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2 produkter
Del 176 - Lecture Notes in Control and Information Sciences
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
539 kr
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This volume consists of 24 papers submitted for publicationby the invited speakers of the IFIP International Conferenceon Stochastic Partial Differential Equations and their Ap-plications. Most of them are research papers, however, a fewsurveys 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 wellas 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 severalsciences. It is especially attractive for many because ofits interdisciplinary character and enormous richness ofal-ready existing as well as potential applications. There wereabout one hundred participants registered for the conferen-ce. With rare exceptions, all of the most active researchersin the field of SPDE's throughout the world were present atthe conference. The main topics for discussion at the confe-rence were: non-linear SPDE's and Markov property for randomfields, modern stochastic calculuses, numerical and asympto-tic methods for SPDE's, applications of SPDE's with emphasisonnon-linear filtering, stochastic control and statisticalfluid 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.