人物經歷
● 1991.9-1995.7 於華中理工大學數學系套用數學專業學習,並獲取理學學士學位
● 1995.9-2000.7 於華中科技大學數學系機率統計專業碩博連讀,並獲取理學博士學位
● 1999.12-2000.09 華中科技大學數學系助教。
● 2000.10-2003.06 華中科技大學數學系講師。
● 2003.07-2007.06 華中科技大學數學系副教授。
● 2007.07-2010.04 華中科技大學數學系教授。
● 2010.04.27 受聘為武漢大學數學與統計學院教授。
● 2001.09-2002.09 葡萄牙里斯本大學博士後,其中於2002年2月受法國科學院院士Malliavin邀請訪問巴黎一周。
● 2004.02-2004.08 法國La Rochelle大學博士後。
● 2006.02-2007.06 德國洪堡獎學金資助於德國Bielefeld大學從事隨機分析研究。
● 2007.06-2009.06 澳大利亞新南威爾斯大學博士後。
研究方向
Wiener泛函以及Poisson泛函的Malliavin分析,隨機流,隨機偏微分方程,動力系統隨機擾動的大偏差,Navier-Stokes方程的機率方法等。
主要貢獻
科研成果
1.2001.01-2003.12 承擔國家自然科學基金專項基金(天元基金):跳過程與Brown運動泛函的分析,資助金額:2萬元。 已結題。
2.2004.01-2006.12 承擔國家自然科學基金青年基金:Rieman軌道空間上的Malliavin分析,資助金額:8萬元。已結題。
3.2003.01-2005.12 教育部留學回國人員基金:軌道空間上的分析,資助金額:2萬元。已結題。
4. 2013.7.27--至今 國家傑出青年科學基金:隨機流與隨機偏微分方程。
期刊論文
42. Zhang, X.(2009): Clark-Ocone Formula and Variational Representation for Poisson Functionals. Annals of Prob., in press.
41. Rǒckner, M., Zhang, X.(2009): Stochastic Tamed 3D Navier-Stokes Equations: Existence, Uniqueness and Ergodicity. Prob. Theory and Rela. Fields, in press.
40. Goldys B., Rǒckner M., Zhang X.(2009): Martingale Solutions and Markov Selections for Stochastic Partial Differential Equations. Stochastic Processes and their Applications, in press.
39. Zhang, X.(2009): Exponential Ergodicity of Non-Lipschitz Stochastic Differential Equations. Proc. Amer. Math. Soc. 137 (2009), 317-327 .
38. Qiao, H., Zhang, X.: Homeomorphism Flows for Non-Lipschitz Stochastic Differential Equations with Jumps. Stochastic Processes and their Applications, 118 (2008), pp. 2254-2268.
37. Rǒckner, M., Schmuland, B., Zhang, X.(2008): Yamada-Watanabe Theorem for Stochastic Evolution Equations in Infinite Dimensions. Condensed Matter Physics, Vol.11, No.2(54), 247-259(2008).
36. Zhang, X.(2008): A Regularity Criterion for the Solutions of 3D Navier-Stokes Equations. J. Math. Analysis and Appl., Vol.346, 336-339(2008).
35. Ren, J. and Zhang, X.(2008): Freidlin-Wentzells Large Deviations for Stochastic Evolution Equations. J. of Functional Analysis, Vol.254, 3148-3172(2008).
34. Zhang, X.(2008): Euler Schemes and Large Deviations for Stochastic Volterra Equations with Singular Kernels. J. of Differential Equation, Vol. 224, 2226-2250(2008).
33. Wang, Z., Zhang, X.(2007): Non-Lipschitz Backward Stochastic Volterra Type Equations with Jumps. Stochastic and Dynamics, Vol. 7 (2007), no. 4, 479--496.
32. Zhang, X., Zhang, X.(2007): Probability Approaches To Spatially Homogeneous Boltzmann Equations. Stochastic Analysis and Applications, Vol. 25, 1129-1150.
31. Zhang, X.(2007): Regularities for Semilinear Stochastic Partial Differential Equations. J. Fun. Anal., Volume 249, Issue 2, 15 August 2007, Pages 454-476.
30. Ren, J., Zhang, X.(2007): Regularity of local times of random fields. J. Fun. Anal., Volume 249, Issue 1, 1 August 2007, Pages 199-219.
29. Ren, J., Rǒckner, M., Zhang, X.(2007): Kusuoka-Stroock Formula on Configuration Space and Regularities of Local Times with Jumps, Potential Analysis, vol. 26, no. 4, pp. 363-396(2007).
28. Zhang, X.(2007): Skorohod problem and multivalued stochastic evolution equations in Banach spaces. Bull. Sci. Math. France, 131, pp.175-217.
27. Qiao, H., Zhang, X.(2007): Homeomorphism of solutions to backward SDEs and applications, Stochastic Processes and their Applications, Vol 117/3 pp 399-408.
26. Zhang, X.(2007): Variational Approximation of Fokker-Planck Equation on Riemannian manifold, Prob. Theory and Rela. Fields, vol. 137, no. 3, pp. 519-539.
