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1. Extensions of Positive Definite Functions : Applications and Their Harmonic Analysis
by Palle Jorgensen, Steen Pedersen, Feng Tian
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2016
シリーズ名: Lecture Notes in Mathematics ; 2160
オンライン: http://dx.doi.org/10.1007/978-3-319-39780-1
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2. Pseudodifferential Equations Over Non-Archimedean Spaces
by W. A. Zúñiga-Galindo
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2016
シリーズ名: Lecture Notes in Mathematics ; 2174
オンライン: http://dx.doi.org/10.1007/978-3-319-46738-2
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目次情報: 続きを見る
p-Adic Analysis: Essential Ideas and Results
Parabolic-type Equations and Markov Processes
Non-Archimedean Parabolic-type Equations With Variable Coefficients
Parabolic-Type Equations on Adeles
Fundamental Solutions and Schrödinger Equations
Pseudodifferential Equations of Klein-Gordon Type
p-Adic Analysis: Essential Ideas and Results
Parabolic-type Equations and Markov Processes
Non-Archimedean Parabolic-type Equations With Variable Coefficients
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3. Conformal Symmetry Breaking Operators for Differential Forms on Spheres
by Toshiyuki Kobayashi, Toshihisa Kubo, Michael Pevzner
出版情報: Singapore : Springer Singapore : Imprint: Springer, 2016
シリーズ名: Lecture Notes in Mathematics ; 2170
オンライン: http://dx.doi.org/10.1007/978-981-10-2657-7
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4. 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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5. Mathematical Models of Viscous Friction
by Paolo Buttà, Guido Cavallaro, Carlo Marchioro
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2015
シリーズ名: Lecture Notes in Mathematics ; 2135
オンライン: http://dx.doi.org/10.1007/978-3-319-14759-8
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1.  Introduction
2. Gas of point particles
3. Vlasov approximation
4. Motion of a body immersed in a Vlasov system
5. Motion of a body immersed in a Stokes fluid
A Infinite Dynamics
1.  Introduction
2. Gas of point particles
3. Vlasov approximation
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6. Nonlinear Optical and Atomic Systems : At the Interface of Physics and Mathematics. 1st ed. 2015
edited by Christophe Besse, Jean-Claude Garreau
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2015
シリーズ名: Lecture Notes in Mathematics ; 2146
オンライン: http://dx.doi.org/10.1007/978-3-319-19015-0
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Sergej Flach: Nonlinear LatticeWaves in Random Potentials
Xavier Antoine and Romain Duboscq: Modeling and computation of Bose-Einstein condensates: stationary states, nucleation, dynamics, stochasticity
Stephan De Bièvre, François Genoud and Simona Rota Nodari: Orbital stability: analysis meets geometry
Fabricio Macià: High-frequency dynamics for the Schrödinger equation, with applications to dispersion and observability
Sergej Flach: Nonlinear LatticeWaves in Random Potentials
Xavier Antoine and Romain Duboscq: Modeling and computation of Bose-Einstein condensates: stationary states, nucleation, dynamics, stochasticity
Stephan De Bièvre, François Genoud and Simona Rota Nodari: Orbital stability: analysis meets geometry
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7. Random Walks, Random Fields, and Disordered Systems. 1st ed. 2015
by Anton Bovier, David Brydges, Amin Coja-Oghlan, Dmitry Ioffe, Gregory F. Lawler ; edited by Marek Biskup, Jiří Černý, Roman Kotecký
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2015
シリーズ名: Lecture Notes in Mathematics ; 2144
オンライン: http://dx.doi.org/10.1007/978-3-319-19339-7
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Anton Bovier: From spin glasses to branching Brownian motion – and back?
David Brydges: The Renormalization Group and Self-AvoidingWalk
Amin Coja-Oghlan: Phase Transitions in Discrete Structures
Dmitry Ioffe: Multidimensional Random Polymers : A Renewal Approach
Gregory F. Lawler and Jacob Perlman: Loop measures and the Gaussian free field
Anton Bovier: From spin glasses to branching Brownian motion – and back?
David Brydges: The Renormalization Group and Self-AvoidingWalk
Amin Coja-Oghlan: Phase Transitions in Discrete Structures
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8. Random Walks on Disordered Media and their Scaling Limits : École d'Été de Probabilités de Saint-Flour XL - 2010
by Takashi Kumagai
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2014
シリーズ名: Lecture Notes in Mathematics ; 2101
オンライン: http://dx.doi.org/10.1007/978-3-319-03152-1
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Introduction
Weighted graphs and the associated Markov chains
Heat kernel estimates – General theory
Heat kernel estimates using effective resistance
Heat kernel estimates for random weighted graphs
Alexander-Orbach conjecture holds when two-point functions behave nicely
Further results for random walk on IIC
Random conductance model
Introduction
Weighted graphs and the associated Markov chains
Heat kernel estimates – General theory
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9. Stochastic Calculus with Infinitesimals
by Frederik Herzberg
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013
シリーズ名: Lecture Notes in Mathematics ; 2067
オンライン: http://dx.doi.org/10.1007/978-3-642-33149-7
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1 Infinitesimal calculus, consistently and accessibly
2 Radically elementary probability theory
3 Radically elementary stochastic integrals
4 The radically elementary Girsanov theorem and the diffusion invariance principle
5 Excursion to nancial economics: A radically elementary approach to the fundamental theorems of asset pricing
6 Excursion to financial engineering: Volatility invariance in the Black-Scholes model
7 A radically elementary theory of Itô diffusions and associated partial differential equations
8 Excursion to mathematical physics: A radically elementary definition of Feynman path integrals
9 A radically elementary theory of Lévy processes
10 Final remarks
1 Infinitesimal calculus, consistently and accessibly
2 Radically elementary probability theory
3 Radically elementary stochastic integrals
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10. Spectral Analysis on Graph-like Spaces
by Olaf Post
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg, 2012
シリーズ名: Lecture Notes in Mathematics ; 2039
オンライン: http://dx.doi.org/10.1007/978-3-642-23840-6
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1 Introduction
2 Graphs and associated Laplacians
3 Scales of Hilbert space and boundary triples
4 Two operators in different Hilbert spaces
5 Manifolds, tubular neighbourhoods and their perturbations
6 Plumber’s shop: Estimates for star graphs and related spaces
7 Global convergence results
1 Introduction
2 Graphs and associated Laplacians
3 Scales of Hilbert space and boundary triples