**AMS/IP Studies in Advanced Mathematics**

Volume: 42;
2008;
442 pp;
Softcover

MSC: Primary 05; 08; 11; 14; 22; 35; 37; 80;

**Print ISBN: 978-0-8218-4452-6
Product Code: AMSIP/42.2**

List Price: $115.00

AMS Member Price: $92.00

MAA Member Price: $103.50

**Electronic ISBN: 978-1-4704-3832-6
Product Code: AMSIP/42.2.E**

List Price: $108.00

AMS Member Price: $86.40

MAA Member Price: $97.20

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# Third International Congress of Chinese Mathematicians

Share this page *Edited by *
*Ka-Sing Lau; Zhou-Ping Xin; Shing-Tung Yau*

A co-publication of the AMS and International Press of Boston

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.

Titles in this series are co-published with International Press of Boston, Inc., Cambridge, MA.

#### Readership

Research mathematicians interested in all areas of advanced mathematics.

# Table of Contents

## Third International Congress of Chinese Mathematicians

- Cover Cover11
- Title page iii4
- Contents v6
- Preface xi12
- Welcome letters xiii14
- A Chinese essay in tribute to Professor Shiing-Shen Chern xvii18
- Committees of ICCM 2004 xix20
- Morningside lifetime achievement award in mathematics xxiii24
- Morningside medal of mathematics xxv26
- Morningside medal of mathematics–Selection committee xxvii28
- Morningside award medalists xxix30
- Chern prize recipients li52
- ICCM international cooperation award recipient liii54
- Photographs lv56
- List of speakers lxvii68
- Dirichlet forms and Markov semigroups on non-associative vector bundles 43372
- Decomposition principle and random cascades 44786
- Holomorphic motions and normal forms in complex analysis 45796
- On pseudo-Hermitian CR manifolds 467106
- Recent progress on the Dirichlet problem in Lipschitz domains 483122
- Refinable functions with non-integer Dilations 493132
- On Whitney’s critical sets 513152
- Applications of Nevanlinna theory to geometric problems 523162
- Some results on Smale’s mean value conjecture 595234
- Localized non-blowup conditions for the 3D incompressible Euler equations 603242
- Separation of bound state solutions of systems of nonlinear Schrödinger equations 613252
- The 𝐶^{𝛼} regularity of a class of ultraparabolic equations 619258
- Stability of basic wave patterns for gas motions 623262
- On strong near-epoch dependence 647286
- Multifractal analysis of branching measure on a Galton-Watson tree 655294
- Convex duality theory for optimal investment 663302
- Backward stochastic Volterra integral equations 679318
- Set addition and set multiplication 707346
- Collineation groups of translation planes 721360
- Intelligent and informative scientific computing, trends and examples 731370
- Scattered data interpolation by box splines 749388
- Piecewise function generated by the solutions of linear ordinary differential equation 769408
- Step-sizes for the gradient method 785424
- Number-theoretic methods in experimental designs 797436
- Ear modeling and sound signal processing 819458
- The mathematical problem of inertial waves in rapidly rotating planets and stars 831470
- Mathematics, mathematics education and the mouse 861500
- Back Cover Back Cover1514