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