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1.

電子ブック
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1. Foundations of Grothendieck Duality for Diagrams of Schemes
Joseph Lipman, Mitsuyasu Hashimoto, F. Takens, F. Takens, B. Teissier. edited by J.-M. Morel, B. Teissier
出版情報: SpringerLink Books - AutoHoldings , Springer Berlin Heidelberg, 2009
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Joseph Lipman: Notes on Derived Functors and Grothendieck Duality / Part I：
Abstract
Introduction
Derived and Triangulated Categories / 1：
The Homotopy Category K / 1.1：
The Derived Category D / 1.2：
Mapping Cones / 1.3：
Triangulated Categories (?-Categories) / 1.4：
Triangle-Preserving Functors (?-Functors) / 1.5：
D-Subcategories / 1.6：
Localizing Subcategories of K; ?-Equivalent Categories / 1.7：
Examples / 1.8：
Complexes with Homology in a Plump Subcategory / 1.9：
Truncation Functors / 1.10：
Bounded Functors; Way-Out Lemma / 1.11：
Derived Functors / 2：
Definition of Derived Functors / 2.1：
Existence of Derived Functors / 2.2：
Right-Derived Functors via Injective Resolutions / 2.3：
Derived Homomorphism Functors / 2.4：
Derived Tensor Product / 2.5：
Adjoint Associativity / 2.6：
Acyclic Objects; Finite-Dimensional Derived Functors / 2.7：
Derived Direct and Inverse Image / 3：
Preliminaries / 3.1：
Adjointness of Derived Direct and Inverse Image / 3.2：
?-Adjoint Functors / 3.3：
Adjoint Functors between Monoidal Categories / 3.4：
Adjoint Functors between Closed Categories / 3.5：
Adjoint Monoidal ?-Pseudofunctors / 3.6：
More Formal Consequences: Projection, Base Change / 3.7：
Direct Sums / 3.8：
Concentrated Scheme-Maps / 3.9：
Independent Squares; Kunneth Isomorphism / 3.10：
Abstract Grothendieck Duality for Schemes / 4：
Global Duality / 4.1：
Sheafified Duality-Preliminary Form / 4.2：
Pseudo-Coherence and Quasi-Properness / 4.3：
Sheafified Duality, Base Change / 4.4：
Proof of Duality and Base Change: Outline / 4.5：
Steps in the Proof / 4.6：
Quasi-Perfect Maps / 4.7：
Two Fundamental Theorems / 4.8：
Perfect Maps of Noetherian Schemes / 4.9：
Appendix: Dualizing Complexes / 4.10：
References
Index
Mitsuyasu Hashimoto: Equivariant Twisted Inverses / Part II：
Commutativity of Diagrams Constructed from a Monoidal Pair of Pseudofunctors
Sheaves on Ringed Sites
Derived Categories and Derived Functors of Sheaves on Ringed Sites
Sheaves over a Diagram of S-Schemes
The Left and Right Inductions and the Direct and Inverse Images / 5：
Operations on Sheaves Via the Structure Data / 6：
Quasi-Coherent Sheaves Over a Diagram of Schemes / 7：
Derived Functors of Functors on Sheaves of Modules Over Diagrams of Schemes / 8：
Simplicial Objects / 9：
Descent Theory / 10：
Local Noetherian Property / 11：
Groupoid of Schemes / 12：
Bokstedt-Neeman Resolutions and HyperExt Sheaves / 13：
The Right Adjoint of the Derived Direct Image Functor / 14：
Comparison of Local Ext Sheaves / 15：
The Composition of Two Almost-Pseudofunctors / 16：
The Right Adjoint of the Derived Direct Image Functor of a Morphism of Diagrams / 17：
Commutativity of Twisted Inverse with Restrictions / 18：
Open Immersion Base Change / 19：
The Existence of Compactification and Composition Data for Diagrams of Schemes Over an Ordered Finite Category / 20：
Flat Base Change / 21：
Preservation of Quasi-Coherent Cohomology / 22：
Compatibility with Derived Direct Images / 23：
Compatibility with Derived Right Inductions / 24：
Equivariant Grothendieck's Duality / 25：
Morphisms of Finite Flat Dimension / 26：
Cartesian Finite Morphisms / 27：
Cartesian Regular Embeddings and Cartesian Smooth Morphisms / 28：
Group Schemes Flat of Finite Type / 29：
Compatibility with Derived G-Invariance / 30：
Equivariant Dualizing Complexes and Canonical Modules / 31：
A Generalization of Watanabe's Theorem / 32：
Other Examples of Diagrams of Schemes / 33：
Glossary
Joseph Lipman: Notes on Derived Functors and Grothendieck Duality / Part I：
Abstract
Introduction
2.

