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1.

電子ブック

EB
edited by Ken'ichi Ohshika, Athanase Papadopoulos
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2020
オンライン: https://doi.org/10.1007/978-3-030-55928-1
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Preface. (Ken'ichi Ohshika and Athanase Papadopoulos)
Introduction. (Ken'ichi Ohshika and Athanase Papadopoulos)
Chapter 1: A glimpse into Thurston's work. (Ken'ichi Ohshika and Athanase Papadopoulos)
Chapter 2: Thurston's influence on Japanese topologists up to the 1980s. (Ken'ichi Ohshika)
Chapter 3: A survey of the impact of Thurston's work on Knot Theory. (Makoto Sakuma)
Chapter 4: Thurston's theory of 3-manifolds. (Sadayoshi Kojima)
Chapter 5: Combinatorics encoding geometry: The legacy of Bill Thurston in the story of one theorem. (Philip Bowers)
Chapter 6: On Thurston's parameterization of CP1-structures. (Shinpei Baba)
Chapter 7: A short proof of an assertion of Thurston concerning convex hulls. (Graham Smith)
Chapter 8: The double limit theorem and its legacy. (Cyril Lecuire)
Chapter 9: Geometry and topology of geometric limits. I. (Ken'ichi Ohshika and Teruhiko Soma)
Chapter 10: Laminar groups and 3-manifolds. (Hyungryul Baik and KyeongRo Kim)
Chapter 11: Length functions on currents and applications to dynamics and counting. (Viveka Erlandsson and Caglar Uyanik)
Chapter 12: Big mapping class groups: an overview. (Javier Aramayona and Nicholas Vlamis)
Chapter 13: Teichmuller theory, Thurston theory, Extremal length geometry and Complex analysis. (Hideki Miyachi)
Chapter 14: Signatures of monic polynomials. (Norbert A'Campo)
Chapter 15: Anti-de Sitter geometry and Teichmuller theory. (Francesco Bonsante and Andrea Seppi)
Chapter 16: Quasi-Fuchsian co-Minkowski manifolds. (Thierry Barbot and Francois Fillastre)
Preface. (Ken'ichi Ohshika and Athanase Papadopoulos)
Introduction. (Ken'ichi Ohshika and Athanase Papadopoulos)
Chapter 1: A glimpse into Thurston's work. (Ken'ichi Ohshika and Athanase Papadopoulos)
2.

電子ブック

EB
by Mahendra Nadkarni
出版情報: Singapore : Springer Singapore : Imprint: Springer, 2020
シリーズ名: Texts and Readings in Mathematics ; 15
オンライン: https://doi.org/10.1007/978-981-15-6225-9
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The Hahn-Hellinger Theorem
The Spectral Theorem for Unitary Operators
Symmetry and Denseness of the Spectrum
Multiplicity and Rank
The Skew Product
A Theorem of Helson and Parry
Probability Measures on the Circle Group
Baire Category Theorems of Ergodic Theory
Translations of Measures on the Circle
B. Host's Theorem
L∞ Eigenvalues of Non-Singular Automorphisms
Generalities on Systems of Imprimitivity
Dual Systems of Imprimitivity
Saturated Subgroups of the Circle Group
Riesz Products As Spectral Measures
Additional Topics
Calculus of Generalized Riesz Products
The Hahn-Hellinger Theorem
The Spectral Theorem for Unitary Operators
Symmetry and Denseness of the Spectrum
3.

電子ブック

EB
edited by José Luis Cisneros Molina, Dũng Tráng Lê, José Seade
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2020
オンライン: https://doi.org/10.1007/978-3-030-53061-7
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Foreword
Preface
1 The Combinatorics of Plane Curve Singularities
2 The Topology of Surface Singularities
3 Resolution of Singularities: an Introduction
4 Stratification Theory
5 Morse Theory, Stratification and Sheaves
6 The Topology of the Milnor Fibration
7 Deformation and Smoothing of Singularities
8 Distinguished Bases and Monodromy of Complex Hypersurface Singularities
9 The Lefschetz Theorem for Hyperplane Sections
10 Finite Dimensional Lie Algebras in Singularities. -Index
Foreword
Preface
1 The Combinatorics of Plane Curve Singularities
4.

