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1. Recent Developments in Fractals and Related Fields
edited by Julien Barral, Stéphane Seuret
出版情報: Boston : Springer Science+Business Media, LLC, 2010
シリーズ名: Applied and Numerical Harmonic Analysis ;
オンライン: http://dx.doi.org/10.1007/978-0-8176-4888-6
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2. 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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3. Heat Kernels for Elliptic and Sub-elliptic Operators : Methods and Techniques. 1
by Ovidiu Calin, Der-Chen Chang, Kenro Furutani, Chisato Iwasaki
出版情報: Boston : Springer Science+Business Media, LLC, 2011
シリーズ名: Applied and Numerical Harmonic Analysis ;
オンライン: http://dx.doi.org/10.1007/978-0-8176-4995-1
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4. Stochastic Differential Equations in Infinite Dimensions : with Applications to Stochastic Partial Differential Equations
by Leszek Gawarecki, Vidyadhar Mandrekar
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2011
シリーズ名: Probability and Its Applications ;
オンライン: http://dx.doi.org/10.1007/978-3-642-16194-0
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5. 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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6. Stochastic Differential Equations
edited by Jaures Cecconi
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2011
シリーズ名: C.I.M.E. Summer Schools ; 77
オンライン: http://dx.doi.org/10.1007/978-3-642-11079-5
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7. Approximation by Multivariate Singular Integrals
by George A. Anastassiou
出版情報: New York, NY : George A. Anastassiou, 2011
シリーズ名: SpringerBriefs in Mathematics ;
オンライン: http://dx.doi.org/10.1007/978-1-4614-0589-4
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8. Progress in Industrial Mathematics at ECMI 2006
edited by Luis L. Bonilla, Miguel Moscoso, Gloria Platero, Jose M. Vega
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2008
シリーズ名: Mathematics in Industry, The European Consortium for Mathematics in Industry ; 12
オンライン: http://dx.doi.org/10.1007/978-3-540-71992-2
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9. Calcolo stocastico per la finanza
by Andrea Pascucci
出版情報: Milano : Springer-Verlag Italia, Milano, 2008
シリーズ名: UNITEXT ;
オンライン: http://dx.doi.org/10.1007/978-88-470-0601-0
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10. An Introduction to Fronts in Random Media
by Jack Xin
出版情報: New York, NY : Springer-Verlag New York, 2009
シリーズ名: Surveys and Tutorials in the Applied Mathematical Sciences ; 5
オンライン: http://dx.doi.org/10.1007/978-0-387-87683-2
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11. Operator Inequalities of the Jensen, Čebyšev and Grüss Type. 1
by Silvestru Sever Dragomir
出版情報: New York, NY : Silvestru Sever Dragomir, 2012
シリーズ名: SpringerBriefs in Mathematics ;
オンライン: http://dx.doi.org/10.1007/978-1-4614-1521-3
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12. Nonlinear Filtering and Optimal Phase Tracking
by Zeev Schuss
出版情報: Boston, MA : Springer Science+Business Media, LLC, 2012
シリーズ名: Applied Mathematical Sciences ; 180
オンライン: http://dx.doi.org/10.1007/978-1-4614-0487-3
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13. Operator Inequalities of Ostrowski and Trapezoidal Type
by Silvestru Sever Dragomir
出版情報: New York, NY : Silvestru Sever Dragomir, 2012
シリーズ名: SpringerBriefs in Mathematics ;
オンライン: http://dx.doi.org/10.1007/978-1-4614-1779-8
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14. 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
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15. Further Developments in Fractals and Related Fields : Mathematical Foundations and Connections
edited by Julien Barral, Stéphane Seuret
出版情報: Boston : Birkhäuser Boston : Imprint: Birkhäuser, 2013
シリーズ名: Trends in Mathematics ;
オンライン: http://dx.doi.org/10.1007/978-0-8176-8400-6
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目次情報: 続きを見る
The Rauzy Gasket
On the Hausdorff Dimension of Graphs of Prevalent Continuous Functions on Compact Sets
Hausdorff Dimension and Diophantine Approximation
Singular Integrals on Self-Similar Subsets of Metric Groups
Multivariate Davenport Series
Dimensions of Self-Affine Sets
The Multifractal Spectra of V-Statistics
Projections of Measures Invariant Under the Geodesic Flow
Multifractal Tubes
The Multiplicative Golden Mean Shift has Infinite Hausdorff Measure
The Law of Iterated Logarithm and Equilibrium Measures Versus Hausdorff Measures For Dynamically Semi-Regular Meromorphic Functions
Cookie-Cutter-Like Sets with Graph Directed Construction
Recent Developments on Fractal Properties of Gaussian Random Fields.
