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Stochastic Analysis and Mathematical Physics
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| 概要 | 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 equa...tions, 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.続きを見る |
| 目次 | Functorial Analysis in Geometric Probability Theory Stochastic Volterra Equations with Singular Kernels Stochastic Diffeology and Homotopy Some Results on Entropic Projections Mehler-Type Semigroups on Hilbert Spaces and Their Generators Singular Limiting Behavior in Nonlinear Stochastic Wave Equations Complete Positivity and Open Quantum Systems Properties of Measure-preserving Shifts on the Wiener Space Martingale and Markov Uniqueness of Infinite Dimensional Nelson Diffusions. |
| 本文を見る | Full text available from SpringerLink ebooks - Mathematics and Statistics (Archive) |
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| 登録日 | 2020.06.27 |
| 更新日 | 2020.06.28 |