電子ブック

EB
by Ulrich Oberst, Martin Scheicher, Ingrid Scheicher
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2020
シリーズ名: Differential-Algebraic Equations Forum ;
オンライン: https://doi.org/10.1007/978-3-030-43936-1
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1. A Survey of the Book's Content
2. The Language and Fundamental Properties of Behaviors
3. Observability, Autonomy and Controllability of Behaviors
4. Applications of the Chinese Remainder Theorem
5. Input/ Output Behaviors
6. Interconnections of Input/ Output Behaviors
7. The Transfer Matrix as Operator or Input/ Output Map
8. Stability via Quotient Modules
9. Compensators
10. Observers
11. Canonical State Space Realizations
12. Generalized Fractional Calculus
1. A Survey of the Book's Content
2. The Language and Fundamental Properties of Behaviors
3. Observability, Autonomy and Controllability of Behaviors
5.

電子ブック

EB
edited by Bahar Acu, Donatella Danielli, Marta Lewicka, Arati Pati, Saraswathy RV, Miranda Teboh-Ewungkem
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2020
シリーズ名: Association for Women in Mathematics Series ; 21
オンライン: https://doi.org/10.1007/978-3-030-42687-3
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Preface
I. From the Plenary Talks
Finite element methods for elliptic distributed optimal control problems with pointwise state constraints (S.C. Brenner)
II. Algebraic Combinatorics and Graph Theory
Some q-exponential formulas involving the double lowering operator ψ for a tridiagonal pair (S. Bockting-Conrad)
Distance graphs generated by five primes (D.D-F. Liu, G. Robinson, A. Chavez)
Combinatorial characterization of queer supercrystals (M. Gillespie, G. Hawkes, W. Poh, A. Schilling)
(Tenner)
III. Algebraic Biology
From chaos to permanence using control theory (S. Koshy-Chenthittayil, E. Dimitrova)
Classification on large networks (A. Haupt, T. Schultz, M. Kharami, N. Tran)
Gröbner bases of convex neural code ideals (K. Phillipson, E.S. Dimitrova, M. Honecker, J. Hu, Q. Liang)
Gröbner bases of convex neural code ideals (B. Stigler, A. Zhang)
IV. Commutative Algebra
Depth of powers of squarefree monomial ideals (L. Fouli, H.T. Hà, S. Morey)
A note on the uniqueness of zero-divisor graphs with loops (A. Li, R. Miller, R.P. Tucci)
Some combinatorial cases of the three matrix analog of Gerstenhaber’s theorem (J. Rajchgot, M. Satriano, W. Shen)
Structure of semigroup rings (H. Srinivasan)
Using Monte Carlo particle methods to estimate and quantify uncertainty in periodic parameters (A. Arnold)
A note on singularity formation for nonlocal transport equation (V. Hoang, M. Radosz)
Prescribing initial values for the sticky particle system (R. Hynd)
Towards directed collapsibility (R. Belton, R. Brooks, S. Ebli, L. Fajstrup, B.T. Fasy, C. Ray, N. Sanderson, E. Vidaurre)
Contact Open Books and Sympectic Lefschetz Fibrations (B. Acu)
A robust preconditioner for high-contrast problems (Y. Gorb, D. Kurzanova, Y. Kuznetsov)
On the dimension reduction in prestrained elasticity (S. Jimezes Bolanos)
Machine learning in crowd flow exit data (F.P. Medina)
The matter of shape (M. Ozkar)
Being research-based and research-minded in helping K-12 mathematics education (A. Ekmekci, A. Papakonstantinou)
The Rice University school mathematics project (A. Papakonstantinou, A. Ekmekci)
Preface
I. From the Plenary Talks
Finite element methods for elliptic distributed optimal control problems with pointwise state constraints (S.C. Brenner)
6.

