Title Statements
- Full title :Stochastic analysis and mathematical physics / A.B. Cruzeiro, J.-C. Zambrini, editors.
Summary
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: nonlinear 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: H. Airault * L. Coutin * L. Decreusefond * C. Leonard * R. Leandre * P. Lescot * P. Malliavin * M. Oberguggenberger * R. Rebolledo * F. Russo * A.S. Ustunel * 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.
Read More ↓Edition Statements
- Publication Date:©2001.
Publication Statements
- Publisher(s):Birkhäuser
- Place of Publication:Boston
- Language:eng
- Publication Date:©2001.
The Physical Object
- Description:1 online resource (158 pages)
Edition Identifiers
- ISBN:9781461266242, 1461266246, 9781461201274, 1461201276
- DOI:10.1007/978-1-4612-0127-4
- oclc:ocn680294186
- LC Classification:QC20.7.S8
- Dewey Decimal:519.2
Table of Contents
Functorial analysis in geometric probability theory / by Hélène Airault and Paul Malliavin -- Stochastic volterra equations with singular kernels / by L. Coutin and L. Decreusefond -- Stochastic diffeology and homotopy / by Remi Léandre -- Some results on entropic projections / by C. Léonard -- Mehler-type semigroups on Hilbert spaces and their generators / by Paul Lescot -- Singular limiting behavior in nonlinear stochastic wave equations / by Michael Oberguggenberger and Francesco Russo -- Complete positivity and open quantum systems / by Rolando Rebolledo -- Properties of measure-preserving shifts on the Wiener space / A.S. Üstünel -- Martingale and Markov uniqueness of infinite dimensional Nelson diffusions / by Liming Wu.
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