数学学院

发表及待发的论文：

55. Liu Y. and Qiao H.: Large deviations for generalized backward stochastic differential equations, https://arxiv.org/abs/2407.15584.

54. Qiao H.: Probabilistic approach to homogenization for a type of multivalued Dirichlet-Neumann

problems, https://arxiv.org/abs/2406.00564.

53. Qiao H.: Average principles for forward-backward multivalued stochastic systems and

homogenization for systems of nonlinear parabolic PDEs, https://arxiv.org/abs/2311.06715.

52. Qiao H.: Average principles and large deviation principles of multiscale multivalued

McKean-Vlasov stochastic systems, http://arxiv.org/abs/2307.14561.

51. Qiao H.: Asymptotic behaviors of multiscale multivalued stochastic systems with small

noises, http://arxiv.org/abs/2306.06922.

50. Qiao H.: The central limit theorem for stochastic Volterra equations with singular kernels,

http://arxiv.org/abs/2303.01715.

49. Qiao H. and Wei W.: Weak approximation of nonlinear filtering for multiscale

McKean-Vlasov stochastic systems, http://arxiv.org/abs/2212.00240.

48. Qiao H. and Wu J.-L.: Path independence of the additive functionals for stochastic Volterra equations with singular kernels and Hölder continuous coefficients, http: //arxiv.org/abs/2207.03094.

47. Qiao H. and Wei W.: Strong approximation of nonlinear filtering for multiscale

McKean-Vlasov stochastic systems, http://arxiv.org/abs/2206.05037.

46. Qiao H.: Limit theorems of stochastic differential equations with jumps, http://arxiv.org/abs/2002.00024.

45. Qiao H. and Gong J.: Stability for multivalued McKean-Vlasov stochastic differential equations, to appear on Frontiers of Mathematics.

44. Qiao H. and Zhu S.: A limit theorem of nonlinear filtering for multiscale McKean-Vlasov

stochastic systems, to appear on Comptes Rendus - Série Mathématique.

43. Qiao H. and Zhu S.: Large deviation principles of nonlinear filtering for McKean-Vlasov

stochastic differential equations, to appear on Stochastics.

42. Liu M. and Qiao H.: Uniqueness and superposition of the space-distribution dependent Zakai equations, Infin. Dimens. Anal. Quantum Probab. Relat. Top., 27(2024)2350014(24 pages).

41. Qiao H.: Limit theorems of invariant measures for multivalued McKean-Vlasov stochastic

differential equations, Journal of Mathematical Analysis and Applications, 528(2023)127532.

SCI

40. Fang K., Liu W., Qiao H. and Zhu F.: Asymptotic behaviors of small perturbation for multivalued McKean-Vlasov stochastic differential equations, Applied Mathematics and Optimization, 88(2023)22. SCI

39. Qiao H.: Convergence of nonlinear filtering for multiscale systems with correlated Lévy noises, Stochastics and Dynamics, 23(2023)2350016(30 pages). SCI

38. Qiao H. and Gong J.: Backward multivalued McKean-Vlasov SDEs and associated variational inequalities, Discrete and Continuous Dynamical Systems-S, 16(2023)819-845. SCI

37. Liu S., Gao H., Qiao H. and Lu N.: The Onsager-Machlup action functional for McKean-Vlasov stochastic differential equations, Communications in Nonlinear Science and Numerical Simulation, 121(2023)107203.

36. Qiao H.: Effective filtering for multiscale stochastic dynamical systems driven by Lévy processes, Journal of Dynamics and Differential Equations, 34(2022) 2491-2509.SCI

35. Qiao H. and Wu J.-L.: Path independence of the additive functionals for stochastic differential equations driven by G-Lévy processes, Probability, Uncertainty and Quantitative Risk, 7(2022)1-18.SCI

34. Qiao H.: Convergence of nonlinear filtering for stochastic dynamical systems with Lévy noises, Stochastic Analysis and Applications, 40(2022)352-378.SCI

33. Liu M. and Qiao H.: Parameter estimation of path-dependent McKean-Vlasov stochastic differential equations, Acta Mathematica Scientia, 42B(2022)876-886.SCI

32. Qiao H.: Limit theorems of SDEs driven by Lévy processes and application to nonlinear filtering problems, Nonlinear Differential Equations and Applications, 29(2022)Article number: 8. SCI

31. Qiao H.: Superposition principles for the Zakai equations and the Fokker-Planck equations on measure spaces, Bulletin des sciences mathématiques, 174(2022)103084. SCI

30. Qiao H.: Nonlinear filtering of stochastic differential equations driven by

correlated Lévy noises, Stochastics-An International Journal of Probability and Stochastic Processes, 93(2021)1156-1185. SCI

29. Ding X. and Qiao H.: Euler-Maruyama approximations for stochastic McKean-Vlasov equations with non-Lipschitz coefficients, Journal of Theoretical Probability, 34(2021)1408-1425. SCI

28. Qiao H. and Wu J.-L.: Supports for degenerate stochastic differential equations with jumps and applications, Statistics and Probability Letters,177(2021)109176(9 pages). SCI

