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This volume consists of 24 papers submitted for publication§by the invited speakers of the IFIP International Conference§on Stochastic Partial Differential Equations and their Ap-plications. Most of them are research papers, however, a few§surveys written by world renowed experts are also included.§The aim of the conference was to bring together mathematici-§ans, physicists and engineers representing academic as well§as industrial fields, interested in the theory and applica-§tions of SPDE's. The field of SPDE's is one of the most dy-§namically developing areas at the cross roads of several§sciences. It is especially attractive for many because of§its interdisciplinary character and enormous richness ofal-§ready existing as well as potential applications. There were§about one hundred participants registered for the conferen-§ce. With rare exceptions, all of the most active researchers§in the field of SPDE's throughout the world were present at§the conference. The main topics for discussion at the confe-§rence were: non-linear SPDE's and Markov property for random§fields, modern stochastic calculuses, numerical and asympto-§tic methods for SPDE's, applications of SPDE's with emphasis§onnon-linear filtering, stochastic control and statistical§fluid dynamics.