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1. Divergent Series, Summability and Resurgence I : Monodromy and Resurgence
by Claude Mitschi, David Sauzin
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2016
シリーズ名: Lecture Notes in Mathematics ; 2153
オンライン: http://dx.doi.org/10.1007/978-3-319-28736-2
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Preface.-Preface to the three volumes
Part I:Monodromy in Linear Differential Equations
1 analytic continuation and monodromy
Differential Galois Theory
Inverse Problems
The Riemann-Hilbert problem
Part II: Introduction to 1-Summability and Resurgence
5 Borel-Laplace Summation
Resurgent Functions and Alien Calculus
the Resurgent Viewpoint on Holomorphic Tangent-to-Identity Germs
Acknowledgements
Index
Preface.-Preface to the three volumes
Part I:Monodromy in Linear Differential Equations
1 analytic continuation and monodromy
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2. Divergent Series, Summability and Resurgence II : Simple and Multiple Summability
by Michèle Loday-Richaud
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2016
シリーズ名: Lecture Notes in Mathematics ; 2154
オンライン: http://dx.doi.org/10.1007/978-3-319-29075-1
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Avant-propos
Preface to the three volumes
Introduction to this volume
1 Asymptotic Expansions in the Complex Domain
2 Sheaves and Čech cohomology
3 Linear Ordinary Differential Equations
4 Irregularity and Gevrey Index Theorems
5 Four Equivalent Approaches to k-Summability
6 Tangent-to-Identity Diffeomorphisms
7 Six Equivalent Approaches to Multisummability
Exercises
Solutions to Exercises
Index
Glossary of Notations
References
Avant-propos
Preface to the three volumes
Introduction to this volume
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3. Bifurcation without Parameters
by Stefan Liebscher
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2015
シリーズ名: Lecture Notes in Mathematics ; 2117
オンライン: http://dx.doi.org/10.1007/978-3-319-10777-6
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Introduction
Methods & Concepts
Cosymmetries
Codimension One
Transcritical Bifurcation
Poincar´e-Andronov-Hopf Bifurcation
Application: Decoupling in Networks
Application: Oscillatory Profiles
Codimension Two
egenerate Transcritical Bifurcation
egenerate Andronov-Hopf Bifurcation
Bogdanov-Takens Bifurcation
Zero-Hopf Bifurcation
Double-Hopf Bifurcation
Application: Cosmological Models
Application: Planar Fluid Flow
Beyond Codimension Two
Codimension-One Manifolds of Equilibria
Summary & Outlook
Introduction
Methods & Concepts
Cosymmetries
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4. Berkovich Spaces and Applications
edited by Antoine Ducros, Charles Favre, Johannes Nicaise
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2015
シリーズ名: Lecture Notes in Mathematics ; 2119
オンライン: http://dx.doi.org/10.1007/978-3-319-11029-5
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Introduction to Berkovich analytic spaces
Etale cohomology of schemes and analytic spaces
Countability properties of Berkovich spaces
Cohomological finiteness of proper morphisms in algebraic geometry: a purely transcendental proof, without projective tools
Bruhat-Tits buildings and analytic geometry
Dynamics on Berkovich spaces in low dimensions
Compactifications of spaces of representations (after Culler, Morgan and Shalen)
Introduction to Berkovich analytic spaces
Etale cohomology of schemes and analytic spaces
Countability properties of Berkovich spaces
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5. Evolutionary Equations with Applications in Natural Sciences
edited by Jacek Banasiak, Mustapha Mokhtar-Kharroubi
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2015
シリーズ名: Lecture Notes in Mathematics ; 2126
オンライン: http://dx.doi.org/10.1007/978-3-319-11322-7
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Wilson Lamb: Applying functional analytic techniques to evolution equations
Adam Bobrowski: Boundary conditions in evolutionary equations in biology.-Ernesto Estrada: Introduction to Complex Networks: Structure and Dynamics.-Jacek Banasiak: Kinetic models in natural sciences