電子ブック
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2. Geometric Properties of Banach Spaces and Nonlinear Iterations
Charles Chidume, F. Takens, B. Teissier
出版情報: SpringerLink Books - AutoHoldings , Springer London, 2009
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Best Application Paper: Wireless LAN Load-Balancing with Genetic Algorithms
Recognition of Swallowing Sounds Using Time-Frequency Decomposition and Limited Receptive Area Neural Classifier
Graph-Based Image Classification by Weighting Scheme
Visualisation of Agriculture Data Using Self-Organising Maps
A Machine Learning Application for Classification of Chemical Spectra
PSO based Optimal Design of Induction Motor and its Realisation via SPEED/PC-IMD
Learning to Rank Order G++ a Distance-Based Approach
Executing Medical Guidelines on the Web: Towards Next Generation Healthcare
Using Ontology Search Engines to support Users and Intelligent Systems solving a range of tasks
Information Management for Unmanned Systems: Combining DL-Reasoning with Publish/Subscribe
Conversational Agents in E-Learning
Computer Vision Systems for Manufacturing of Micro Workpieces
Silog: Speech Input Logon
Deploying Embodied AI into Virtual Worlds
An Electronic Tree Inventory for Arboriculture Management
Breast Cancer Diagnosis based on Evolvable Fuzzy Classifiers and Feature Selection
A Hybrid Constraint Programming Approach for Nursing Rostering Problems
Using Evolved Fuzzy Neural Networks for Injury Detection from Isokinetic Curves
An Evolutionary Approach to Simulated Football Free Kick Optimisation
An Application of Artificial Intelligence to the Implementation of Electronic Commerce
Hybrid System for the Inventory of the Cultural Heritage using Voice Interface for Knowledge acquisition
Best Application Paper: Wireless LAN Load-Balancing with Genetic Algorithms
Recognition of Swallowing Sounds Using Time-Frequency Decomposition and Limited Receptive Area Neural Classifier
Graph-Based Image Classification by Weighting Scheme
3.

電子ブック
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3. A Minicourse on Stochastic Partial Differential Equations
Robert Dalang, Robert C. Dalang, Davar Khoshnevisan, Carl Mueller, David Nualart, Firas Rassoul-Agha, F. Takens, Yimin Xiao, F. Takens, B. Teissier, Davar Khoshnevisan, Firas Rassoul-Agha. edited by J. -M. Morel
出版情報: SpringerLink Books - AutoHoldings , Springer Berlin Heidelberg, 2009
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A Primer on Stochastic Partial Differential Equations / Davar Khoshnevisan
What is an SPDE? / 1：
Gaussian Random Vectors / 2：
Gaussian Processes / 3：
Regularity of Random Processes / 4：
Martingale Measures / 5：
A Nonlinear Heat Equation / 6：
From Chaos to Order / 7：
References
The Stochastic Wave Equation / Robert C. Dalang
Introduction
Spatially Homogeneous Gaussian Noise
The Wave Equation in Spatial Dimension 2
A Function-Valued Stochastic Integral
The Wave Equation in Spatial Dimension d >= 1
Spatial Regularity of the Stochastic Integral (d = 3)
Holder-Continuity in the 3-d Wave Equation / 8：
Application of Malliavin Calculus to Stochastic Partial Differential Equations / David Nualart
Malliavin Calculus
Application of Malliavin Calculus to Regularity of Probability Laws
Stochastic Heat Equation
Spatially Homogeneous SPDEs
Some Tools and Results for Parabolic Stochastic Partial Differential Equations / Carl Mueller
Basic Framework
Duality
Large Deviations for SPDEs
A Comparison Theorem
Applications
Sample Path Properties of Anisotropic Gaussian Random Fields / Yimin Xiao
Examples and General Assumptions
Properties of Strong Local Nondeterminism
Modulus of Continuity
Small Ball Probabilities
Hausdorff and Packing Dimensions of the Range and Graph
Hausdorff Dimension of the Level Sets and Hitting Probabilities
Local Times and Their Joint Continuity
List of Participants
Index
A Primer on Stochastic Partial Differential Equations / Davar Khoshnevisan
What is an SPDE? / 1：
Gaussian Random Vectors / 2：
4.

