This volume contains the contributions of the participants to the Oslo- Silivri Workshop on Stochastic Analysis held in Silivri from July 18 to July 29 at the Nazlm Terzioglu Graduate Research Center of Istanbul University. 1994 There were three lectures: - Mathematical Theory 0/ Communication Networks by V. Anantharam - State-Space Models 0/ the Term Structure o/Interest Rates by D. Duffie - Theory 0/ Capacity on the Wiener Space by F. Hirsch. The main lectures are presented at the beginning of the volume. The contributing papers cover different domains varying from random fields to dis- tributions on infinite dimensional spaces. We would like to thank the following organizations for their financial sup- port: - VISTA a research cooperation between the Norwegian Academy of Scineces and Letters and Den Norske Stats Oljeselskap A. S. (Statsoil). - Ecole Nationale Superieure des Telecommunications de Paris. In the summer of 1994 we lost our dear friend and colleague ALBERT BADRIKIAN. We are dedicating this volume to his memory. H. Körezlioglu B. 0ksendal A. S. Üstünel MATHEMATICAL THEORY OF COMMUNICATION NETWORKS VENKAT ANANTHARAM * EECS DEPARTMENT UNIVERSITY OF CALIFORNIA BERKELEY CA 94720 [email protected] Abstract We describe so me recent advances in the mathematical theory of com- munication networks.