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Exponential mixing for SPDEs driven by highly degenerate lévy noises Journal article
Illinois Journal of Mathematics, 2019,Volume: 63,Issue: 1,Page: 75-102
Authors:  Sun,Xiaobin;  Xie,Yingchao;  Xu,Lihu
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Analyzing complexity and fractality of glucose dynamics in a pregnant woman with type 2 diabetes under treatment Journal article
International Journal of Biological Sciences, 2019,Volume: 15,Issue: 11,Page: 2373-2380
Authors:  Chen X.;  Wang D.;  Lin J.;  Zhang T.;  Deng S.;  Huang L.;  Jin Y.;  Chen C.;  Zhang Z.;  Zheng J.;  Sun B.;  Bogdan P.;  Zhang X.D.
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Complexity Analysis  Continuous Glucose Monitoring  Fractal Analysis  Multiscale Sample Entropy  Type 2 Diabetes With Pregnancy  
Asymptotics for stochastic reaction-diffusion equation driven by subordinate Brownian motions Journal article
Stochastic processes and their applications, 2018,Volume: 128,Issue: 5,Page: 1772-1796
Authors:  Ran Wang;  Lihu Xu
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Stochastic Reaction-diffusion Equation  Subordinate Brownian Motions  Large Deviation Principle (Ldp)  Occupation Measure  
Irreducibility and Asymptotics of Stochastic Burgers Equation Driven by α-stable Processes Journal article
Potential Analysis, 2018,Page: 1-22
Authors:  Zhao Dong;  Feng-Yu Wang;  Lihu Xu
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Stochastic Burgers Equation  Α-stable Noises  Irreducibility  Ψ-uniformly Ergodicity  Moderate Deviation  
Asymptotics for stochastic reaction–diffusion equation driven by subordinate Brownian motion Journal article
Stochastic Processes and their Applications, 2018,Volume: 128,Issue: 5,Page: 1772-1796
Authors:  Wang,Ran;  Xu,Lihu
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Large deviation principle  Occupation measure  Stochastic reaction–diffusion equation  Subordinate Brownian motions  
Irreducibility of stochastic real Ginzburg-Landau equation driven by alpha-stable noises and applications Journal article
BERNOULLI, 2017,Volume: 23,Issue: 2,Page: 1179-1201
Authors:  Wang, Ran;  Xiong, Jie;  Xu, Lihu
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Alpha-stable Noises  Exponential Ergodicity  Irreducibility  Moderate Deviation Principle  Stochastic Real Ginzburg-landau Equation  
Irreducibility of stochastic real Ginzburg-Landau equation driven by a-stable noises and applications Journal article
Bernoulli, 2017,Volume: 23,Issue: 2,Page: 1179-1201
Authors:  Wang,Ran;  Xiong,Jie;  Xu,Lihu
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Exponential ergodicity  Irreducibility  Moderate deviation principle  Stochastic real Ginzburg-Landau equation  α-stable noises  
LARGE DEVIATION PRINCIPLE OF OCCUPATION MEASURES FOR NON-LINEAR MONOTONE SPDES Journal article
SCIENCE CHINA Mathematics, 2017
Authors:  RAN WANG;  JIE XIONG;  LIHU XU
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Stochastic Partial Differential Equations  Irreducibility  Hyper-exponential Recurrence  Large Deviation Principle  Occupation Measure  Strong Feller  
Gradient estimates for SDEs driven by multiplicative Lévy noise Journal article
Journal of Functional Analysis, 2015,Volume: 269,Issue: 10,Page: 3195
Authors:  Feng-YuWang;  Lihu Xu;  Xicheng Zhang
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Derivative Formula  Gradient Estimate  Lévy Process  Time-change  
Exponential mixing of 2D SDEs forced by degenerate Lévy noises Journal article
Journal of Evolution Equations, 2014,Volume: 14,Issue: 2,Page: 249-272
Authors:  Lihu Xu
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Sdes Driven By Degenerate Α-stable Noises  Coupling  Exponential Mixing