CONTENTS

INTRODUCTION vii

Stochastic Green's functions 1

By G. ADOMIAN

On the theory of random equations . . . . . . . . 40

By A. T. BHARUCHA-REID

Reynolds operators . . . . . . . . . . 70

By G. C. ROTA

On propagation in random media of discrete scatterers . . . . 8 4

By VICTOR TWERSKY

Wave propagation in a general random continuous medium . . .11 7

By W. C. HOFFMAN

Stochastic equations and wave propagation in random media . . .14 5

By J. B. KELLER

Stochastic transformations and functional equations . . . .171

By RICHARD BELLMAN

The application of stochastic approximation to the optimization of random

circuits 178

By K. B. GRAY

Random walks on lattices . . . . . . . . .19 3

By E. W. MONTROLL

On statistical spectral analysis 221

By EMANUEL PARZEN

Stability in single detection problems . . . . . . . 247

By W. L. ROOT

The construction of a class of stationary Markoff processes . . . 264

By EUGENE WONG

Probability bounds via dynamic programming . . . . . . 277

By DAVID BLACKWELL