Proceedings of The 4th International Congress of Chinese Mathematicians

Proceedings of The 4th International Congress of Chines   由微知著，以朴制繁，众理如一，筹学之德也。然而数非一相，文非一体。或得之于心，或求之于物，或心物并驰。能者虽众，鲜能兼善。精而后博，数论之质也。朴而后坚，代数之骨也。分析如盘，众妙之门。几何纯厚，筹学之源。探天地之丽，究造物之形。计算巧微，百工以动。概率随机，统计是用。大千精妙，尽在斯乎。大道行而自然兮，术同源而分流。登高岗而周览兮，望江水之扬波。惟天地之无穷兮，何真理之有常。道没世而不朽兮，惧乎时之不留。士携手而并进兮，国欣欣以向荣。

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
……