New trends in stochastic analysis and related topics : a volume in honour of Professor K.D. Elworthy
著者
書誌事項
New trends in stochastic analysis and related topics : a volume in honour of Professor K.D. Elworthy
（Interdisciplinary mathematical sciences, v. 12）
World Scientific, c2012
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注記
Includes bibliographical references
内容説明・目次
内容説明
The volume is dedicated to Professor David Elworthy to celebrate his fundamental contribution and exceptional influence on stochastic analysis and related fields. Stochastic analysis has been profoundly developed as a vital fundamental research area in mathematics in recent decades. It has been discovered to have intrinsic connections with many other areas of mathematics such as partial differential equations, functional analysis, topology, differential geometry, dynamical systems, etc. Mathematicians developed many mathematical tools in stochastic analysis to understand and model random phenomena in physics, biology, finance, fluid, environment science, etc. This volume contains 12 comprehensive review/new articles written by world leading researchers (by invitation) and their collaborators. It covers stochastic analysis on manifolds, rough paths, Dirichlet forms, stochastic partial differential equations, stochastic dynamical systems, infinite dimensional analysis, stochastic flows, quantum stochastic analysis and stochastic Hamilton Jacobi theory. Articles contain cutting edge research methodology, results and ideas in relevant fields. They are of interest to research mathematicians and postgraduate students in stochastic analysis, probability, partial differential equations, dynamical systems, mathematical physics, as well as to physicists, financial mathematicians, engineers, etc.
目次
- Stochastic Geometric PDEs (Z Brzezniak et al.)
- Rough Paths on Manifolds (T Cass et al.)
- Averaging, Homogenization and Slow Manifolds for Stochastic Partial Differential Equations (J Q Duan et al.)
- Averaging, Homogenization and Slow Manifolds for Stochastic Partial Differential Equations (J Q Duan et al.)
- A Burgers-Zeldovich Model for the Formation of Planetesimals via Nelson's Stochastic Mechanics (R Durran et al.)
- Two Problems Concerning Brownian Motion on a Complete Riemannian Manifold (E P Hsu)
- Sticky Shuffle Product Hopf Algebras and Their Stochastic Representations (R Hudson)
- Chain Rules for Levy Flows and Kolmogorov Equations for Associated Jump-Diffusions (H Kunita)
- The Stochastic Differential Equation Approach to Analysis on Path Space (X-M Li)
- Pathwise Properties of Random Quadratic Mapping (P Lian & H Z Zhao)
- Invariant Manifolds for Infinite Dimensional Random Dynamical Systems (K N Lu & B Schmalfuss)
- Some Topics on Dirichlet Forms (Z M Ma & W Sun)
- Hamilton - Jacobi Theory and the Stochastic Elementary Formula (A Neate & A Truman).
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