邵井海

邵井海 教师名称：邵井海 教师拼音名称：Shao Jinghai 出生日期：1978-11-07 性别：男 职称：教授 其他联系方式 邮箱：shaojh@bnu.edu.cn 基本信息 研究方向 获奖情况 论文成果 My research interests are Stochastic analysis on infinite dimensional spaces, Functional inequalities, Optimal transport map, Risk management and Regime-switching processes. Interested in the Functional inequalities, Stochastic analysis in infinite dimensional space, Optimal transport map, Estimation and Calculation of exit probability for stochastic processes, Regime-switching processes 2008, National Excellent Doctoral Dissertation of P.R. China, Ministry of Education 2007, Zhong Jiaqing Mathematics award, Chinese Mathematical Society 30. J. Shao, L.D. Wang, Variational formula for the stability of regime-switching diffusion processes, to appear SCIENCE CHINA Mathematics..2017 29. J. Shao, Ergodicity and first passage probability of regime-switching geometric Brownian motions, to appear in Chinese Annals of Mathematics, Series B. .2017 28. J. Shao, Stabilization of regime-switching process by feedback control based on discrete time observations, SIAM J. Control Optim. 55 (2017), no. 2, 724–740..2017 27. J. Bao, J. Shao, C. Yuan, Approximation of invariant measures for regime switching diffusions, Potential Anal. 44 (2016), no. 4, 707–727. .2017 26. J. Bao, J. Shao, Permanence and extinction of regime-switching predator-prey models, SIAM J. Math. Anal. 48 (2016), no. 1, 725–739. .2017 25. J. Shao, Strong solutions and strong Feller properties for regime-switching diffusion processes in an infinite state space, SIAM J. Control Optim. 53 (2015), no. 4, 2462-2479. .2017 24. J. Shao, Criteria for transience and recurrence of regime-switching diffusion processes, Electron. J. Probab. 20 (2015), no. 63, 1–15..2017 23. H. Ji, J. Shao, First passage probabilities of one-dimensional diffusion process, Front. Math. China, 10(2015), 901–916..2017 22. J. Shao, C.G. Yuan, Transportation-cost inequalities for diffusions with jumps and its application to regime-switching processes. J. Math. Anal. Appl. 425 (2015), 632–654. .2017 21. J. Shao, Ergodicity of regime-switching diffusions in Wasserstein distances, Stoch. Proc. Appl. 125 (2015), pp. 739-758..2017 20. J. Shao, F. Xi, Stability and recurrence of regime-switching diffusion processes, SIAM J. Control Optim. 52(6), 3496-3516, 2014. .2017 19. J. Shao, Ergodicity of one-dimensional regime-switching diffusion processes, SCIENCE CHINA Mathematics 57(11), 2407-2414, 2014..2017 18. J. Shao, F. Xi, Strong ergodicity of the regime-switching diffusion processes. Stoch. Proc. Appl. 123 (2013), 3903-3918..2017 17. F. Xi, J. Shao, Successful Couplings for Diffusion Processes with State-Dependent Switching, SCIENCE CHINA Mathematics, 56(10), 2013, 2135-2144. .2017 16. J. Shao, Harnack inequalities and heat kernel estimates for SDEs with singular drifts, Bull. Sci. Math. 137(2013), 589-601. .2017 15. J. Shao, X. Wang, Estimates of exit probability for two correlated Brownian motions, Adv. Appl. Prob. 45(2013), 37-50 .2017 14. J. Shao, F.Y. Wang, C.G. Yuan, Harnack Inequalities for Stochastic (Functional) Differential Equations with Non-Lipschitzian Coefficients, Electron. J. Probab. 17 (2012), no. 100, 1–18. .2017 13. J. Shao, Measure-valued continuous curves and processes in total variation norm, J. Math. Anal. Appl. 392 (2012) 179-191..2017 12. S. Fang, J. Shao, Fokker-Planck equation with respect to heat measures on loop groups, Bull. Sci. math. 135 (2011) 775–794.2017 11. J. Shao, Transportation cost inequalities for Wasserstein diffusions, Bull. Sci. Math. 135 (2011), 383-394.2017 10. J. Shao, A new probability measure-valued stochastic process with Ferguson -Dirichlet process as reversible measure, Electron. J. Probab. 16 (2011) 271-292. .2017 9. J. Shao, From the heat measure to the pinned Wiener measure on loop groups， Bull. Sci. Math. 135 (2011) 601–612..2017 8. J. Shao, Harnack inequalities and HWI inequalities on infinite dimensional spaces, Acta Mathematica Sinica, English Series, 27 (2011), No. 6, 1195-1204..2017 7. S. Fang, J.Shao, T. Sturm, Wasserstein space over the Wiener space, Probab. Theory Related Fields, 146 (2010), 535-565.2017 6. J. Shao, Modified Logarithmic Sobolev Inequalities and Transportation Cost Inequalities in ℝn, Potential Analysis，31 ( 2009)，183-202.2017 5．J. Shao, Y.H. Mao, Estimation of the Dirichlet eigenvalues of birth-death process on trees, ACTA Math. Sinica. Chinese series, 50( 2007), 507-516 .2017 4．S. Fang, J. Shao, Optimal transport maps for Monge-Kantorovich problem on loop groups, J. Funct. Anal. 248(2007), 225-257. .2017 3．J. Shao, Hamilton-Jacobi semigroups in infinite dimensional spaces, Bull. Sci. Math. 130 (2006), 720-738. .2017 2．S. Fang, J. Shao, Distance riemannienne, théorème de Rademacher et inégalité de transport sur le groupe des lacets, C.R. Acad. Sci. Paris. Ser. I 341(2005), 445-450. .2017 1．S. Fang, J. Shao, Transportation cost inequalities on path and loop groups, J. Functional Analysis 218 (2005), 293-317..2017 教育经历 2003.9-2006.1 Beijing Normal University   Probability   Ph.D 2003.9-2006.9 University of Bourgogne, France   Mathematics   Ph.D 2000.9-2003.7 Beijing Normal University   Mathematics   Master 1996.9-2001.7 Beijing Normal University   Mathematics   B.C 工作经历 2017.1 -2019.12 |Center for Applied Mathematics|Tianjin University 2006.10 -2016.12 |School of Mathematical Sciences|Beijing Normal University