This volume includes a selection of papers by the participants of the Probability in Banach Spaces Conference held at Sanjberg, Denmark, August 16-21, 1993. The papers include recent advances in classical and modern limit theorems in Banach spaces as well as papers in which the techniques developed in this area are applied to empirical processes, spacing estimates, large deviation probabilities, measure inequalities and the study of stochastic processes. Researchers and advanced graduate students in probability, statistics, and functional analysis should find much of interest in both the theoretical concepts presented and their applications.