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New trends in stochastic analysis and related topics : a volume in honour of Professor K.D. Elworthy

Author: Huaizhong Zhao; A Truman; K D Elworthy
Publisher: Hackensack, N.J. : World Scientific, 2012.
Series: Interdisciplinary mathematical sciences, v. 12.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
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,  Read more...
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Genre/Form: Electronic books
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Huaizhong Zhao; A Truman; K D Elworthy
ISBN: 9789814360920 9814360929
OCLC Number: 785777985
Description: 1 online resource (xx, 437 pages) : illustrations (chiefly color).
Contents: 1. Stochastic geometric partial differential equations / Zdzislaw Brzezniak, Beniamin Goldys and Martin Ondrejat --
2. Rough paths on manifolds / Thomas Cass, Christian Litterer and Terry Lyons --
3. Averaging, homogenization and slow manifolds for stochastic partial differential equations / Jinqiao Duan, Anthony Roberts and Wei Wang --
4. A Burgers-Zeldovich model for the formation of planetesimals via Nelson's stochastic mechanics / Richard Durran [and others] --
5. Two problems concerning Brownian motion on a complete Riemannian manifold / Elton P. Hsu --
6. Sticky shuffle product Hopf algebras and their stochastic representations / Robin Hudson --
7. Chain rules for Levy flows and Kolmogorov equations for associated jump-diffusions / Hiroshi Kunita --
8. The stochastic differential equation approach to analysis on path space / Xue-Mei Li --
9. Pathwise properties of random quadratic mapping / Peng Lian and Huaizhong Zhao --
10. Invariant manifolds for infinite dimensional random dynamical systems / Kening Lu and Bjorn Schmalfub --
11. Some topics on Dirichlet forms / Zhi-Ming Ma and Wei Sun --
12. Hamilton-Jacobi theory and the stochastic elementary formula / Andrew Neate and Aubrey Truman.
Series Title: Interdisciplinary mathematical sciences, v. 12.
Responsibility: editors Huizhong Zhao, Aubrey Truman.

Abstract:

Stochastic analysis has been profoundly developed as a vital fundamental research area in mathematics in recent decades. This title is dedicated to Professor David Elworthy to celebrate his  Read more...

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