |  提交时间:2018/07/30
Helmholtz equation  semi-classical measure  high frequency limit  uniform resolvent estimates  Schroedinger operator  Liouville equation  
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
作者:  Yin, G;  Zhang, HQ
收藏  |  浏览/下载:143/0  |  提交时间: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