Third International Congress of Chinese Mathematicians ( AMS/IP Studies in Advanced Mathematics )

Publication series ：AMS/IP Studies in Advanced Mathematics

Author： Ka-Sing Lau;Zhou-Ping Xin;Shing-Tung Yau  

Publisher： American Mathematical Society‎

Publication year： 2017

E-ISBN: 9781470438326

P-ISBN(Paperback): 9780821844526

Subject： O157.4 algebraic coding theory (theory)

Keyword： 暂无分类

Language： ENG

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Third International Congress of Chinese Mathematicians

Description

This volume consists of the proceedings of the Third International Congress of Chinese Mathematicians, held at the Chinese University of Hong Kong in December 2004. The Congress brought together eminent Chinese and overseas mathematicians to discuss the latest developments in pure and applied mathematics. This two-part proceedings contains the contents of lectures given by the plenary speakers and the invited speakers—the major portion comprising new results—together with some expository and survey articles. Eleven major topics are treated: algebra, number theory and cryptography; algebraic geometry and algebraic topology; geometric analysis; complex analysis and complex geometry; harmonic analysis and functional analysis; applied mathematics; dynamical systems, fractals and wavelets; numerical analysis; PDE; probability, statistics, and financial mathematics; and education.

Chapter

Cover

Title page

Contents

Preface

Welcome letters

A Chinese essay in tribute to Professor Shiing-Shen Chern

Committees of ICCM 2004

Morningside lifetime achievement award in mathematics

Morningside medal of mathematics

Morningside medal of mathematics–Selection committee

Morningside award medalists

Chern prize recipients

ICCM international cooperation award recipient

Photographs

List of speakers

Dirichlet forms and Markov semigroups on non-associative vector bundles

Decomposition principle and random cascades

Holomorphic motions and normal forms in complex analysis

On pseudo-Hermitian CR manifolds

Recent progress on the Dirichlet problem in Lipschitz domains

Refinable functions with non-integer Dilations

On Whitney’s critical sets

Applications of Nevanlinna theory to geometric problems

Some results on Smale’s mean value conjecture

Localized non-blowup conditions for the 3D incompressible Euler equations

Separation of bound state solutions of systems of nonlinear Schrödinger equations

The 𝐶^{𝛼} regularity of a class of ultraparabolic equations

Stability of basic wave patterns for gas motions

On strong near-epoch dependence

Multifractal analysis of branching measure on a Galton-Watson tree

Convex duality theory for optimal investment

Backward stochastic Volterra integral equations

Set addition and set multiplication

Collineation groups of translation planes

Intelligent and informative scientific computing, trends and examples

Scattered data interpolation by box splines

Piecewise function generated by the solutions of linear ordinary differential equation

Step-sizes for the gradient method

Number-theoretic methods in experimental designs

Ear modeling and sound signal processing

The mathematical problem of inertial waves in rapidly rotating planets and stars

Mathematics, mathematics education and the mouse

Back Cover

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