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4. A Nonlinear Transfer Technique for Renorming
Aníbal Moltó, José Orihuela, F. Takens, Stanimir Troyanski, Manuel Valdivia
出版情報: SpringerLink Books - AutoHoldings , Springer Berlin Heidelberg, 2009
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Introduction / 1：
[sigma]-Continuous and Co-[sigma]-continuous Maps / 2：
[sigma]-Continuous and [sigma]-Slicely Continuous Maps / 2.1：
Co-[sigma]-continuous Maps / 2.2：
P-Maps / 2.3：
Co-[sigma]-continuity of Maps Associated to PRI and M-Basis / 2.4：
Co-[sigma]-continuity of the Operator of Haydon in C(r), r a Tree / 2.5：
Co-[sigma]-continuity in Weakly Countable Determined Banach Spaces / 2.6：
Co-[sigma]-continuous Maps in C(K). The Case of the Compact of Helly / 2.7：
Generalized Metric Spaces and Locally Uniformly Rotund Renormings / 3：
Discreteness and Network Conditions / 3.1：
Fragmentability Conditions / 3.2：
LUR Conditions for Pointwise Convergence Topologies / 3.3：
From the Linear to the Nonlinear Transfer Technique / 3.4：
[sigma]-Slicely Continuous Maps / 4：
Examples / 4.1：
Joint [sigma]-Slicely Continuity and Characterization of [sigma]-Slicely Continuous Maps with Values in a Metric Space / 4.2：
Characterization of [sigma]-Slicely Continuous Maps with Values in a LUR Normed Space / 4.3：
Some Applications / 5：
Three Space Property for LUR Renorming / 5.1：
The Weakly Countably Determined Case / 5.2：
Product of [sigma]-Slicely Continuous Maps / 5.3：
Totally Ordered Compacta / 5.4：
Some Open Problems / 6：
More on the Nonlinear Transfer Technique for Renorming / 6.1：
Renormings of C(K) Spaces / 6.2：
Measures of Non Compactness / 6.3：
References
Index
Introduction / 1：
[sigma]-Continuous and Co-[sigma]-continuous Maps / 2：
[sigma]-Continuous and [sigma]-Slicely Continuous Maps / 2.1：
5.

電子ブック
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5. Optimal Transportation Networks
Marc Bernot, Vicent Caselles, Jean M. Morel, Jean-Michel Morel, F. Takens, F. Takens, B. Teissier. edited by J. -M. Morel
出版情報: SpringerLink Books - AutoHoldings , Springer Berlin Heidelberg, 2009
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Introduction: The Models / 1：
The Mathematical Models / 2：
The Monge-Kantorovich Problem / 2.1：
The Gilbert-Steiner Problem / 2.2：
Three Continuous Extensions of the Gilbert-Steiner Problem / 2.3：
Xia's Transport Paths / 2.3.1：
Maddalena-Solimini's Patterns / 2.3.2：
Traffic Plans / 2.3.3：
Questions and Answers / 2.4：
Plan / 2.4.1：
Related Problems and Models / 2.5：
Measures on Sets of Paths / 2.5.1：
Urban Transportation Models with more than One Transportation Means / 2.5.2：
Parameterized Traffic Plans / 3：
Stability Properties of Traffic Plans / 3.2：
Lower Semicontinuity of Length, Stopping Time, Averaged Length and Averaged Stopping Time / 3.2.1：
Multiplicity of a Traffic Plan and its Upper Semicontinuity / 3.2.2：
Sequential Compactness of Traffic Plans / 3.2.3：
Application to the Monge-Kantorovich Problem / 3.3：
Energy of a Traffic Plan and Existence of a Minimizer / 3.4：
The Structure of Optimal Traffic Plans / 4：
Speed Normalization / 4.1：
Loop-Free Traffic Plans / 4.2：
The Generalized Gilbert Energy / 4.3：
Rectifiability of Traffic Plans with Finite Energy / 4.3.1：
Appendix: Measurability Lemmas / 4.4：
Operations on Traffic Plans / 5：
Elementary Operations / 5.1：
Restriction, Domain of a Traffic Plan / 5.1.1：
Sum of Traffic Plans (or Union of their Parameterizations) / 5.1.2：
Mass Normalization / 5.1.3：
Concatenation / 5.2：
Concatenation of Two Traffic Plans / 5.2.1：
Hierarchical Concatenation (Construction of Infinite Irrigating Trees or Patterns) / 5.2.2：