The Rauzy Gasket
On the Hausdorff Dimension of Graphs of Prevalent Continuous Functions on Compact Sets
Hausdorff Dimension and Diophantine Approximation
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16. Optimal Stochastic Control, Stochastic Target Problems, and Backward SDE
by Nizar Touzi
出版情報: New York, NY : Springer New York : Imprint: Springer, 2013
シリーズ名: Fields Institute Monographs ; 29
オンライン: http://dx.doi.org/10.1007/978-1-4614-4286-8
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Preface
1. Conditional Expectation and Linear Parabolic PDEs
2. Stochastic Control and Dynamic Programming
3. Optimal Stopping and Dynamic Programming
4. Solving Control Problems by Verification
5. Introduction to Viscosity Solutions
6. Dynamic Programming Equation in the Viscosity Sense
7. Stochastic Target Problems
8. Second Order Stochastic Target Problems
9. Backward SDEs and Stochastic Control
10. Quadratic Backward SDEs
11. Probabilistic Numerical Methods for Nonlinear PDEs
12. Introduction to Finite Differences Methods
References
Preface
1. Conditional Expectation and Linear Parabolic PDEs
2. Stochastic Control and Dynamic Programming
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17. Advances in Superprocesses and Nonlinear PDEs
edited by Janos Englander, Brian Rider
出版情報: Boston, MA : Springer US : Imprint: Springer, 2013
シリーズ名: Springer Proceedings in Mathematics & Statistics ; 38
オンライン: http://dx.doi.org/10.1007/978-1-4614-6240-8
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 Markov processes and their applications to partial differential equations Kuznetsov's contributions
Stochastic equations on projective systems of groups
Modeling competition between two influenza strains
Asymptotic Results for Near Critical Bienaym\'e-Galton-Watson and Catalyst-Reactant Branching Processes
Some path large deviation results for a branching diffusion
Longtime Behavior for Mutually Catalytic Branching
Super-Brownian motion: Lp-convergence of martingales through the pathwise spine decomposition
 Markov processes and their applications to partial differential equations Kuznetsov's contributions
Stochastic equations on projective systems of groups
Modeling competition between two influenza strains
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18. Mathematical Physics, Spectral Theory and Stochastic Analysis
edited by Michael Demuth, Werner Kirsch
出版情報: Basel : Springer Basel : Imprint: Birkhäuser, 2013
シリーズ名: Operator Theory: Advances and Applications ; 232
オンライン: http://dx.doi.org/10.1007/978-3-0348-0591-9
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19. Quasi-Stationary Distributions : Markov Chains, Diffusions and Dynamical Systems
by Pierre Collet, Servet Martínez, Jaime San Martín
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013
シリーズ名: Probability and Its Applications ;
オンライン: http://dx.doi.org/10.1007/978-3-642-33131-2
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目次情報: 続きを見る
1.Introduction
2.Quasi-stationary Distributions: General Results
3.Markov Chains on Finite Spaces
4.Markov Chains on Countable Spaces
5.Birth and Death Chains
6.Regular Diffusions on [0,∞)
7.Infinity as Entrance Boundary
8.Dynamical Systems
References
Index
Table of Notations
Citations Index.
