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名人/編輯推薦
季理真等編著的《第4屆華人數學家大會文集(英文版)(精)》是第4屆華人數學家大會論文的英文結集，本次數學家大會的議題圍繞著“數學”與“教育”展開。本書所集論文顯示了華人數學研究的最新成果，匯聚了眾家之言，可供數學研究者和從事數學教育的讀者參考閱讀。
目次
Address of the Congress PresidentPast Congresses of ICCM
Past Morningside Medalists, Chern Prize Winners and ICCM International Cooperation Award Winner
Medal and Awards of ICCM and the Background
The Committees of the Congress
List of Sponsors, Donors and Contributors
Morningside Medal of Mathematics Selection Committee
Morningside Medalists, Chern Prize Winners and ICCM International Cooperation Award Winner
Part I The Work of the Morningside Medalists
The Work of Xu-Jia Wang Fanghua Lin
The Work of Jianqing Fan Zhiliang Yin9
The Work of Chiu-Chu Liu Kefeng Liu
The Work of Lizhen Ji Gopal Prasad
The Work of Shi Jin Stanley Osher
The Work of Chiun-Chuan Chen Chang-Shou Lin
The Work of Ye Tian John Coates
Theory and Implementation of Efficient Importance Sampling for Monte Carlo Computation of Probabilities of Rare Events
H. P. Chan and T. L. Lai
1 Introduction
2 Large deviations and importance sampling
3 Mixtures of exponentially twisted measures and asymptotically
optimal importance sampling measures
4 Sequential Importance Sampling with Resampling （SISR）
References.
Fast Algorithms for Total Variation-Based Image Processing
T. F. Chan and M. Zhu
1 Introduction
2 Primal and dual formulation
3 Numerical methods
4 Remarks and conclusions
5 Acknowledgements
References.
Sharp Isoperimetric Inequality for Minimal Surfaces in R Jaigyoung Choe and Richard Schoen
1 Introduction
2 Minimal surfaces
References
Positive Quaternionic K~ihler Manifolds with Symmetry Fuquan Fang
1 Introduction
2 A connectedness theorem
3 Hyperk~hler quotient and quaternionic Kahler quotient
4 Symmetry rank
References
Linear Waves in the Kerr Geometry: Long-Time Dynamics,Superradiance, and the Stability of Black Holes
Felix Finster.
1 General relativity and black holes
2 Linear wave equations in the Kerr geometry and their separation..
3 Dynamics of Dirac waves
4 An integral representation and decay for scalar waves
5 A rigorous treatment of superradiance for scalar waves
6 The stability problem for Kerr black holes
……
Past Morningside Medalists, Chern Prize Winners and ICCM International Cooperation Award Winner
Medal and Awards of ICCM and the Background
The Committees of the Congress
List of Sponsors, Donors and Contributors
Morningside Medal of Mathematics Selection Committee
Morningside Medalists, Chern Prize Winners and ICCM International Cooperation Award Winner
Part I The Work of the Morningside Medalists
The Work of Xu-Jia Wang Fanghua Lin
The Work of Jianqing Fan Zhiliang Yin9
The Work of Chiu-Chu Liu Kefeng Liu
The Work of Lizhen Ji Gopal Prasad
The Work of Shi Jin Stanley Osher
The Work of Chiun-Chuan Chen Chang-Shou Lin
The Work of Ye Tian John Coates
Theory and Implementation of Efficient Importance Sampling for Monte Carlo Computation of Probabilities of Rare Events
H. P. Chan and T. L. Lai
1 Introduction
2 Large deviations and importance sampling
3 Mixtures of exponentially twisted measures and asymptotically
optimal importance sampling measures
4 Sequential Importance Sampling with Resampling （SISR）
References.
Fast Algorithms for Total Variation-Based Image Processing
T. F. Chan and M. Zhu
1 Introduction
2 Primal and dual formulation
3 Numerical methods
4 Remarks and conclusions
5 Acknowledgements
References.
Sharp Isoperimetric Inequality for Minimal Surfaces in R Jaigyoung Choe and Richard Schoen
1 Introduction
2 Minimal surfaces
References
Positive Quaternionic K~ihler Manifolds with Symmetry Fuquan Fang
1 Introduction
2 A connectedness theorem
3 Hyperk~hler quotient and quaternionic Kahler quotient
4 Symmetry rank
References
Linear Waves in the Kerr Geometry: Long-Time Dynamics,Superradiance, and the Stability of Black Holes
Felix Finster.
1 General relativity and black holes
2 Linear wave equations in the Kerr geometry and their separation..
3 Dynamics of Dirac waves
4 An integral representation and decay for scalar waves
5 A rigorous treatment of superradiance for scalar waves
6 The stability problem for Kerr black holes
……
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