Philippe Laurençot: Weak compactness techniques and coagulation equations
Ryszard Rudnicki: Stochastic operators and semigroups and their applications in physics and biology
Mustapha Mokhtar-Kharroubi: Spectral theory for neutron transport.-Anna Marciniak-Czochra: Reaction-diffusion-ODE models of pattern formation
Mapundi Kondwani Banda: Nonlinear Hyperbolic Systems of Conservation Laws and Related Applications
Wilson Lamb: Applying functional analytic techniques to evolution equations
Adam Bobrowski: Boundary conditions in evolutionary equations in biology.-Ernesto Estrada: Introduction to Complex Networks: Structure and Dynamics.-Jacek Banasiak: Kinetic models in natural sciences
Philippe Laurençot: Weak compactness techniques and coagulation equations
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6. Quantum Quadratic Operators and Processes. 1st ed. 2015
by Farrukh Mukhamedov, Nasir Ganikhodjaev
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2015
シリーズ名: Lecture Notes in Mathematics ; 2133
オンライン: http://dx.doi.org/10.1007/978-3-319-22837-2
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Introduction
Quadratic Stochastic Operators
Quadratic Processes
Analytic methods in the theory of quadratic stochastic processes
Quantum quadratic operators
Quantum quadratic operators on M2(C)
Infinite-dimensional quadratic operators
Quantum quadratic stochastic processes
Introduction
Quadratic Stochastic Operators
Quadratic Processes
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7. Twisted Teichmüller Curves
by Christian Weiß
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2014
シリーズ名: Lecture Notes in Mathematics ; 2104
オンライン: http://dx.doi.org/10.1007/978-3-319-04075-2
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Introduction
Background
Teichmüller Curves
Twisted Teichmüller Curves
Stabilizer and Maximality
Calculations for Twisted Teichmüller Curves
Prym Varieties and Teichmüller Curves
Lyapunov Exponents
Kobayashi Curves Revisited
Appendix
Tables
List of Symbols
Index
Bibliography
Introduction
Background
Teichmüller Curves
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8. Singular Perturbations : Introduction to System Order Reduction Methods with Applications
by Elena Shchepakina, Vladimir Sobolev, Michael P. Mortell
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2014
シリーズ名: Lecture Notes in Mathematics ; 2114
オンライン: http://dx.doi.org/10.1007/978-3-319-09570-7
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Introduction
Slow Integral Manifolds
The Book of Numbers
Representations of Slow Integral Manifolds
Singular Singularly Perturbed Systems
Reduction Methods for Chemical Systems
Specific Cases
Canards and Black Swans
Appendix: Proofs
Introduction
Slow Integral Manifolds
The Book of Numbers
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9. 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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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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10. Invariance Entropy for Deterministic Control Systems : An Introduction
by Christoph Kawan
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2013
シリーズ名: Lecture Notes in Mathematics ; 2089
オンライン: http://dx.doi.org/10.1007/978-3-319-01288-9
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Basic Properties of Control Systems
Introduction to Invariance Entropy
Linear and Bilinear Systems
General Estimates
Controllability, Lyapunov Exponents, and Upper Bounds
Escape Rates and Lower Bounds
Examples
Notation
Bibliography
Index
Basic Properties of Control Systems
Introduction to Invariance Entropy
Linear and Bilinear Systems
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11. Nonautonomous Dynamical Systems in the Life Sciences
edited by Peter E. Kloeden, Christian Pötzsche
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2013
シリーズ名: Lecture Notes in Mathematics ; 2102
オンライン: http://dx.doi.org/10.1007/978-3-319-03080-7
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Nonautonomous dynamical systems in the life sciences
Random dynamical systems with inputs
Canard theory and excitability