1.Introduction
2.Quasi-stationary Distributions: General Results
3.Markov Chains on Finite Spaces
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20. Harnack Inequalities for Stochastic Partial Differential Equations
by Feng-Yu Wang
出版情報: New York, NY : Springer New York : Imprint: Springer, 2013
シリーズ名: SpringerBriefs in Mathematics ;
オンライン: http://dx.doi.org/10.1007/978-1-4614-7934-5
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21. Mean Field Games and Mean Field Type Control Theory
by Alain Bensoussan, Jens Frehse, Phillip Yam
出版情報: New York, NY : Springer New York : Imprint: Springer, 2013
シリーズ名: SpringerBriefs in Mathematics ;
オンライン: http://dx.doi.org/10.1007/978-1-4614-8508-7
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目次情報: 続きを見る
Introduction
General Presentation of Mean Field Control Problems
Discussion of the Mean Field game
Discussion of the Mean Field Type Control
Approximation of Nash Games with a large number of players
Linear Quadratic Models
Stationary Problems- Different Populations
Nash differential games with Mean Field effect
Introduction
General Presentation of Mean Field Control Problems
Discussion of the Mean Field game
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22. 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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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
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23. 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
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24. Introduction to Fractional and Pseudo-Differential Equations with Singular Symbols
by Sabir Umarov
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2015
シリーズ名: Developments in Mathematics ; 41
オンライン: http://dx.doi.org/10.1007/978-3-319-20771-1
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目次情報: 続きを見る
Function Spaces and Distributions
Pseudo-Differential Operators with Singular Symbols (DOSS)
Fractional Calculus and Fractional Order Operators
Boundary Value Problems for Pseudo-Differential Equations with Singular Symbols
Initial and Boundary Value Problems for Fractional Order Differential Equations
Distributed and Variable Order Differential-Operator Equations
Fractional Fokker-Planck-Kolmogorov Equations
Random Walk Approximants of Mixed and Time-Changed Levy Processes
Complex DOSS and Systems of Complex Differential Equations
References
Function Spaces and Distributions
Pseudo-Differential Operators with Singular Symbols (DOSS)
Fractional Calculus and Fractional Order Operators
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25. Progress in Industrial Mathematics at ECMI 2004
edited by A. Bucchianico, R.M.M. Mattheij, M.A. Peletier
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2006
シリーズ名: Mathematics in Industry, The European Consortium for Mathematics in Industry ; 8
オンライン: http://dx.doi.org/10.1007/3-540-28073-1
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26. An Introduction to Infinite-Dimensional Analysis
by Giuseppe Prato
出版情報: Berlin, Heidelberg : Springer, 2006
オンライン: http://dx.doi.org/10.1007/3-540-29021-4
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27. Optimal Stopping and Free-Boundary Problems
by Goran Peskir, Albert Shiryaev
出版情報: Basel : Birkhäuser Verlag, 2006
シリーズ名: Lectures in Mathematics. ETH Zürich ;
オンライン: http://dx.doi.org/10.1007/978-3-7643-7390-0
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28. Wave Propagation and Time Reversal in Randomly Layered Media
edited by Jean-Pierre Fouque, Josselin Garnier, George Papanicolaou, Knut Solna
出版情報: New York : Springer Science+Business Media, LLC, 2007
シリーズ名: Stochastic Modelling and Applied Probability ; 56
オンライン: http://dx.doi.org/10.1007/978-0-387-49808-9
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29. The Strength of Nonstandard Analysis
edited by Imme Berg, Vítor Neves
出版情報: Vienna : Springer-Verlag Wien, 2007
オンライン: http://dx.doi.org/10.1007/978-3-211-49905-4
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30. Multiscale Methods : Averaging and Homogenization
by Grigorios A. Pavliotis, Andrew M. Stuart
出版情報: New York, NY : Springer Science+Business Media, LLC, 2008
シリーズ名: Texts Applied in Mathematics ; 53
オンライン: http://dx.doi.org/10.1007/978-0-387-73829-1
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31. Stochastic Control of Hereditary Systems and Applications
edited by Mou-Hsiung Chang
出版情報: New York, NY : Springer Science+Business Media, LLC, 2008
シリーズ名: Stochastic Modelling and Applied Probability ; 59
オンライン: http://dx.doi.org/10.1007/978-0-387-75816-9
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32. The Art of Random Walks
by András Telcs
出版情報: Berlin, Heidelberg : Springer, 2006
シリーズ名: Lecture Notes in Mathematics ; 1885
オンライン: http://dx.doi.org/10.1007/b134090
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33.

