Third international congress of Chinese mathematicians

著者

書誌事項

Third international congress of Chinese mathematicians

Ka-Sing Lau, Zhou-Ping Xin and Shing-Tung Yau, editors

(AMS/IP studies in advanced mathematics, v. 42)

American Mathematical Society, c2008

  • pt. 1
  • pt. 2

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注記

Includes bibliographical references

Proceedings of ICCM04, December 17-22, 2004, the Chinese University of Hong Kong, Hong Kong, China.

内容説明・目次

巻冊次

pt. 2 ISBN 9780821844526

内容説明

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.

目次

Dirichlet forms and markov semigroups on non-associative vector bundles by C.-H. Chu and Z. Qian Decomposition principle and random cascades by A. H. Fan and J.P. Kahane Holomorphic motions and normal forms in complex analysis by Y. Jiang On pseudo-Hermitian CR manifolds by S.-Y. Li Recent progress on the Dirichlet problem in Lipschitz domains by Z. Shen Refinable functions with non-integer Dilations by X.-R. Dai, D.-J. Feng, and Y. Wang On Whitney's critical sets by Z.-Y. Wen and L.-F. Xi Applications of Nevanlinna theory to geometric problems by P.-M. Wong Some results on Smale's mean value conjecture by Y. Wang Localized non-blowup conditions for the 3D incompressible Euler equations by J. Deng, T. Y. Hou, and X. Yu Separation of bound state solutions of systems of nonlinear Schr"odinger equations by T.-C. Lin and Y.-W. Hsu The $C^\alpha$ regularity of a class of ultraparabolic equations by Z. Liqun Stability of basic wave patterns for gas motions by T. Yang and H.-J. Zhao On strong near-epoch dependence by Z. Lin Multifractal analysis of branching measure on a Galton-Watson tree by P. M"orters and N.-R. Shieh Convex duality theory for optimal investment by J. Xia and J.-A. Yan Backward stochastic Volterra integral equations by J. Yong Set addition and set multiplication by M.-C. Chang Collineation groups of translation planes by C. Y. Ho Intelligent and informative scientific computing, trends and examples by Q. Du Scattered data interpolation by box splines by Z. Shen and S. Waldron Piecewise function generated by the solutions of linear ordinary differential equation by Z. Wu Step-sizes for the gradient method by Y.-X. Yuan Number-theoretic methods in experimental designs by K.-T. Fang and Y. Wang Ear modeling and sound signal processing by J. Xin The mathematical problem of inertial waves in rapidly rotating planets and stars by X. Liao and K. Zhang Mathematics, mathematics education and the mouse by S. M. Keung.
巻冊次

pt. 1 ISBN 9780821844540

内容説明

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.

目次

Shock waves and cosmology by J. A. Smoller and J. B. Temple Variational construction of diffusion orbits in convex Hamiltonian systems with multiple degrees of freedom by C.-Q. Cheng and J. Yan Saddlepoint approximations and boundary crossing probabilities for random fields and their applications by T. L. Lai Recognizing certain rational homogeneous manifolds of Picard number 1 from their varieties of minimal rational tangents by N. Mok Discontinuous Galerkin methods for convection dominated partial differential equations by C.-W. Shu Singularity behavior of the mean curvature flow by X.-J. Wang Localization and duality by J. Zhou Surgical Ricci flow on four-manifolds with positive isotropic curvature by B.-L. Chen and X.-P. Zhu Special subvarieties of $\mathcal{A}_g$ by E. Viehweg and K. Zuo Local monodromy of the Kloosterman sheaf at $\infty$ by L. Fu and D. Wan Hilbert modular functions and their CM values by T. Yang Geometric invariant theory and birational geometry by Y. Hu Remarks on Gieseker's degeneration and its normalization by X. Sun Bundle rigidity of complex surfaces by W.-S. Cheung and B. Wong CR equivalence problem of strongly pseudoconvex CR manifolds by S. S.-T. Yau Vector bundles on non-primary Hopf manifolds with abelian fundamental group by L. Weiming and X.-Y. Zhou Subelliptic PDE's and subRiemannian geometry by D.-C. Chang and P. Greiner The $Q$-curvature flow on a closed 3-manifold of positive $Q$-curvature by S.-C. Chang The space of symplectic structures on closed 4-manifolds by T.-J. Li Ancient solutions to K"ahler-Ricci flow by L. Ni A convergence result of the Lagrangian mean curvature flow by M.-T. Wang On piecewise algebraic variety by R.-H. Wang An introduction to chiral equivariant cohomology by B. H. Lian Large scale geometry, compactifications and the integral Novikov conjectures for arithmetic groups by L. Ji Normal dilations by M.-D. Choi On the generator problem of von Neumann algebras by L. Ge and J. Shen A survey of results on the ground state of semilinear elliptic equations by M. K. Kwong Separating and extending subgroups of a locally compact group by E. Kaniuth and A. T. Lau The triangle of operators, topologies, bornologies by N.-C. Wong The positive mass theorem near null infinity by X. Zhang.

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