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  • Book
  • © 1987

Overview

Editors:
  1. George Papanicolaou

    1. Institute for Mathematics and Its Applications, Minneapolis, USA

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Part of the book series: The IMA Volumes in Mathematics and its Applications (IMA, volume 7)

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Table of contents (21 chapters)

  1. Front Matter

    Pages i-xi
    Download chapter PDF

  2. Stable Convergence and Asymptotic Capacity Measures

    • J. R. Baxter, N. C. Jain
    Pages 1-13

  3. Effective Equation and Renormalization for a Nonlinear Wave Problem with a Random Source

    • Luis L. Bonilla
    Pages 15-27

  4. The Spectrum of Backscatter for Pulse Reflection from a Randomly Stratified Medium

    • R. Burridge, G. Papanicolaou, B. White
    Pages 29-43

  5. Exercises for a Book on Random Potentials

    • René Carmona
    Pages 45-65

  6. Travel-Time Problems for Waves in Random Media

    • P. L. Chow
    Pages 67-88

  7. Elements of the Theory of Amorphous Semiconductors

    • Morrel H. Cohen
    Pages 89-108

  8. Multidimensional RWRE with Subclassical Limiting Behavior

    • Richard Durrett
    Pages 109-119

  9. Localization for a Random Discrete Wave Equation

    • William G. Faris
    Pages 121-128

  10. Simulations and Global Optimization

    • Basilis Gidas
    Pages 129-145

  11. Low Temperature Behavior in Random Ising Models

    • John Z. Imbrie
    Pages 147-162

  12. Some Recent Results on Wave Equations, Path Integrals, and Semiclassical Approximations

    • John R. Klauder
    Pages 163-182

  13. Effective Conductivities of Reciprocal Media

    • Joseph B. Keller
    Pages 183-188

  14. Reflection from a Lossy, One-Dimensional Ocean Sediment Model

    • Werner E. Kohler
    Pages 189-209

  15. Problems of One-Dimensional Random Schrödinger Operators

    • Shinichi Kotani
    Pages 211-214

  16. Numerical Simulation of Itô Stochastic Differential Equations on Supercomputers

    • W. P. Petersen
    Pages 215-228

  17. Lyapunov Exponent and Rotation Number of the Stochastic Harmonic Oscillator

    • Mark A. Pinsky
    Pages 229-243

  18. Regularity of the Density of States for Stochastic Jacobi Matrices: A Review

    • Barry Simon
    Pages 245-266

  19. Limit Theorems for Measure-Valued Diffusion Processes that Arise in Wave Propagation in a Randomly Inhomogenous Ocean

    • Halil Mete Soner
    Pages 267-278

  20. Spectral Properties of Discrete and Continuous Random Schrödinger Operators: A Review

    • Bernard Souillard
    Pages 279-291
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About this book

This IMA Volume in Mathematics and its Applications RANDOM MEDIA represents the proceedings of a workshop which was an integral part of the 1984-85 IMA program on STOCHASTIC DIFFERENTIAL EQUATIONS AND THEIR APPLICATIONS We are grateful to the Scientific Committee: Daniel Stroock (Chairman) \~ende 11 Fl emi ng Theodore Harris Pierre-Louis Lions Steven Orey George Papanicolaou for planning and implementing an exciting and stimulating year-long program. We especi ally thank George Papani col aOIJ for organi zi ng a workshop which produced fruitful interactions between mathematicians and scientists from both academia and industry. George R. Sell Hans I~ei nherger PREFACE During September 1985 a workshop on random media was held at the Institute for Mathematics and its Applications at the University of Minnesota. This was part of the program for the year on Probability and Stochastic Processes at IMA. The main objective of the workshop was to bring together researchers who work in a broad area including applications and mathematical methodology. The papers in this volume give an idea of what went on and they also represent a cross section of problems and methods that are currently of interest.

Editors and Affiliations

  • Institute for Mathematics and Its Applications, Minneapolis, USA

    George Papanicolaou

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