This volume contains nine papers presented as 45-minute or one-hour addresses at the International Congress of Mathematicians in Berkeley in 1986. In the original proceedings volume of ICM-86, published by the AMS in 1988, these papers appeared in the Russian. They have since been translated and collected in the present volume, to insure their broad dissemination. Among the topics represented here are stochastic processes, logic, number theory, functions of a complex variable, functional analysis, Fourier analysis, numerical analysis, and theoretical computer science.
