中文 | English |
|
研究方向: 随机分析 教育经历: 2010.10-2013.04 Swansea University 数学系 研究生/博士 2008.09-2010.09 中南大学 数学与统计学院 研究生/博士 2004.09-2007.03 中南大学 数学与统计学院 研究生/硕士 2002.09-2004.07 曲阜师范大学 数学院 本科/学士 工作经历: 2013.09-2020.06 中南大学 数学与统计学院 副教授 2017.11-2019.12 Swansea University 数学系 博士后 2012.10-2013.08 Wayne State University 数学系 Research Fellow 代表性论文与著作: [1] Bao, Jianhai; Wang, Feng-Yu; Yuan, Chenggui, Limit theorems for additive functionals of path-dependent SDEs. Discrete Contin. Dyn. Syst. 40 (2020), no. 9, 5173-5188. [2] Bao, Jianhai; Shao, Jinghai, Asymptotic behavior of SIRS models in state-dependent random environments. Nonlinear Anal. Hybrid Syst. 38 (2020), 100914. [3] Bao, Jianhai; Wang, Feng-Yu; Yuan, Chenggui, Asymptotic log-Harnack inequality and applications for stochastic systems of infinite memory. Stochastic Process. Appl. 129 (2019), no. 11, 4576-4596. [4] Bao, Jianhai; Huang, Xing; Yuan, Chenggui, Convergence rate of Euler-Maruyama scheme for SDEs with Hölder-Dini continuous drifts. J. Theoret. Probab. 32 (2019), no. 2, 848-871. [5] Bao, Jianhai; Song, Qingshuo; Yin, George; Yuan, Chenggui, Ergodicity and strong limit results for two-time-scale functional stochastic differential equations. Stoch. Anal. Appl. 35 (2017), no. 6, 1030-1046. [6] Bao, Jianhai; Yin, George; Yuan, Chenggui, Stationary distributions for retarded stochastic differential equations without dissipativity. Stochastics 89 (2017), no. 2, 530-549. [7] Bao, Jianhai; Yin, George; Yuan, Chenggui, Two-time-scale stochastic partial differential equations driven by α-stable noises: averaging principles. Bernoulli 23 (2017), no. 1, 645-669. [8] Bao, Jianhai; Yuan, Chenggui, Blow-up for stochastic reaction-diffusion equations with jumps. J. Theoret. Probab. 29 (2016), no. 2, 617-631. [9] Bao, Jianhai; Shao, Jinghai; Yuan, Chenggui, Approximation of invariant measures for regime-switching diffusions. Potential Anal. 44 (2016), no. 4, 707-727. [10] Bao, Jianhai; Shao, Jinghai, Permanence and extinction of regime-switching predator-prey models. SIAM J. Math. Anal. 48 (2016), no. 1, 725-739. [11] Bao, Jianhai; Wang, Feng-Yu; Yuan, Chenggui, Hypercontractivity for functional stochastic partial differential equations. Electron. J. Probab. 20 (2015), no. 93, 15 pp. [12] Bao, Jianhai; Wang, Feng-Yu; Yuan, Chenggui, Hypercontractivity for functional stochastic differential equations. Stochastic Process. Appl. 125 (2015), no. 9, 3636-3656. [13] Bao, Jianhai; Yuan, Chenggui, Large deviations for neutral functional SDEs with jumps. Stochastics 87 (2015), no. 1, 48-70. [14] Bao, Jianhai; Yuan, Chenggui, Numerical analysis for neutral SPDEs driven by α-stable processes. Infin. Dimens. Anal. Quantum Probab. Relat. Top. 17 (2014), no. 4, 1450031, 16 pp. [15] Bao, Jianhai; Yuan, Chenggui, Numerical approximation of stationary distributions for stochastic partial differential equations. J. Appl. Probab. 51 (2014), no. 3, 858-873. [16] Bao, Jianhai; Yin, George; Yuan, Chenggui, Ergodicity for functional stochastic differential equations and applications. Nonlinear Anal. 98 (2014), 66-82. [17] Bao, Jianhai; Yuan, Chenggui, Long-term behavior of stochastic interest rate models with jumps and memory. Insurance Math. Econom. 53 (2013), no. 1, 266-272. [18] Bao, Jianhai; Yuan, Chenggui, Convergence rate of EM scheme for SDDEs. Proc. Amer. Math. Soc. 141 (2013), no. 9, 3231-3243. [19] Bao, Jianhai; Wang, Feng-Yu; Yuan, Chenggui, Bismut formulae and applications for functional SPDEs. Bull. Sci. Math. 137 (2013), no. 4, 509-522. [20] Bao, Jianhai; Wang, Feng-Yu; Yuan, Chenggui, Derivative formula and Harnack inequality for degenerate functionals SDEs. Stoch. Dyn. 13 (2013), no. 1, 1250013, 22 pp. [21] Bao, Jianhai; Yuan, Chenggui, Stochastic population dynamics driven by Lévy noise. J. Math. Anal. Appl. 391 (2012), no. 2, 363-375. [22] Bao, Jianhai; Yuan, Chenggui, Stabilization of partial differential equations by Lévy noise. Stoch. Anal. Appl. 30 (2012), no. 2, 354-374. [23] Bao, Jianhai; Mao, Xuerong; Yuan, Chenggui, Lyapunov exponents of hybrid stochastic heat equations. Systems Control Lett. 61 (2012), no. 1, 165-172. [24] Bao, Jianhai; Mao, Xuerong; Yin, Geroge; Yuan, Chenggui, Competitive Lotka-Volterra population dynamics with jumps. Nonlinear Anal. 74 (2011), no. 17, 6601-6616. [25] Bao, Jianhai; Truman, Aubrey; Yuan, Chenggui, Almost sure asymptotic stability of stochastic partial differential equations with jumps. SIAM J. Control Optim. 49 (2011), no. 2, 771-787. [26] Bao, Jianhai; Hou, Zhenting; Yuan, Chenggui, Stability in distribution of mild solutions to stochastic partial differential equations. Proc. Amer. Math. Soc. 138 (2010), no. 6, 2169-2180. [27] Bao, Jianhai; Truman, Aubrey; Yuan, Chenggui, Stability in distribution of mild solutions to stochastic partial differential delay equations with jumps. Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci. 465 (2009), no. 2107, 2111-2134.
|