Challenges for the 21st Century, Proceedings of the International Conference on Fundamental Sciences: Mathematics and Theoretical Physics

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Product Details

  • ISBN-13: 9789810246464
  • Publisher: World Scientific Publishing Company, Incorporated
  • Publication date: 5/8/2001
  • Pages: 528
  • Product dimensions: 6.32 (w) x 8.80 (h) x 1.45 (d)

Table of Contents

Message from Director of Newton Institute
Message from Director of Research and Former Dean of Science, National University of Singapore
List of Lectures
A Review of Critical Point Theory 3
Spectrum of Convolution Dilation Operators on Weighted L[superscript p] Spaces 51
Data Tuning 72
Gambling with the Truth: Markov Chain Monte Carlo 83
Automorphic Representations and Cohomology of Arithmetic Groups 102
Applied Mathematics Meets Signal Processing 138
Modular Forms and Diophantine Questions 162
Chromatic Graph Theory 183
Glimpses of Nonlinear Partial Differential Equations in the Twentieth Century: A Priori Estimates and the Bernstein Problem 196
Three-Dimensional Subgroups and Unitary Representations 213
How Monte Carlo Simulations can Clarify Complex Problems in Statistical Physics 253
The Future of Particle Physics 276
Yang-Mills Duality and the Generation Puzzle 299
The Mathematics of M-Theory 317
Quantum Entanglement and Secrecy 339
What Is Quantum Computation? 351
Aspects of Anomalies in Field Theory 384
Dynamical Chaos and Nonequilibrium Statistical Mechanics 398
General Relativity and Quantum Mechanics 430
Integrable Integral Operators 452
Topics on Fractals in Mathematics and Physics 461
Perturbative Quantum Field Theory 479
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