基本情况

孙华飞，北京理工大学数学与统计学院教授、博士生导师。复杂信息数学表征与应用北京市重点实验室主任，北京市优秀教师，北京市教学名师。

 

研究领域

信息几何、几何控制、几何力学

 

教育背景

1994年11月至1999年3月 博士，日本关西大学东京都立大学

1983年9月至1990年1月 硕士，东北大学(原东北工学院)

1983年9月至1990年1月 学士，东北大学(原东北工学院)

 

工作经历

2011年6月至今      教授、 博士生导师，北京理工大学数学学院

2004年11月至2010年6月 博士生导师，北京理工大学理学院

2002年7月至2010年6月  教授，北京理工大学理学院

1999年4月至2001年3月  外国人特别研究员，熊本大学、九州大学，日本学术振兴会

1990年1月至1994年10月 助教、讲师，东北大学

 

论文发表


  1. Image Watermarking using Polar Harmonic Transform with Parameters in SL(2, R), Signal Processing: Image Communication, 31(2015), 161-173 (with MinQi, Bingzhao Li)
  2. Image watermarking via fractional polar harmonic transform, Journal of Electronic Imaging, 24 (2015),013004-013004 (with Min Qi, Bingzhao Li)
  3. Natural Gradient Algorithm fortheSolution of Lyapunov Equation Based onthe Geodesic Distance, Journal of Computational Mathematics, 32(2014), 93-106 (with XiaominDuan and Zhenning Zhang)
  4. Natural Gradient Algorithm for Stochastic Distribution Systems, Entropy, 16(2014), 4338-4352 (with Zhenning Zhang et al)
  5. Riemannian Holonomy Groups of Statistical Manifolds, arXiv:1401.5706, 2014(with Didong Li, Chen Tao and Lin Jiu)
  6. Principal bundles over statistical manifolds, arXiv:1403.4471, 2014(with Didong Li, Chen Tao and Lin Jiu)
  7. The $\alpha$-Geometric Structures on Manifold of Positive Definite Hermite Matrices, Acta Mathematica Sinica, English Series, 30(2014), 2137-2145 (with XiaominDuan and Linyu Peng)
  8. Extended Hamiltonian algorithm for the solution of discrete algebraic Lyapunov equations. Applied Mathematics and Computation. 234 (2014), 245-252 (with Zikun Luo)
  9. A natural gradient algorithm for the solution of discrete algebraic Lyapunov equations based on the geodesic distance, Applied Mathematics and Computation, 219(2013), 9899-9905 (with XiaominDuan, Linyu Peng and Xinyu Zhao)
  10. The arc length variational formula on exponential manifold, Mathematica Slovaca, 63(2013), 1101-1112 (with FengweiZhang , Lin Jiu and Linyu Peng)
  11. Characterization of the complexity of an ED model via information geometry, The European Physical Journal – Plus, 128 (2013), 2013-13070-8(with Chunhui Li and Shicheng Zhang)
  12. Natural Gradient Algorithm for Stochastic Distribution Systems with Output Feedback, Differential Geometry and its Applications, 31 (2013) 682–690 (with Zhenning Zhang and Linyu Peng)
  13. Information geometriccharacterization of the complexity of fractional Brownian motions, Journal of Mathematical Physics, 53 (2012), 123305 (with Linyu Peng and G.Xu)
  14. The Geometric Structures and Instability of Entropic Dynamical Models, Advances in Mathematics, 227 (2011), 459–471 (with Linyu Peng, Dendi Sun and Jin Yi)
  15. Natural Gradient-Projection Algorithm for Distribution Control, Optimal Control, Applications and Methods, 30(2009), 495-504 (with Zhenning Zhang and FengweiZhong)
  16. Geometric structures of Stable Output Feedback Systems, Kybernetika, 45(2009), 387-404 (with Zhenning Zhang and FengweiZhong)
  17. An Information Geometry Algorithm for Distribution Control, Bulletin of the Brazilian Mathematical Society, 39(2008), 1-10 (with FengweiZhong and Zhenning Zhang)
  18. The geometry of the Dirichlet manifold, Journal of the Korean Mathematical Society, 45(2008), 859-870(with FengweiZhong and Zhenning Zhang)
  19. Information geometry of the thermodynamic  manifold, NuovoCimento B, 123(2008), 593-598(Limei Cao and Liping Wu)
  20. On affine translation hypersurfaces of constant mean curvature, Publicationes Math. Debrecen, 64(2004), 381-390 (with Chun Chen)
  21. Minimal submanifolds in a locally symmetric and conformally flat space, GeometriaeDedicata, 90(2002), 63-75
  22. On totally umbilical submanifolds of S^(n+1)(1), Israel Journal of Mathematics, 117(2000), 93-104
  23. Submanifolds of a quasi constant curvature manifolds, Publications Math. Debrecen 56(2000), 131-137
  24. Totally real pseudo-umbilical submanifolds of a quaternion space form, Glasgow Mathematical Journal, 40(1998), 109-115


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