Stimulus-response reliability of biological networks
Coupled nonautonomous oscillators
Multisite mechanisms for ultrasensitivity in signal transduction
Mathematical concepts in pharmacokinetics and pharmacodynamics with application to tumor growth
Viral kinetic modeling of chronic hepatitis C and B infection
Some classes of stochastic differential equations as an alternative modeling approach to biomedical problems
Nonautonomous dynamical systems in the life sciences
Random dynamical systems with inputs
Canard theory and excitability
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12. Stability and Bifurcation Theory for Non-Autonomous Differential Equations : Cetraro, Italy 2011, Editors: Russell Johnson, Maria Patrizia Pera
by Anna Capietto, Peter Kloeden, Jean Mawhin, Sylvia Novo, Rafael Ortega
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013
シリーズ名: Lecture Notes in Mathematics ; 2065
オンライン: http://dx.doi.org/10.1007/978-3-642-32906-7
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The Maslov index and global bifurcation for nonlinear boundary value problems
Discrete-time nonautonomous dynamical systems
Resonance problems for some non-autonomous ordinary differential equations
Non-autonomous functional differential equations and applications
Twist mappings with non-periodic angles
The Maslov index and global bifurcation for nonlinear boundary value problems
Discrete-time nonautonomous dynamical systems
Resonance problems for some non-autonomous ordinary differential equations
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13. Hamilton-Jacobi Equations: Approximations, Numerical Analysis and Applications : Cetraro, Italy 2011, Editors: Paola Loreti, Nicoletta Anna Tchou
by Yves Achdou, Guy Barles, Hitoshi Ishii, Grigory L. Litvinov
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013
シリーズ名: Lecture Notes in Mathematics ; 2074
オンライン: http://dx.doi.org/10.1007/978-3-642-36433-4
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Finite Difference Methods For Mean Field Games
An Introduction to the Theory of Viscosity Solutions for First-Order Hamilton-Jacobi Equations and Applications
A Short Introduction to Viscosity Solutions and the Large Time Behavior of Solutions of Hamilton-Jacobi Equations
Idempotent/Tropical Analysis, the Hamilton-Jacobi and Bellman Equations
Finite Difference Methods For Mean Field Games
An Introduction to the Theory of Viscosity Solutions for First-Order Hamilton-Jacobi Equations and Applications
A Short Introduction to Viscosity Solutions and the Large Time Behavior of Solutions of Hamilton-Jacobi Equations
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14. Fatou, Julia, Montel : The Great Prize of Mathematical Sciences of 1918, and Beyond
by Michele Audin
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2011
シリーズ名: Lecture Notes in Mathematics ; 2014
オンライン: http://dx.doi.org/10.1007/978-3-642-17854-2
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15. Distance Expanding Random Mappings, Thermodynamical Formalism, Gibbs Measures and Fractal Geometry
by Volker Mayer, Mariusz Urbanski, Bartlomiej Skorulski
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2011
シリーズ名: Lecture Notes in Mathematics ; 2036
オンライン: http://dx.doi.org/10.1007/978-3-642-23650-1
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16. Substitution Dynamical Systems - Spectral Analysis
by Martine Queffélec
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg, 2010
シリーズ名: Lecture Notes in Mathematics ; 1294
オンライン: http://dx.doi.org/10.1007/978-3-642-11212-6
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The Banach Algebra (T)
Spectral Theory of Unitary Operators
Spectral Theory of Dynamical Systems
Dynamical Systems Associated with Sequences
Dynamical Systems Arising from Substitutions
Eigenvalues of Substitution Dynamical Systems
Matrices of Measures
Matrix Riesz Products
Bijective Automata
Maximal Spectral Type of General Automata
Spectral Multiplicity of General Automata
Compact Automata
The Banach Algebra (T)
Spectral Theory of Unitary Operators
Spectral Theory of Dynamical Systems
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17. Mutational Analysis : A Joint Framework for Cauchy Problems in and Beyond Vector Spaces