27. Qiao H. and Wu J.-L.: Path independence of the additive functionals for McKean-Vlasov stochastic differential equations with jumps, Infin. Dimens. Anal. Quantum Probab. Relat. Top., 24(2021)2150006(20 pages). SCI

26. Zhang Y., Qiao H. and Duan J.: Effective filtering analysis for non-Gaussian dynamic systems, Applied Mathematics and Optimization,83(2021)437-459. EI,SCI

25. Ding X. and Qiao H.: Stability for stochastic McKean-Vlasov equations with non-Lipschitz coefficients, SIAM Journal on Control and Optimization, 59(2021)887-905. EI,SCI

24. Qiao H.: Effective filtering for multiscale stochastic dynamical systems in Hilbert spaces, Journal of Mathematical Analysis and Applications, 487(2020)123979(22 pages).SCI

23. Qiao H. and Wu J.-L.: On the path-independence of the Girsanov transformation for stochastic evolution equations with jumps in Hilbert spaces, Discrete and Continuous Dynamical Systems-B, 24(2019)1449-1467. SCI

22. Qiao H., Zhang Y. and Duan J.: Effective filtering on a random slow manifold, Nonlinearity, 31(2018)4649-4666. SCI

21. Qiao H.: Uniqueness for measure-valued equations of nonlinear filtering for stochastic dynamical systems with Lévy noises, Advances in Applied Probability, 50(2018)396-413. EI, SCI

20. Qiao H.: Stationary solutions for stochastic differential equations driven by Lévy processes, Journal of Dynamics and Differential Equations, 29(2017)1195-1213.SCI

19. Qiao H. and Wu J.-L.: Characterising the path-independence of the Girsanov transformation for non-Lipschitz SDEs with jumps, Statistics and Probability Letters, 119(2016)326-333. SCI

18. Qiao H. and Duan J.: Stationary measure for stochastic differential equations with jumps, Stochastics-An International Journal of Probability and Stochastic Processes, 88(2016)864-883. SCI

17. Qiao H. and Duan J.: Lyapunov exponents of stochastic differential equations driven by Lévyprocesses, Dynamical Systems-An International Journal, 31(2016)136-150. EI,SCI

16. Qiao H. and Duan J.: Nonlinear filtering of stochastic dynamical system with Lévy noises, Advances in Applied Probability, 47(2015)902-918. EI, SCI

15. Qiao H.: The cocycle property of stochastic differential equations driven by G- Brownian motion, Chinese Annals of Mathematics-B, 36(2015)147-160. SCI

14. Qiao H. and Duan J.: Asymptotic methods for stochastic dynamical systems with small non-Gaussian Lévy noise, Stochastics and Dynamics, 15(2015)1550004 (16 pages). SCI

13. Qiao H.: Euler-Maruyama approximation for SDEs with jumps and non-Lipschitz coefficients,Osaka Journal of Mathematics, 51(2014)47-66. SCI

12. Qiao H.: Exponential ergodicity for SDEs with jumps and non-Lipschitz coefficients, Journal of Theoretical Probability, 27(2014)137-152. SCI

11. Qiao H. and Duan J.: Topological equivalence for discontinuous random dynamical systems and applications, Stochastics and Dynamics, 14(2014)1350007 (28pages). SCI

10. Qiao H., Kan X. and Duan J.: Escape probability for stochastic dynamical systems with jumps, In: Frederi G. Viens, Jin Feng, Yaozhong Hu, Eulalia Nualart (eds.) Malliavin Calculus and Stochastic Analysis, pp. 195-216. Springer, New York (2013).EI

9. Qiao H. and Duan J.: A Multiplicative ergodic theorem for discontinuous random dynamical systems and applications, https://arxiv.org/abs/1204.5050.

8. Wang H., Ji Z., Qiao H. and Sun Y.: The precision for fluid flow model of window-size behavior of the transmission control protocol, ICIC Express Letters, 6(2012)2147-2152. EI

7. Qiao H.: Homeomorphism flows for non-Lipschitz SDEs driven by Lévy processes, Acta Mathematica Scientia, 32B(2012)1115-1125. SCI

6. Qiao H.: A dual theorem to the Yamada-Watanabe theorem for stochastic evolution equations, Stochastics and Dynamics, 10(2010)367-374. SCI

5. Qiao H.: Infinite horizon BSDEs with dissipative coefficients in Hilbert spaces and applications, Journal of Mathematical Analysis and Applications, 355(2009)725-738. SCI

4. Qiao H.: A nonlinear stochastic evolution equation in Hilbert space, Acta Mathematica Scientia, 29A(2009)383-391.

3. Qiao H. and Zhang X.: Homeomorphism flows for non-Lipschitz stochastic differential equations with jumps, Stochastic Processes and their Applications, 118(2008)2254-2268. EI,SCI

2. Qiao H. and Zhang X.: Homeomorphism of solutions to backward SDEs and applications, Stochastic Processes and their Applications, 117(2007)399-408. EI,SCI

1. Qiao H.: Strong solutions of stochastic differential equations, Mathematica Applicata (China),19(2006)863-868.