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33. A Concise Course on Stochastic Partial Differential Equations
by Claudia Prévôt, Michael Röckner
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2007
シリーズ名: Lecture Notes in Mathematics ; 1905
オンライン: http://dx.doi.org/10.1007/978-3-540-70781-3
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34. Entropy Methods for the Boltzmann Equation : Lectures from a Special Semester at the Centre Émile Borel, Institut H. Poincaré, Paris, 2001
by Fraydoun Rezakhanlou, Cédric Villani ; edited by François Golse, Stefano Olla
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2008
シリーズ名: Lecture Notes in Mathematics ; 1916
オンライン: http://dx.doi.org/10.1007/978-3-540-73705-6
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35. Multiscale Problems in the Life Sciences : From Microscopic to Macroscopic
by Jacek Banasiak, Mark A. J. Chaplain, Jacek Miękisz ; edited by Vincenzo Capasso, Mirosław Lachowicz
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2008
シリーズ名: Lecture Notes in Mathematics ; 1940
オンライン: http://dx.doi.org/10.1007/978-3-540-78362-6
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36. SPDE in Hydrodynamic: Recent Progress and Prospects : Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy August 29–September 3, 2005
by Sergio Albeverio, Franco Flandoli, Yakov G. Sinai ; edited by Giuseppe Prato, Michael Rückner
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2008
シリーズ名: Lecture Notes in Mathematics ; 1942
オンライン: http://dx.doi.org/10.1007/978-3-540-78493-7
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37. A Minicourse on Stochastic Partial Differential Equations
by Robert Dalang, Davar Khoshnevisan, Carl Mueller, David Nualart, Yimin Xiao ; edited by J. -M. Morel, F. Takens, B. Teissier, Davar Khoshnevisan, Firas Rassoul-Agha
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg, 2009
シリーズ名: Lecture Notes in Mathematics ; 1962
オンライン: http://dx.doi.org/10.1007/978-3-540-85994-9
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38. Boundary Value Problems and Markov Processes
by Kazuaki Taira
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2009
シリーズ名: Lecture Notes in Mathematics ; 1499
オンライン: http://dx.doi.org/10.1007/978-3-642-01677-6
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39. The Dynamics of Nonlinear Reaction-Diffusion Equations with Small Lévy Noise
by Arnaud Debussche, Michael Högele, Peter Imkeller
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2013
シリーズ名: Lecture Notes in Mathematics ; 2085
オンライン: http://dx.doi.org/10.1007/978-3-319-00828-8
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目次情報: 続きを見る
Introduction
The fine dynamics of the Chafee- Infante equation
The stochastic Chafee- Infante equation
The small deviation of the small noise solution
Asymptotic exit times
Asymptotic transition times
Localization and metastability
The source of stochastic models in conceptual climate dynamics
Introduction
The fine dynamics of the Chafee- Infante equation
The stochastic Chafee- Infante equation
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40. Strong and Weak Approximation of Semilinear Stochastic Evolution Equations
by Raphael Kruse
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2014
シリーズ名: Lecture Notes in Mathematics ; 2093
オンライン: http://dx.doi.org/10.1007/978-3-319-02231-4
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目次情報: 続きを見る
Introduction
Stochastic Evolution Equations in Hilbert Spaces
Optimal Strong Error Estimates for Galerkin Finite Element Methods
A Short Review of the Malliavin Calculus in Hilbert Spaces
A Malliavin Calculus Approach to Weak Convergence
Numerical Experiments
Some Useful Variations of Gronwall’s Lemma
Results on Semigroups and their Infinitesimal Generators
A Generalized Version of Lebesgue’s Theorem
References
Index
Introduction
Stochastic Evolution Equations in Hilbert Spaces
Optimal Strong Error Estimates for Galerkin Finite Element Methods
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41. Brownian Motion and its Applications to Mathematical Analysis : École d'Été de Probabilités de Saint-Flour XLIII – 2013
by Krzysztof Burdzy
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2014
シリーズ名: Lecture Notes in Mathematics ; 2106
オンライン: http://dx.doi.org/10.1007/978-3-319-04394-4
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目次情報: 続きを見る
1. Brownian motion
2. Probabilistic proofs of classical theorems
3. Overview of the "hot spots" problem
4. Neumann eigenfunctions and eigenvalues
5. Synchronous and mirror couplings
6. Parabolic boundary Harnack principle
7. Scaling coupling
8. Nodal lines
9. Neumann heat kernel monotonicity
10. Reflected Brownian motion in time dependent domains
1. Brownian motion
2. Probabilistic proofs of classical theorems
3. Overview of the "hot spots" problem
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42. Progress in Industrial Mathematics at ECMI 2008
edited by Alistair D. Fitt, John Norbury, Hilary Ockendon, Eddie Wilson
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2010
シリーズ名: Mathematics in Industry ; 15
オンライン: http://dx.doi.org/10.1007/978-3-642-12110-4
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