1 option
The legacy of Norbert Wiener : a centennial symposium in honor of the 100th anniversary of Norbert Wiener's birth, October 8-14, 1994, Massachusetts Institute of Technology, Cambridge, Massachusetts / David Jerison, I.M. Singer, Daniel W. Stroock, editors.
- Format:
- Book
- Series:
- Proceedings of symposia in pure mathematics ; v. 60.
- Proceedings of symposia in pure mathematics, 0082-0717 ; volume 60
- Language:
- English
- Subjects (All):
- Wiener, Norbert, 1894-1964--Congresses.
- Wiener, Norbert.
- Mathematics--Congresses.
- Mathematics.
- Physical Description:
- 1 online resource (429 p.)
- Place of Publication:
- Providence, Rhode Island : American Mathematical Society, [1997]
- Language Note:
- English
- Summary:
- 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.
- Contents:
- ""Contents""; ""Preface""; ""Program""; ""Acknowledgments""; ""Biographical and Historical Remarks""; ""Norbert Wiener""; ""The rise and fall of cybernetics in the US and the USSR""; ""Reminiscences of Norbert Wiener""; ""Speech by Fagi Levinson""; ""Some memories of Norbert Wiener""; ""Pictures""; ""Scientific Articles""; ""Gibbs measures, quasi-periodic solutions and nonlnear partial differential equations""; ""Wiener's Tauberian theorem""; ""The role of Paley-Wiener theory in partial differential equations""; ""Paley-Wiener on manifolds""
- ""Norbert Wiener and the development of mathematical engineering""""Oscillating networks of Neurons: Mathematics and function""; ""Mapping heredity: Using probabilistic models and algorithms to map genes and genomes""; ""A non-random walk down Wall Street""; ""Filtered Wiener space versus abstract Wiener space""; ""Unsolved problems connected with the Wiener criterion""; ""On the role of the Wiener process in finance theory and practice: The case of replicating portfolios""; ""Inference, learning, and recognition""; ""Issues in the mathematical modeling of cortical functioning and thought""
- ""Polymer braids and iterated Moire maps""""Networks that learn and how the brain works""; ""The risk management revolution""; ""Complex noncommutative infinite dimensional analysis and Fermion-Boson interactions""; ""Complex integral transforms, diffraction, resonances and phase space tunneling""; ""Scaling, the free field and statistical mechanics""; ""Wiener-Hopf integral equations""
- Notes:
- Description based upon print version of record.
- Includes bibliographical references.
- Description based on print version record.
- ISBN:
- 0-8218-9363-7
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