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2 produkter
Stochastic Partial Differential Equations and Their Applications
Proceedings of IFIP WG 7/1 International Conference University of North Carolina at Charlotte, NC, June 6–8,1991
Häftad, Engelska, 1992
540 kr
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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 Applications. While most of them are research papers, however, a few surveys written by experts are also included. The aim of the conference was to bring together mathematicians, physicists and engineers representing academic as well as industrial fields, who were interested in the theory and applications of SPDE's, a rapidly developing areas at the junction of several sciences. The main topics for discussion at the conference were non-linear SPDE's and Markov property for random fields, modern stochastic calculus, numerical and asymptotic methods for SPDE's, applications of SPDE's with emphasis on non-linear filtering, and stochastic control and statistical fluid dynamics.
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This volume contains papers presented at the Steklov Seminar on Statistics and Control of Stochastic Processes. For the past three decades, the seminar has determined the development, in a number of important directions, of the theory of random processes not only in the USSR (now Russia) but in the whole world. It was organised by A N Shiryaev in collaboration with N V Krylov and R Sh Liptser. It started off with optimal stopping and filtering with applications to engineering, and very soon extended its interests to more general problems of stochastic control, causal and anticipating stochastic calculus, limit theorems for semimartingales, martingale methods in queueing theory, foundations of statistics of random processes and, in recent years, mathematical finance. Many studies, for example of stochastic PDEs or extended stochastic integrals, anticipated largely Western works.The contributions in this book are devoted to the hottest topics and united by a martingale methodology which was the key idea of the seminar.