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1.

電子ブック
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1. Stochastic Partial Differential Equations : A Modeling, White Noise Functional Approach
by Helge Holden, Bernt Øksendal, Jan Ubøe, Tusheng Zhang
出版情報: New York, NY : Springer Science+Business Media, LLC, 2010
シリーズ名: Universitext ;
オンライン: http://dx.doi.org/10.1007/978-0-387-89488-1
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2.

電子ブック
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2. Almost Periodic Stochastic Processes
by Paul H. Bezandry, Toka Diagana
出版情報: New York, NY : Springer Science+Business Media, LLC, 2011
オンライン: http://dx.doi.org/10.1007/978-1-4419-9476-9
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3.

電子ブック
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3. Stochastic Analysis and Related Topics : In Honour of Ali Süleyman Üstünel, Paris, June 2010
edited by Laurent Decreusefond, Jamal Najim
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2012
シリーズ名: Springer Proceedings in Mathematics & Statistics ; 22
オンライン: http://dx.doi.org/10.1007/978-3-642-29982-7
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目次情報: 続きを見る
1.Boubacar Bah, Etienne Pardoux and Ahmadou Bamba Sow: A look–down model with selection
2.Alain Bensoussan: Control of Inventories with Markov Demand
3.Zdzisław Brzezniak and Annie Millet: On the splitting method for some complex-valued quasilinear evolution equations
4. Caroline Hillairet and Monique Pontier: A Modelisation of Public Private Parternships with failure time
5.Joseph Najnudel, Daniel Stroock and Marc Yor: On a flow of transformations of a Wiener space
6.Nicolas Privault: Measure invariance on the Lie-Wiener path space
7.Denis Talay: Derivatives of Solutions of Semilinear Parabolic PDEs and Variational Inequalities with Neumann Boundary Conditions
8.Samy Tindel and Iván Torrecilla: Some differential systems driven by a fBm with Hurst parameter greater than ¼
9.Ali Suleyman Üstünel: Transportation cost inequalities for diffusions under uniform distance
Glossary
1.Boubacar Bah, Etienne Pardoux and Ahmadou Bamba Sow: A look–down model with selection
2.Alain Bensoussan: Control of Inventories with Markov Demand
3.Zdzisław Brzezniak and Annie Millet: On the splitting method for some complex-valued quasilinear evolution equations
4.

電子ブック
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4. Approximation of Stochastic Invariant Manifolds : Stochastic Manifolds for Nonlinear SPDEs I
by Mickaël D. Chekroun, Honghu Liu, Shouhong Wang
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2015
シリーズ名: SpringerBriefs in Mathematics ;
オンライン: http://dx.doi.org/10.1007/978-3-319-12496-4
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目次情報: 続きを見る
General Introduction
Stochastic Invariant Manifolds: Background and Main Contributions
Preliminaries
Stochastic Evolution Equations
Random Dynamical Systems
Cohomologous Cocycles and Random Evolution Equations
Linearized Stochastic Flow and Related Estimates
Existence and Attraction Properties of Global Stochastic Invariant Manifolds
Existence and Smoothness of Global Stochastic Invariant Manifolds
Asymptotic Completeness of Stochastic Invariant Manifolds
Local Stochastic Invariant Manifolds: Preparation to Critical Manifolds
Local Stochastic Critical Manifolds: Existence and Approximation Formulas
Standing Hypotheses
Existence of Local Stochastic Critical Manifolds
Approximation of Local Stochastic Critical Manifolds
Proofs of Theorem 6.1 and Corollary 6.1
Approximation of Stochastic Hyperbolic Invariant Manifolds
A Classical and Mild Solutions of the Transformed RPDE
B Proof of Theorem 4.1
References
General Introduction
Stochastic Invariant Manifolds: Background and Main Contributions
Preliminaries
5.

電子ブック
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5. Stochastic Parameterizing Manifolds and Non-Markovian Reduced Equations : Stochastic Manifolds for Nonlinear SPDEs II
by Mickaël D. Chekroun, Honghu Liu, Shouhong Wang
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2015
シリーズ名: SpringerBriefs in Mathematics ;
オンライン: http://dx.doi.org/10.1007/978-3-319-12520-6
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目次情報: 続きを見る
General Introduction
Preliminaries
Invariant Manifolds
Pullback Characterization of Approximating, and Parameterizing Manifolds
Non-Markovian Stochastic Reduced Equations
On-Markovian Stochastic Reduced Equations on the Fly
Proof of Lemma 5.1.-References
Index.
General Introduction
Preliminaries
Invariant Manifolds