Proceedings of the Norbert Wiener Centenary Congress, 1994
About this Title
V. S Mandrekar, Michigan State University, E. Lansing and P. R. Masani, University of Pittsburgh, Editors
Publication: Proceedings of Symposia in Applied Mathematics
Publication Year: 1997; Volume 52
ISBNs: 978-0-8218-0452-0 (print); 978-0-8218-9267-1 (online)
One of the great mathematicians of this century, Norbert Wiener was a universal thinker of colossal proportions. This book contains the proceedings of the Norbert Wiener Centenary Congress held at Michigan State University on November 27–December 3, 1994. The aim of the Congress was to reveal the depth and strong coherence of thought that runs through Wiener's legacy, and to exhibit its continuation in ongoing research.
This volume brings together the great minds who have furthered Wiener's ideas in physics, stochastics, harmonic analysis, philosophy, prosthesis and cybernetics. The presentations coherently lay out the developments of the subjects from their inception. This volume provides an excellent pathway for new investigators who may wish to pursue these developments by following the footsteps of world experts.
There is no other book available in which experts in the various fields in which Weiner worked have presented his thoughts and contributions in such a coherent and lucid manner.
Graduate students, research mathematicians, physicists, engineers, statisticians, probabilitists, computer scientists, historians, and philosophers of science interested in one or more of the ideas of Norbert Wiener and/or the individual areas covered in the volume.
Table of Contents
Wiener’s concept of the stochastic universe
- S. Molchanov – Wiener-Kolmogorov conception of the stochastic organization of nature [MR 1440904]
- Oliver Penrose – The Wiener programme in statistical physics: Is it feasible in the light of recent developments? [MR 1440905]
- Leonard Gross – The mathematical ramifications of Wiener’s program in statistical physics [MR 1440906]
Potential and capacity before and after Wiener
Generalized harmonic analysis and its ramifications
- John J. Benedetto – Generalized harmonic analysis and Gabor and wavelet systems [MR 1440908]
- H. Bart, I. Gohberg and M. A. Kaashoek – Wiener-Hopf equations and linear systems [MR 1440909]
- Paul Malliavin – Complex harmonic analysis in the aftermath of Paley-Wiener [MR 1440910]
- Hans G. Feichtinger – Amalgam spaces and generalized harmonic analysis [MR 1440911]
Quantum mechanical ramifications of Wiener’s ideas
- Irving Segal – Wiener space and nonlinear quantum field theory [MR 1440912]
- Sergio Albeverio – Wiener and Feynman—path integrals and their applications [MR 1440913]
- John R. Klauder – Optical coherence before and after Wiener [MR 1440914]
- Eric A. Carlen – Wiener and the problem of “hidden parameters” in quantum mechanics [MR 1440915]
- Erik G. F. Thomas – Finite path integrals [MR 1440916]
- Robert L. Warnock – Joint probabilities of noncommuting observables and the Einstein-Podolsky-Rosen question in Wiener-Siegel quantum theory [MR 1440917]
Leibniz, Haldane and Wiener on mind
- George Gale – The role of Leibniz and Haldane in Wiener’s cybernetics [MR 1440918]
- Henry P. Stapp – Quantum mechanical coherence, resonance, and mind [MR 1440919]
- Karl H. Pribram – What is mind that the brain may order it?
Shannon-Wiener information and stochastic complexity
- J. Rissanen – Shannon-Wiener information and stochastic complexity [MR 1440920]
Nonlinear stochastic analysis
- Donald L. Burkholder – Sharp norm comparison of martingale maximal functions and stochastic integrals [MR 1440921]
- Shinzo Watanabe – Stochastic analysis on Wiener space [MR 1440922]
- G. Kallianpur – Stochastic filtering: A part of stochastic nonlinear analysis [MR 1440923]
- N. K. Bose – The theory of learning before and after Wiener [MR 1440924]
Prosthesis, ontogenetic and phylogenetic
- Robert W. Mann – Sensory and motor prostheses in the aftermath of Wiener
- Dennis Roseman – Wiener’s thought on the computer as an aid in visualizing higher-dimensional forms and its modern ramifications [MR 1440925]
Wiener and the political economy: Automatization, educational decline and unemployment (round table)
- P. R. Masani – Norbert Wiener and the future of cybernetics [MR 1440926]
- John von Neumann – Letter to Norbert Wiener from John von Neumann
Award of Norbert Wiener centenary medal
A tribute to Wiener from Dennis Gabor, F.R.S., N.L.