電子ブック

EB
by Robert Penner
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2020
シリーズ名: History of Mathematics Subseries ; 2262
オンライン: https://doi.org/10.1007/978-3-030-43996-5
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Foreword
Lecture 1
Lecture 2
Lecture 3
Lecture 4
Lecture 5
Lecture 6
Lecture 7
Lecture 8
Lecture 9
Lecture 10
Lecture 11
Lecture 12
Lecture 13
Lecture 14
Lecture 15
Lecture 16
Lecture 17
Lecture 18
Lecture 19
Lecture 20
Lecture 21
Lecture 22
Lecture 23
Lecture 24
Lecture 25
Lecture 26
Lecture 27
Lecture 28
Lecture 29
Lecture 30
Lecture 31
Lecture 32
Lecture 33
Lecture 34
Lecture 35
Lecture 36
Lecture 37
Lecture 38
Afterword by Mikhail Kapranov
References
Index
Foreword
Lecture 1
Lecture 2
7.

電子ブック

EB
by Jun Kigami
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2020
シリーズ名: Lecture Notes in Mathematics ; 2265
オンライン: https://doi.org/10.1007/978-3-030-54154-5
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8.

電子ブック

EB
by Sergio Macías
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2021
シリーズ名: Developments in Mathematics ; 67
オンライン: https://doi.org/10.1007/978-3-030-65081-0
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Preliminaries
The Set Function T
Decomposition Theorems
T-Closed Sets
Continuity of T
Images of T
Applications
Questions
References
Index
Preliminaries
The Set Function T
Decomposition Theorems
9.

電子ブック

EB
edited by Yeol Je Cho, Mohamed Jleli, Mohammad Mursaleen, Bessem Samet, Calogero Vetro
出版情報: Singapore : Springer Nature Singapore : Imprint: Springer, 2021
オンライン: https://doi.org/10.1007/978-981-33-6647-3
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The relevance of a metric condition on a pair of operators in common fixed point theory
Some Convergence Results of the K∗ Iteration Process in CAT(0) Spaces
Split variational inclusion problem and fixed point problem for asymptotically nonexpansive semigroup with application to optimization problem
Convergence theorems and convergence rates for the general inertial Krasnosel’skiˇ–Mann algorithm
Digital space type fixed point theory and its applications
Existence and Approximations for Order-Preserving Nonexpansive Semigroups over CAT(κ) Spaces
Solution of system of integral equations in product spaces via concept of measures of noncompactness
Fixed points that are zeros of a given function
A survey on best proximity point theory in reflexive and Busemann convex spaces
The relevance of a metric condition on a pair of operators in common fixed point theory
Some Convergence Results of the K∗ Iteration Process in CAT(0) Spaces
Split variational inclusion problem and fixed point problem for asymptotically nonexpansive semigroup with application to optimization problem
10.

電子ブック

EB
edited by Ingrid Hotz, Talha Bin Masood, Filip Sadlo, Julien Tierny
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2021
シリーズ名: Mathematics and Visualization ;
オンライン: https://doi.org/10.1007/978-3-030-83500-2
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Scalar Field Topology–Algorithms and Applications
W-Structures in Contour Trees
Treemap Based Exploration of Merge Trees
Notes on Percolation Analysis of Sampled Scalar Fields
Distributed Task-Parallel Topology-Controlled Volume Rendering
Topology-Based Tracking of Multi-Center Cyclones
Using Contour Trees in the Analysis and Visualization of Radio Astronomy Data Cubes
Topological Methods in Complex Fields–Flow Fields, Tensor Fields, and Multi-fields
Objective Finite-Time Flow Topology from Flowmap Expansion and Contraction
Coreline Criteria for Inertial Particle Motion
Implicit Visualization of 2D Vector Field Topology for Periodic Orbit Detection
Visually Evaluating Topological Equivalence of Bounded Bivariate Fields
Topological Feature Search in Time-Varying Multifield Data
Tensor Fields for Data Extraction from Chart Images: Bar Charts, Histograms, and Scatter Plots
Topology for Geometric Data
A Fast Approximate Skeleton with Guarantees for Any Cloud of Points in a Euclidean Space
Topologically Robust B-Spline Reconstruction of Fibers from 3D Images
Introduction to Vector Field Topology
An Overview of the Topology ToolKit
Implementing Persistence-Based Clustering of Point Clouds in the Topology ToolKit
TopoInVis TTK Hackathon: Experiences, Lessons Learned, and Perspectives
Scalar Field Topology–Algorithms and Applications
W-Structures in Contour Trees
Treemap Based Exploration of Merge Trees