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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. Numerical Methods for Controlled Stochastic Delay Systems
by Harold J. Kushner
出版情報: Boston : Birkhäuser Boston, 2008
シリーズ名: Systems & Control: Foundations & Applications ;
オンライン: http://dx.doi.org/10.1007/978-0-8176-4621-9
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3. 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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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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4. Time : Poincaré Seminar 2010
edited by Bertrand Duplantier
出版情報: Basel : Springer Basel : Imprint: Birkhäuser, 2013
シリーズ名: Progress in Mathematical Physics ; 63
オンライン: http://dx.doi.org/10.1007/978-3-0348-0359-5
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Foreword
Time and Relativity, Thibault Damour
(Ir)reversibility and Entropy, Cédric Villani
(Ir)réversibilité et entropie, Cédric Villani
Equalities and Inequalities: Irreversibility and the Second Law of Thermodynamics at the Nanoscale, Christopher Jarzynski
Time Measurement in the XXIst Century, Christophe Salomon
Time’s Arrow and Eddington’s Challenge, Huw Price
Image of Time’s Irreversibility, Catherine de Mitry
Image de l'irréversibilité du Temps, Catherine de Mitry
Foreword
Time and Relativity, Thibault Damour
(Ir)reversibility and Entropy, Cédric Villani
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5. 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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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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6. Continuous-Time Markov Jump Linear Systems
by Oswaldo L.V. Costa, Marcelo D. Fragoso, Marcos G. Todorov
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/10.1007/978-3-642-34100-7
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1.Introduction
2.A Few Tools and Notations
3.Mean Square Stability
4.Quadratic Optimal Control with Complete Observations
5.H2 Optimal Control With Complete Observations
6.Quadratic and H2 Optimal Control with Partial Observations
7.Best Linear Filter with Unknown (x(t), θ(t))
8.H_$infty$ Control
9.Design Techniques
10.Some Numerical Examples
A.Coupled Differential and Algebraic Riccati Equations
B.The Adjoint Operator and Some Auxiliary Results
References. - Notation and Conventions
Index
1.Introduction
2.A Few Tools and Notations
3.Mean Square Stability
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7. Ergodic Theory, Open Dynamics, and Coherent Structures
edited by Wael Bahsoun, Christopher Bose, Gary Froyland
出版情報: New York, NY : Springer New York : Imprint: Springer, 2014
シリーズ名: Springer Proceedings in Mathematics & Statistics ; 70
オンライン: http://dx.doi.org/10.1007/978-1-4939-0419-8
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1. Nonautonomous flows as open dynamical systems: characterising escape rates and time-varying boundaries
2. Eigenvalues of transfer operators for dynamical systems with holes
3. Periodic points, escape rates and escape measures
4. A multi-time step method to compute optical flow with scientific priors for observations of a fluidic system
5. Numerical approximation of conditionally invariant measures via maximum entropy
6. Lebesgue ergodicity of a dissipative subtractive algorithm
7. Improved estimates of survival probabilities via isospectral transformations
8. Dispersing billiards with small holes
9. Almost-invariant and finite-time coherent sets: directionality, duration, and diffusion
Return-time statistics, hitting-time statistics, and inducing
1. Nonautonomous flows as open dynamical systems: characterising escape rates and time-varying boundaries
2. Eigenvalues of transfer operators for dynamical systems with holes
3. Periodic points, escape rates and escape measures
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8. Geometry and Analysis of Fractals : Hong Kong, December 2012
edited by De-Jun Feng, Ka-Sing Lau
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2014
シリーズ名: Springer Proceedings in Mathematics & Statistics ; 88
オンライン: http://dx.doi.org/10.1007/978-3-662-43920-3
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Mandelbrot cascades and related topics
Law of pure types and some exotic spectra of fractal spectral measures
The role of transfer operators and shifts in the study of fractals: encoding-models, analysis and geometry, commutative and non-commutative
Generalized energy inequalities and higher multifractal moments
Some Aspects of Multifractal analysis
Heat kernels on metric measure spaces
Stochastic completeness of jump processes on metric measure spaces
Self similar sets, entropy and additive combinatorics
Quasisymmetric modification of metrics on self-similar sets
Recent progress on dimensions of projections
The geometry of fractal percolation
Self-affine sets and the continuity of subadditive pressure
Stability properties of fractal curvatures
Mandelbrot cascades and related topics
Law of pure types and some exotic spectra of fractal spectral measures
The role of transfer operators and shifts in the study of fractals: encoding-models, analysis and geometry, commutative and non-commutative
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9. Multiple Time Scale Dynamics
by Christian Kuehn
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2015
シリーズ名: Applied Mathematical Sciences ; 191
オンライン: http://dx.doi.org/10.1007/978-3-319-12316-5
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Introduction
General Fenichel Theory
Geometric Singular Perturbation Theory
Normal Forms
Direct Asymptotic Methods
Tracking Invariant Manifolds
The Blow-Up Method
Singularities and Canards
Advanced Asymptotic Methods
Numerical Methods
Computing Manifolds
Scaling and Delay
Oscillations
Chaos in Fast-Slow Systems
Stochastic Systems
Topological Methods
Spatial Dynamics
Infinite Dimensions
Other Topics
Applications
Introduction
General Fenichel Theory
Geometric Singular Perturbation Theory
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10. 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