The Legacy of Norbert Wiener: A Centennial Symposium: A Centennial Symposium in Honor of the 100th Anniversary of Norbert Wiener's Birth, October 8-14, 1994, Massachusetts Institute of Technology, Cambridge, Massachusetts

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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, Wiener-Hopf theory, and Paley-Wiener theory, the book discusses the following topics: BLFourier integral operators with complex phase (a contemporary successor to the Paley-Wiener theory) BLstatistical aspects of quantum mechanics and of liquid crystals BLfinancial markets, including the new trading strategies for options based on Wiener processes BLstatistical methods of genetic research BLmodels 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.
 

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Contents

Norbert Wiener
3
The rise and fall of cybernetics in the US and the USSR
21
Reminiscences of Norbert Wiener
31
Speech by Fagi Levinson
33
Some memories of Norbert Wiener
37
Pictures
43
Scientific Articles
51
Gibbs measures quasiperiodic solutions and nonlnear partial differential equations
53
A nonrandom walk down Wall Street
149
Filtered Wiener space versus abstract Wiener space
185
Unsolved problems connected with the Wiener criterion
199
The case of replicating portfolios
209
Inference learning and recognition
223
Issues in the mathematical modeling of cortical functioning and thought
235
Polymer braids and iterated Moire maps
261
Networks that learn and how the brain works
273

Wieners Tauberian theorem
65
The role of PaleyWiener theory in partial differential equations
71
PaleyWiener on manifolds
85
Norbert Wiener and the development of mathematical engineering
93
Mathematics and function
117
Using probabilistic models and algorithms to map genes and genomes
137
The risk management revolution
313
Complex noncommutative infinite dimensional analysis and FermionBoson interactions
329
Complex integral transforms diffraction resonances and phase space tunneling
355
Scaling the free field and statistical mechanics
373
WienerHopf integral equations
391
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