by Thomas Lorenz
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg, 2010
シリーズ名: Lecture Notes in Mathematics ; 1996
オンライン: http://dx.doi.org/10.1007/978-3-642-12471-6
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Extending Ordinary Differential Equations to Metric Spaces: Aubin’s Suggestion
Adapting Mutational Equations to Examples in Vector Spaces: Local Parameters of Continuity
Less Restrictive Conditions on Distance Functions: Continuity Instead of Triangle Inequality
Introducing Distribution-Like Solutions to Mutational Equations
Mutational Inclusions in Metric Spaces
Extending Ordinary Differential Equations to Metric Spaces: Aubin’s Suggestion
Adapting Mutational Equations to Examples in Vector Spaces: Local Parameters of Continuity
Less Restrictive Conditions on Distance Functions: Continuity Instead of Triangle Inequality
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18. Holomorphic Dynamical Systems : Cetraro, Italy, July 7-12, 2008
by Marco Abate, Eric Bedford, Marco Brunella, Tien-Cuong Dinh, Dierk Schleicher, Nessim Sibony ; edited by Graziano Gentili, Jacques Guenot, Giorgio Patrizio
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2010
シリーズ名: Lecture Notes in Mathematics ; 1998
オンライン: http://dx.doi.org/10.1007/978-3-642-13171-4
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Discrete Holomorphic Local Dynamical Systems
Dynamics of Rational Surface Automorphisms
Uniformisation of Foliations by Curves
Dynamics in Several Complex Variables: Endomorphisms of Projective Spaces and Polynomial-like Mappings
Dynamics of Entire Functions
Discrete Holomorphic Local Dynamical Systems
Dynamics of Rational Surface Automorphisms
Uniformisation of Foliations by Curves
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19. Geometric Theory of Discrete Nonautonomous Dynamical Systems
by Christian Pötzsche
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg, 2010
シリーズ名: Lecture Notes in Mathematics ; 2002
オンライン: http://dx.doi.org/10.1007/978-3-642-14258-1
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Nonautonomous Dynamical Systems
Nonautonomous Difference Equations
Linear Difference Equations
Invariant Fiber Bundles
Linearization
Nonautonomous Dynamical Systems
Nonautonomous Difference Equations
Linear Difference Equations
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20. Smooth Ergodic Theory for Endomorphisms
by Min Qian, Jian-Sheng Xie, Shu Zhu
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2009
シリーズ名: Lecture Notes in Mathematics ; 1978
オンライン: http://dx.doi.org/10.1007/978-3-642-01954-8
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21. Vector fields on Singular Varieties
by Jean-Paul Brasselet, Jose Seade, Tatsuo Suwa
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2009
シリーズ名: Lecture Notes in Mathematics ; 1987
オンライン: http://dx.doi.org/10.1007/978-3-642-05205-7
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22. Local Lyapunov Exponents : Sublimiting Growth Rates of Linear Random Differential Equations
by Wolfgang Siegert ; edited by J. -M. Morel, F. Takens, B. Teissier
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg, 2009
シリーズ名: Lecture Notes in Mathematics ; 1963
オンライン: http://dx.doi.org/10.1007/978-3-540-85964-2
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23. Lectures on Topological Fluid Mechanics
by De Witt Sumners, Renzo L. Ricca, H. Keith Moffatt, Boris Khesin, Louis H. Kauffman, Mitchell A. Berger ; edited by Renzo L. Ricca
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2009
シリーズ名: Lecture Notes in Mathematics ; 1973
オンライン: http://dx.doi.org/10.1007/978-3-642-00837-5
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24. Existence and Regularity Properties of the Integrated Density of States of Random Schrodinger Operators
by Ivan Veselic
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2008
シリーズ名: Lecture Notes in Mathematics ; 1917
オンライン: http://dx.doi.org/10.1007/978-3-540-72691-3
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25. Stability of Nonautonomous Differential Equations
by Luis Barreira, Claudia Valls
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2008