25. Ren, J., Zhang, X.(2006): Continuity Modulus of stochastic homeomorphism flows for SDEs with non-Lipschitz coefficients, J. Func. Anal., Volume 241, Issue 2, Pages 439-456.
24. Zhang, X., Zhu J.(2006): Non-Lipschitz stochastic differential equations driven by multi-parameter Brownian motions, Stochastic and Dynamic, Vol. 6, No. 3, 329-340.
23. Zhang, X.(2006): Lp-Theory of Semi-linear SPDEs on General Measure Spaces and Applications, J. Func. Anal., Vol. 239/1 pp 44-75.
22. Cruzeiro, A.B. and Zhang, X.(2006): Bismut type formulae for diffusion semigroups on Riemannian manifolds, Potential Analysis, Volume 25, Number 2, Pages: 121 - 130.
21. Zhang, X., Zhang, X.(2006): Supports of Measure Solutions for Spatially Homogeneous Boltzmann Equations, Journal of Statistics Physics, vol. 124, no. 2, pp. 485-495.
20. Zhang, X.(2006): Relatively compact criterions of Hilbert valued random fields on abstract Wiener space, C.R.Acad. Sci. Paris, Sèrie 1., Volume 342, Issue 6, Pages 437-440.
19. Zhang, X.(2006): Euler-Maruyama approximations for SDEs with Non-Lipschitz Coefficients and Applications, J. Math. Anal. and Appl., Vol 316/2 pp 447-458.
18. Zhang, X.(2006): Relatively compact families of functionals on abstract Wiener space and applications, J. Func.Anal., Vol.232/1, 195-221.
17. Privault, N., Zhang, X.(2005): Deviation inequalities and Law of Iterated Logarithm on the Path Space over Loop Groups, Stochastic and Stochastic Reports, Vol.77, No.6, 515-536.
16. Cao, G., He, K. and Zhang, X.(2005): Successive approximations of infinite dimensional SDEs with jump, Stochastic and Dynamic, Vol.5, No. 4, 609-619.
15. Zhang, X.(2005): Strong solutions of SDEs with singular drift and Sobolev diffusion coefficients, Stochastic Processes and their Applications, 115/11 pp. 1805-1818.
14. Ren, J. and Zhang X.(2005): Freidlin-Wentzells large deviations for homeomorphism flows of non-Lipschitz SDEs, Bull. Sci. Math. 2 Serie, Vol 129/8 pp 643-655.
13. Zhang, X.(2005): Metric entropies of sets in abstract Wiener space, Bull. Sci. Math. 2 Serie, Vol. 129, Issue 7, 559-566.
12. Ren, J. and Zhang X.(2005): Schilder theorem for the Brownian motion on the diffeomorphism group of the circle, J. Func. Anal., Vol. 224, I. 1, 107-133.
11. Zhang, X.(2005): Homeomorphic flows for multi dimensional SDEs with non-Lipschitz coefficients, Stochastic Processes and their Applications, 115, 435-448(2005). (Erratum)116, 873-875(2006).
10. Zhang, X.(2004): Horizontal lift of Ornstein-Uhlenbeck process on path space over Riemannian manifold. Bull. Sci. Math. 2 Serie, Vol. 128, No. 5, 333-340.
9. Cruzeiro, A.B. and Zhang, X.(2003): Finite dimensional approximation of Riemannian path space geometry. J. Func. Anal., Vol. 205, No. 1, 206-270.
8. Ren, J. and Zhang, X.(2003): Stochastic flows for SDEs with non-Lipschitz coefficients. Bull. Sci. Math. 2 Serie, Vol. 127, No. 8, 739-754.
7. Ren, J. and Zhang, X.(2003): Path continuity of fractional Dirichlet functionals. Bull. Sci. Math. 2 Serie, Vol. 127, No. 4, 368-378.
6. Zhang, X.(2002): Regularity of stopping times of diffusion processes in Besov spaces. Studia Mathematica, Vol. 151, No. 1, 23-29.
5. Ren, J. and Zhang, X.(2002): Quasi sure analysis of two parameter stochastic differential equation. Stochastics and Stochastics Reports, Vol. 72, No. 3-4, 251-276.
4. Zhang, X.(2001): On the quasi everywhere regularity of the local time of 1-dimensional diffusion process in Besov space. Statistics & Probability Letters, Vol. 54, No. 2, 161-169.
3. Zhang, X. and Zhou, S.(2000): Stratonovich anticipative stochastic differential equations in the plane. Stochastics and Stochastics Reports, Vol. 69, No. 1-2, 105-121.
2. Airault, H. and Zhang, X.(2000): Smoothness of indicator functions of some sets in Wiener spaces. J. Math. Pures Appl., Vol. 79, No. 5, 515-523.
1. Airault, H., Ren, J. and Zhang, X.(2000): Smoothness of local times of semimartingales. C.R.Acad. Sci. Paris, t.330, Sèrie 1, Vol. 330, No. 8, 719-724.