基本介紹
- 中文名：解龍傑
- 學位/學歷：博士
- 職業：教師
- 任職院校：江蘇師範大學
個人經歷,研究方向,獲獎情況,學術成果,
個人經歷
教育經歷：
1. 2011/9-2016/6, 武漢大學， 機率論與數理統計， 1+4碩博連讀，
導師：張希承教授
2. 2007/9-2011/6，中南大學， 數學與套用數學， 學士
期間2009/9-2010/6，山東大學， 數學與統計學院， 交流生
科研與學術經歷：
1.2018/12-2020/2，Bielefeld University，德國洪堡學者
2.2017/7-2018/7， University of Illinois at Urbana Champion(UIUC)，訪問學者
3.2016/7， 江蘇師範大學，數學與統計學院，講師/教授
4.2016/3-2016/6，澳門大學，科技學院，訪問學者
研究方向
隨機分析及其套用/隨機微分方程/Levy 過程
獲獎情況
1. 第十四屆鐘家慶數學獎 （2019年11月）
2. 第七屆江蘇省數學成就獎（2020年11月）
學術成果
發表論文
1. L. Xie and X. Zhang: Heat kernel estimates for critical fractional diffusion operators. Studia Math.,224 (2014), 221--264.
2. L. Wang, L. Xie and X. Zhang: Derivative formula for SDEs driven by multiplicative stable-like processes. Stoch. Proc. Appl.,125 (2015), 867--885.
3. L. Xie and X. Zhang: Sobolev differentiable flows of SDEs with local Sobolev and super-linear growth coefficients. Ann. Probab.,44 (2016), 3661--3687.
4. L. Xie: Singular SDEs with critical non-local and non-symmetric Levy type generator. Stoch. Proc. Appl.,127 (2017), 3792--3824.
5. Z.-Q. Chen, E. Hu, L. Xie and X. Zhang: Heat kernels for non-symmetric diffusion operators with jumps. J. Diff. Equations, 263 (2017), 6576--6634.
6. L. Xie: Exponential ergodicity for stochastic Langevin equation with partial dissipative drift. Appl. Math. Lett.,79 (2018), 34--42.
7. Y. Li, L. Xie and Y. Xie: Well-posedness of SDEs with drifts in mixed-norm spaces and driven by mixed-noises. J. Diff. Equations, 266 (2019), 2638--2665.
8. P. Chen, R. Song, L. Xie and Y. Xie: Heat kernel estimates for Dirichlet fractional Laplacian with gradient perturbation. J. Korean Math. Soc., 56 (2019), 91--111.
9. G. Lv, J. Wei and L. Xie: Blowup solutions of Grushin’s operator. Appl. Math. Lett.,97 (2019), 20--26.
10. X. Sun, L. Xie and Y. Xie: Pathwise uniqueness for a class of SPDEs driven by cylindrical α-stable processes. Potential Anal., 53 (2020), 659--675.
11. L. Xie and X. Zhang: Ergodicity of stochastic differential equations with jumps and singular coefficients. Ann. Inst. Henri Poincare-Pr., 2020, Vol. 56, No. 1, 175--229.
12. R. Song, L. Xie and Y. Xie: Sharp heat kernel estimates for spectral fractional Laplacian perturbed by gradient. Sci. China Math.,63 (2020), 2343--2362.
13. R. Song and L. Xie: Well-posedness and long time behavior of singular Langevin stochastic differential equations. Stoch. Proc. Appl.,130 (2020) 1879--1896.
14. W. Liu, R. Song and L. Xie: Gradient estimates for the fundamental solution of Lévy type operator. Adv. Nonlinear Anal., 2020; 9: 1453--1462.
15. X. Sun, L. Xie and Y. Xie: Derivative formula for the Feynman–Kac semigroup of SDEs driven by rotationally invariant α-stable process. Stat. Prob. Lett.,158 (2020) 108664.
16. P. Xia, L. Xie, X. Zhang and G. Zhao: Lq(Lp)-theory of stochastic differential equations. Stoch. Proc. Appl., 130 (2020) 5188--5211.
17. M. Roeckner, L. Xie and X. Zhang: Superposition principle for non-local Fokker-Planck-Kolmogorov operators. Prob. Theory Rel. Fields, 178 (2020), 699--733.
18. X. Sun, L. Xie and Y. Xie: Averaging principle for slow-fast stochastic partial differential equations with Hölder continuous coefficients.J. Diff. Equations, 270 (2021) 476--504.
19. M. Roeckner and L. Xie: Diffusion approximation for fully coupled stochastic differential equations. Ann. Probab., 49 (2021), 1205--1236.
20. C. Ling and L. Xie: Strong solutions of stochastic differential equations with coefficients in mixed-norm spaces. Potential Anal., DOI: 10.1007/s11118-021-09913-4.
21. M. Roeckner and L. Xie: Averaging principle and normal deviations for multiscale stochastic systems. Commun. Math. Phys., 383 (2021), 1889--1937.
22. X. Sun, L. Xie and Y. Xie: Strong and weak convergence rates for slow-fast stochastic differential equations driven by $\alpha$-stable process. To appear in Bernoulli.