A Priori Properties on Minimizers / 5.3：
An Assumption on [mu superscript +], [mu superscript -] and [pi] Avoiding Fibers with Zero Length / 5.3.1：
A Convex Hull Property / 5.3.2：
Traffic Plans and Distances between Measures / 6：
All Measures can be Irrigated for [alpha] > 1 - 1/N / 6.1：
Stability with Respect to [mu superscript +] and [mu superscript -] / 6.2：
Comparison of Distances between Measures / 6.3：
The Tree Structure of Optimal Traffic Plans and their Approximation / 7：
The Single Path Property / 7.1：
The Tree Property / 7.2：
Decomposition into Trees and Finite Graphs Approximation / 7.3：
Bi-Lipschitz Regularity / 7.4：
Interior and Boundary Regularity / 8：
Connected Components of a Traffic Plan / 8.1：
Cuts and Branching Points of a Traffic Plan / 8.2：
Interior Regularity / 8.3：
The Main Lemma / 8.3.1：
Interior Regularity when [characters not reproducible] / 8.3.2：
Interior Regularity when [mu superscript +] is a Finite Atomic Measure / 8.3.3：
Boundary Regularity / 8.4：
Further Regularity Properties / 8.4.1：
The Equivalence of Various Models / 9：
Irrigating Finite Atomic Measures (Gilbert-Steiner) and Traffic Plans / 9.1：
Patterns (Maddalena et al.) and Traffic Plans / 9.2：
Transport Paths (Qinglan Xia) and Traffic Plans / 9.3：
Optimal Transportation Networks as Flat Chains / 9.4：
Irrigability and Dimension / 10：
Several Concepts of Dimension of a Measure and Irrigability Results / 10.1：
Lower Bound on d([mu]) / 10.2：
Upper Bound on d([mu]) / 10.3：
Remarks and Examples / 10.4：
The Landscape of an Optimal Pattern / 11：
Introduction / 11.1：
Landscape Equilibrium and OCNs in Geophysics / 11.1.1：
A General Development Formula / 11.2：
Existence of the Landscape Function and Applications / 11.3：
Well-Definedness of the Landscape Function / 11.3.1：
Variational Applications / 11.3.2：
Properties of the Landscape Function / 11.4：
Semicontinuity / 11.4.1：
Maximal Slope in the Network Direction / 11.4.2：
Holder Continuity under Extra Assumptions / 11.5：
Campanato Spaces by Medians / 11.5.1：
Holder Continuity of the Landscape Function / 11.5.2：
Optimum Irrigation from One Source to Two Sinks / 12：
Optimal Shape of a Traffic Plan with given Dyadic Topology / 12.2：
Topology of a Graph / 12.2.1：
A Recursive Construction of an Optimum with Full Steiner Topology / 12.2.2：
Number of Branches at a Bifurcation / 12.3：
Dirac to Lebesgue Segment: A Case Study / 13：
Analytical Results / 13.1：
The Case of a Source Aligned with the Segment / 13.1.1：
A "T Structure" is not Optimal / 13.2：
The Boundary Behavior of an Optimal Solution / 13.3：
Can Fibers Move along the Segment in the Optimal Structure? / 13.4：
Numerical Results / 13.5：
Coding of the Topology / 13.5.1：
Exhaustive Search / 13.5.2：
Heuristics for Topology Optimization / 13.6：
Multiscale Method / 13.6.1：
Optimality of Subtrees / 13.6.2：
Perturbation of the Topology / 13.6.3：
Application: Embedded Irrigation Networks / 14：
Irrigation Networks made of Tubes / 14.1：
Anticipating some Conclusions / 14.1.1：
Getting Back to the Gilbert Functional / 14.2：
A Consequence of the Space-filling Condition / 14.3：
Source to Volume Transfer Energy / 14.4：
Final Remarks / 14.5：
Open Problems / 15：
Stability / 15.1：
Regularity / 15.2：
The who goes where Problem / 15.3：
Dirac to Lebesgue Segment / 15.4：
Algorithm or Construction of Local Optima / 15.5：
Structure / 15.6：
Scaling Laws / 15.7：
Local Optimality in the Case of Non Irrigability / 15.8：
Skorokhod Theorem / A：
Flows in Tubes / B：
Poiseuille's Law / B.1：
Optimality of the Circular Section / B.2：
Notations / C：
References
Index
Introduction: The Models / 1：
The Mathematical Models / 2：
The Monge-Kantorovich Problem / 2.1：
6.

