Remarks on New Mathematical Problems Arising in the Context Of Information Technology

  • A. Bensoussan
Part of the European Consortium for Mathematics in Industry book series (ECMI, volume 6)


Interaction between Computer Science and Mathematics has evolved considerably. We discuss here some features which have been emerging, among the main ones.


Cellular Automaton Discrete Event System Standard Wiener Process Haar System Wavelet System 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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  1. [1.]
    J.P. Aubin, Mathematical Methods of Artificial Intelligence, to be published.Google Scholar
  2. [2.]
    D.P. Bertsekas, J.N. Tsitsiklis, Parallel and Distributed Computation: Numerical Methods, Prentice Hall, Englewood Cliffs, N.J. 1989.zbMATHGoogle Scholar
  3. [3.]
    B.M. Boghosian, C.D. LEVERMORE, Complex Systems 1 (1987). Google Scholar
  4. [4.]
    J. Bruck, J. Sanz, A study on neural networks, International Journal of intelligent systems, vol. 3, 59–75, (1988).zbMATHCrossRefGoogle Scholar
  5. [5.]
    Chiang T.S., Hwang C.R, Sheu S.J., Diffusion for global optimization in IR η, SIAM Control, 25, pp. 737–752, 1987. MathSciNetzbMATHCrossRefGoogle Scholar
  6. [6.]
    G. Cohen, P. Moller, J.P. Quadrat, M. Viot, Algebraic tools for the performance evaluation of discrete event system, Proceedings IEEE, special issue of dynamics of discrete event systems, Jan. 1989. Google Scholar
  7. [7.]
    I. Daubechies, Orthonormal Bases of Compactly supported Wavelets, CPAM, 1988. Google Scholar
  8. [8.]
    E. Dean, R. Glowinski, C.H. Li: Supercomputer solutions of P.D.E. problems in computational fluid dynamics and in control, University of Minnesota, Supercomputer Institute. Google Scholar
  9. [9.]
    O. Faugeras, A few steps towards artificial 3D Vision, INRIA, Technical Report series, Fev. 88, N790. Google Scholar
  10. [10.]
    U. Frisch, B. Hasslacher, Y. Pomeau, Lattice Gas Automata for the Navier Stokes Equation, Physical Review Letters, 1986.Google Scholar
  11. [11.]
    P.P. Khargonekar, I.R. Petersen, M. Rotea, Optimal Control with State Feedback IEEE Trans. Automatic Control, 1988. Google Scholar
  12. [12.]
    Y. Meyer, Wavelets and Operators, Book to appear.Google Scholar
  13. [13.]
    K.C. Mo and M. Ghil, Statistics and Dynamics of Persistent Anomalies, Journal of the Atmospheric Sciences, March 1987.Google Scholar
  14. [14.]
    D. Munford, J. Shah, Optimal Approximation by piecewise smooth functions and associated variational problems, Communications on Pure and Applied Mathematics, 1988.Google Scholar
  15. [15.]
    E.S. Oran, J.P. Boris, Numerical Simulation of Reactive Flow - Elsevier 1987. zbMATHGoogle Scholar
  16. [16.]
    E. Wong , Stochastic neural networks, ERL, Berkeley, Feb. 89. Google Scholar
  17. [17.]
    O. Zeitouni, A. Dembo, A maximum a Posteriori Estimator for Trajectories of Diffusion Processes, Stochastics, 1987, Vol. 20. Google Scholar

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© B.G. Teubner Stuttgart and Kluwer Academic Publishers 1991

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  • A. Bensoussan

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