This volume represents the outgrowth of an ongoing workshop on stochastic analysis held in Lisbon. The nine survey articles in the volume extend concepts from classical probability and stochastic processes to a number of areas of mathematical physics. It is a good reference text for researchers and advanced students in the fields of probability, stochastic processes, analysis, geometry, mathematical physics, and physics. Key topics covered include: nonlinear stochastic wave equations, completely positive maps, Mehler-type semigroups on Hilbert spaces, entropic projections, and many others.
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Nine survey articles in this volume extend concepts from classical probability and stochastic processes to a number of areas of mathematical physics. Key topics covered include: non-linear stochastic wave equations, completely positive maps, Mehler-type semigroups on Hilbert spaces, entropic projections, martingale problem and Markov uniqueness of infinite-dimensional Nelson diffusions, analysis in geometric probability theory, measure-preserving shifts on the Wiener space, cohomology on loop spaces, and stochastic Volterra equations. Contributors include: H. Airault, L. Coutin, L. Decreusefond, C. Leonard, R. Leandre, P. Lescot, P. Malliavin, M. Oberguggenberger, R. Rebolledo, F. Russo, A.S. Ustunel, and L. Wu. The work, an outgrowth of a workshop on stochastic analysis held in Lisbon, serves as a good reference text for researchers and advanced students in the fields of probability, stochastic processes, analysis, geometry, math physics, and physics.
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Condition: New. Features nine survey articles which extend concepts from classical probability and stochastic processes to a number of areas of mathematical physics. This work covers key topics such as: nonlinear stochastic wave equations, completely positive maps, Mehler-type semigroups on Hilbert spaces, and entropic projections. Editor(s): Cruzeiro, A.B.; Zambrini, Jean-Claude. Series: Progress in Probability. Num Pages: 167 pages, biography. BIC Classification: PBT; PBWL; PH. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 235 x 155 x 11. Weight in Grams: 421. . 2001. Hardback. . . . . Seller Inventory # V9780817642464