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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.
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登録日 2020.06.27
更新日 2020.06.28