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ＥＢ
6. Harmonic Analysis on Spaces of Homogeneous Type
Donggao Deng, Yongsheng Han, F. Takens, Yves Meyer
出版情報: SpringerLink Books - AutoHoldings , Springer Berlin Heidelberg, 2009
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Introduction
Calderon-Zygmund Operator on Space of Homogeneous Type / 1：
Definition of Calderon-Zygmund Operators on Spaces of Homogeneous Type / 1.1：
Littlewood-Paley Analysis on Spaces of Homogeneous Type / 1.3：
The T1 Theorem on Spaces of Homogeneous Type / 1.4：
The Boundedness of Calderon-Zygmund Operators on Wavelet Spaces / 2：
Wavelet Expansions on Spaces of Homogeneous Type / 3：
The Theory of Frames / 3.1：
Approximation to the Identity and Basic Estimates / 3.3：
Calderon's Identity on Spaces of Homogeneous Type / 3.4：
Wavelets and Spaces of Functions and Distributions / 3.5：
Comparison Properties of Wavelet Coefficients / 4.1：
Holder Spaces / 4.3：
Lebesgue and Generalized Sobolev Spaces / 4.4：
Wavelets, the Hardy and BMO Spaces / 4.5：
Besov Spaces on Spaces of Homogeneous Type / 4.6：
The T1 Type Theorems / 4.7：
Littlewood-Paley Analysis on Non Homogeneous Spaces / 5：
Littlewood-Paley Theory on Non Homogeneous Spaces / 5.1：
The T1 Theorem on Non Homogeneous Spaces / 5.3：
The Besov Space on Non Homogeneous Spaces / 5.4：
References
Index
Introduction
Calderon-Zygmund Operator on Space of Homogeneous Type / 1：
Definition of Calderon-Zygmund Operators on Spaces of Homogeneous Type / 1.1：
7.

電子ブック
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7. Lower Central and Dimension Series of Groups
Roman Mikhailov, Inder Bir S. Passi, Inder Bir Singh Passi, F. Takens, F. Takens, B. Teissier. edited by J. -M. Morel, B. Teissier
出版情報: SpringerLink Books - AutoHoldings , Springer Berlin Heidelberg, 2009
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Lower Central Series / 1：
Commutator Calculus / 1.1：
Residually Nilpotent Groups / 1.2：
Generalized Relation Modules / 1.3：
k-central Extensions / 1.4：
Nilpotent Completion / 1.5：
Bousfield-Kan Completion / 1.6：
Homological Localization / 1.7：
Crossed Modules and Cat[superscript 1]-Groups / 1.8：
Dimension Subgroups / 2：
Groups Without Dimension Property / 2.1：
Sjogren's Theorem / 2.2：
Fourth Dimension Subgroup / 2.3：
Fifth Dimension Subgroup / 2.4：
Quasi-varieties of Groups / 2.5：
The Quasi-variety D[subscript 4] / 2.6：
Dimension Quotients / 2.7：
Plotkin's Problems / 2.8：
Modular Dimension Subgroups / 2.9：
Lie Dimension Subgroups / 2.10：
Lie Nilpotency Indices / 2.11：
Subgroups Dual to Dimension Subgroups / 2.12：
Derived Series / 3：
Commutator Subgroups of Free Nilpotent Groups / 3.1：
E and D-groups / 3.2：
Transfinite Derived Series / 3.3：
Applications to Asphericity / 3.4：
Augmentation Powers / 4：
Augmentation Identities / 4.1：
Integral Augmentation Powers / 4.2：
Intersection Theorems / 4.3：
Transfinite Augmentation Powers / 4.4：
Schur Multiplicator / 4.5：
Relative Dimension Subgroups / 4.6：
A Characterization of Para-free Groups / 4.7：
[tau]-para-free Groups / 4.8：
Homological Localization of Z[G]-modules / 4.9：
Homotopical Aspects / 5：
The Associated Graded Ring of a Group Ring / 5.1：
Spectral Sequences / 5.2：
Applications to Dimension Subgroups / 5.3：
Homotopical Applications / 5.4：
Computations and Connectivity Results / 5.5：
Miscellanea / 6：
Power-closed Groups / 6.1：
Braid Groups / 6.2：
3-dimensional Surgery / 6.3：
Vanishing Sums of Roots of Unity / 6.4：
Fundamental Groups of Projective Curves / 6.5：
Simplicial Methods / A：
Chain Complexes / A.1：
Simplicial Objects / A.2：
Geometric Realization Functor / A.3：
Skeleton and Coskeleton Functors / A.4：
Moore Complex and Homotopy Groups / A.5：
Dold-Kan Correspondence / A.6：
Eilenberg-Zilber Equivalence / A.7：
Classifying Functor W and Homology / A.8：
Bisimplicial Groups / A.9：
Certain Simplicial Constructions / A.10：
Free Simplicial Resolutions / A.11：
Functorial Properties / A.12：
Derived Functors / A.13：
Quadratic Functors / A.14：
Derived Functors in the Sense of Dold and Puppe / A.15：
Derived Limits and Fibration Sequence / A.16：
References
Index
Lower Central Series / 1：
Commutator Calculus / 1.1：
Residually Nilpotent Groups / 1.2：
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