シリーズ名: Lecture Notes in Mathematics ; 1926
オンライン: http://dx.doi.org/10.1007/978-3-540-74775-8
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26. Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms
by Rufus Bowen ; edited by Jean-Rene Chazottes
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2008
シリーズ名: Lecture Notes in Mathematics ; 470
オンライン: http://dx.doi.org/10.1007/978-3-540-77695-6
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27. Nonlinear and Optimal Control Theory : Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy June 19-29, 2004
by Andrei A. Agrachev, A. Stephen Morse, Eduardo D. Sontag, Hector J. Sussmann, Vadim I. Utkin ; edi
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2008
シリーズ名: Lecture Notes in Mathematics ; 1932
オンライン: http://dx.doi.org/10.1007/978-3-540-77653-6
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28. Mathematical Epidemiology
edited by Fred Brauer, Pauline Driessche, Jianhong Wu
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2008
シリーズ名: Lecture Notes in Mathematics ; 1945
オンライン: http://dx.doi.org/10.1007/978-3-540-78911-6
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29. Local and Semi-Local Bifurcations in Hamiltonian Dynamical Systems
by Heinz Hanﾎｲmann
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2007
シリーズ名: Lecture Notes in Mathematics ; 1893
オンライン: http://dx.doi.org/10.1007/3-540-38894-X
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30. Construction of Global Lyapunov Functions Using Radial Basis Functions
by Peter Giesl
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2007
シリーズ名: Lecture Notes in Mathematics ; 1904
オンライン: http://dx.doi.org/10.1007/978-3-540-69909-5
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31. Attractivity and Bifurcation for Nonautonomous Dynamical Systems
by Martin Rasmussen
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2007
シリーズ名: Lecture Notes in Mathematics ; 1907
オンライン: http://dx.doi.org/10.1007/978-3-540-71225-1
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32. Hamiltonian Reduction by Stages
by Jerrold E. Marsden, Gerard Misiolek, Juan-Pablo Ortega, Matthew Perlmutter, Tudor S. Ratiu
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2007
シリーズ名: Lecture Notes in Mathematics ; 1913
オンライン: http://dx.doi.org/10.1007/978-3-540-72470-4
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33. The Hamiltonian Approach
edited by Stephane Attal, Alain Joye, Claude-Alain Pillet
出版情報: Berlin, Heidelberg : Springer, 2006
シリーズ名: Lecture Notes in Mathematics ; 1880 . Open Quantum Systems ; 1
オンライン: http://dx.doi.org/10.1007/b128449
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34. The Markovian Approach
edited by Stephane Attal, Alain Joye, Claude-Alain Pillet
出版情報: Berlin, Heidelberg : Springer, 2006
シリーズ名: Lecture Notes in Mathematics ; 1881 . Open Quantum Systems ; 2
オンライン: http://dx.doi.org/10.1007/b128451
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35. Recent Developments
edited by Stephane Attal, Alain Joye, Claude-Alain Pillet
出版情報: Berlin, Heidelberg : Springer, 2006
シリーズ名: Lecture Notes in Mathematics ; 1882 . Open Quantum Systems ; 3
オンライン: http://dx.doi.org/10.1007/b128453
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36. Transseries and Real Differential Algebra
by Joris Hoeven
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2006
シリーズ名: Lecture Notes in Mathematics ; 1888
オンライン: http://dx.doi.org/10.1007/3-540-35590-1
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37. Hamiltonian Dynamics - Theory and Applications : Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, July 1-10, 1999
edited by Antonio Giorgilli, Giancarlo Benettin, Jacques Henrard, Sergei Kuksin
出版情報: Berlin Heidelberg : Springer-Verlag GmbH., 2005
シリーズ名: Lecture Notes in Mathematics ; 1861
オンライン: http://dx.doi.org/10.1007/b104338
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38. Metamorphoses of Hamiltonian Systems with Symmetries
edited by Konstantinos Efstathiou
出版情報: Berlin Heidelberg : Springer-Verlag GmbH., 2005
シリーズ名: Lecture Notes in Mathematics ; 1864
オンライン: http://dx.doi.org/10.1007/b105138
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