Proceedings of Symposia in Pure Mathematics 1997; 405 pp; hardcover Volume: 60 ISBN10: 0821804154 ISBN13: 9780821804155 List Price: US$102 Member Price: US$81.60 Order Code: PSPUM/60
 This book contains lectures presented at the MIT symposium on the 100th anniversary of Norbert Wiener's birth held in October 1994. The topics reflect Wiener's main interests while emphasizing current developments. In addition to lectures dealing directly with problems on which Wiener worked, such as potential theory, harmonic analysis, WienerHopf theory, and PaleyWiener theory, the book discusses the following topics:  Fourier integral operators with complex phase (a contemporary successor to the PaleyWiener theory)
 statistical aspects of quantum mechanics and of liquid crystals
 financial markets, including the new trading strategies for options based on Wiener processes
 statistical methods of genetic research
 models of the nervous system, pattern recognition, and the nature of intelligence
The volume includes reviews on Norbert Wiener's contributions from historical and current perspectives. This book gives mathematical researchers an overview of new mathematical problems presented by other areas and gives researchers in other fields a broad overview of the ways in which advanced mathematics might be useful to them. Readership Graduate students, mathematicians, statisticians, science historians, researchers and professionals in fields that use mathematics, such as molecular and neurobiology, brain and cognitive science, electrical engineering, computer science, economics, technical financial analysis, and physics. Table of Contents Biographical and Historical Remarks  D. Jerison and D. W. Stroock  Norbert Weiner
 P. Elias  The rise and fall of cybernetics in the US and the USSR
 D. Struik  Reminiscences of Norbert Wiener
 Speech by Fagi Levinson
 P. A. Samuelson  Some memories of Norbert Wiener
Scientific Articles  J. Bourgain  Gibbs measures, quasiperiodic solutions and nonlinear partial differential equations
 L. Carleson  Wiener's Tauberian theorem
 L. Ehrenpreis  The role of PaleyWiener theory in partial differential equations
 V. Guillemin  PaleyWiener on manifolds
 T. Kailath  Norbert Wiener and the development of mathematical engineering
 N. Kopell  Oscillating networks of neurons: Mathematics and function
 E. S. Lander  Mapping heredity: Using probabilistic models and algorithms to map genes and genomes
 A. W. Lo  A nonrandom walk down Wall Street
 P. Malliavin  Filtered Wiener space versus abstract Wiener space
 V. Maz'ya  Unsolved problems connected with the Wiener criterion
 R. C. Merton  On the role of the Wiener process in finance theory and practice: The case of replicating portfolios
 S. K. Mitter  Inference, learning, and recognition
 D. Mumford  Issues in the mathematical modeling of cortical functioning and thought
 D. R. Nelson and R. D. Kamien  Polymer braids and iterated Moiré maps
 T. Poggio  Networks that learn and how the brain works
 C. S. Sanford, Jr. and D. Borge  The risk management revolution
 I. Segal  Complex noncommutative infinite dimensional analysis and FermionBoson interactions
 J. Sjöstrand  Complex integral transforms, diffraction, resonances and phase space tunneling
 T. Spencer  Scaling, the free field and statistical mechanics
 H. Widom  WeinerHopf integral equations
