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1.

図書

図書
édité par M. Demazure, H. Pinkham et B. Teissier
出版情報: Berlin ; New York : Springer-Verlag, 1980  vii, 339 p. ; 25 cm
シリーズ名: Lecture notes in mathematics ; 777
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2.

図書

図書
Oscar Zariski ; edited by J. Lipman and B. Teissier
出版情報: Cambridge, Mass. : MIT Press, 1979  xxvi, 651 p. ; 26 cm
シリーズ名: Mathematicians of our time ; 16 . Collected papers / Oscar Zariski ; v. 4
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3.

電子ブック

EB
Sigurd Assing, Wolfgang Schmidt, A. Dold, Wolfgang M. Schmidt, F. Takens, Bernard Teissier
出版情報: SpringerLink Books - AutoHoldings , Springer Berlin Heidelberg, 1998
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4.

電子ブック

EB
Richard M. Dudley, R. Norvaisa, Rimas Norvaisa, J. Qian, F. Takens, Bernard Teissier
出版情報: SpringerLink Books - AutoHoldings , Springer Berlin Heidelberg, 1999
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目次情報: 続きを見る
Preface
A survey on differentiability of six operators in relation to probability and statistics / Part I:
Contents of Part I
Introduction; kinds of differentiability / 1:
The two-function composition operator (F,G) &prompto; F&rbull;G / 2:
The quantile (inverse) operator / 3:
The integration operator and Young integrals / 4:
The product integral / 5:
Probability and p-vaxiation / 6:
General and C-differentiability / 7:
The chain rule and concluding remarks / 8:
Appendices
References
Product integrals, Young integrals and p-variation / Part II:
Abstract
Contents of Part II
Introduction
p-variation
Stieltjes and Young integrals
Product integrals
Indefinite product integrals
The logarithm operator
Differentiability of the composition and inverse operators for regulated and a.e. continuous functions / Part III:
Contents of Part III
Regulated functions
Almost everywhere continuous functions
The quantile operator
The composition operator for real-valued functions
The composition operator for Banach-valued functions
Appendix
Bibliographies on p-variation and φ-variation / R. M. Dudley ; R. Norvai&sbreve;a ; Jinghua QianPart IV:
Contents of Part IV
Bibliography on p-variation
Bibliography on φ-variation
Subject Index
Author Index
Preface
A survey on differentiability of six operators in relation to probability and statistics / Part I:
Contents of Part I
5.

電子ブック

EB
Igor Nikolaev, A. Dold, F. Takens, Bernard Teissier, Evgeny Zhuzhoma
出版情報: SpringerLink Books - AutoHoldings , Springer Berlin Heidelberg, 1999
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目次情報: 続きを見る
Definitions and examples / 1:
Preliminaries / 1.1:
Basic constructions / 1.2:
The projection method / 1.2.1:
The universal covering method / 1.2.2:
The suspension method / 1.2.3:
Whitney theorem / 1.2.4:
Connected sum of flows / 1.2.5:
The branch covering method / 1.2.6:
Basic examples / 1.3:
Gradient and Morse-Smale flows / 1.3.1:
Transitive flows / 1.3.2:
Flows with Cantor type limit sets / 1.3.3:
Area preserving and Hamiltonian flows / 1.3.4:
Harmonic and geodesic vector fields / 1.3.5:
Poincare-Bendixson's theory / 2:
Existence of closed transversal / 2.1:
Absence of non-trivial recurrent trajectories on some surfaces / 2.2:
Hilmy's and Cherry's theorems on quasiminimal sets / 2.3:
Maier's theorems on quasiminimal sets / 2.4:
Gutierrez's structure theorem / 2.5:
Limit set of individual trajectory / 2.6:
List of limit and minimal sets / 2.6.1:
Results of Solntzev and Vinograd / 2.6.2:
On the existence of minimal sets / 2.6.3:
Decomposition of flows / 3:
Decomposition theorems / 3.1:
Irreducible flows on torus / 3.1.1:
Canonical neighborhood / 3.1.2:
Gardiner - Levitt's decomposition / 3.1.3:
Pants decomposition / 3.1.4:
Decomposition of area preserving and Hamiltonian flows / 3.1.5:
Center of flow / 3.2:
Blowing-down of flows / 3.3:
Regular flows / 3.4:
Singular trajectories / 3.4.1:
Cells / 3.4.2:
Application: smoothing of flows / 3.5:
Local theory / 4:
Topological normal forms / 4.1:
Analytical normal forms / 4.2:
Smooth normal forms / 4.3:
Finitely smooth normal forms / 4.4:
Degenerate critical points / 4.5:
C1 normal forms of degenerate singularities / 4.6:
Space of flows and vector fields / 5:
Structural stability / 5.1:
Peixoto's graphs. Classification of Morse-Smale flows / 5.2:
Rotation systems / 5.2.1:
Peixoto theorems / 5.2.2:
Peixoto's counterexample revisited / 5.2.3:
Lyapunov's method / 5.3:
Lyapunov functions / 5.3.1:
Lyapunov graphs / 5.3.2:
Connected components of Morse-Smale flows / 5.4:
Degrees of non-stability / 5.5:
Typical properties of non-stable flows / 5.6:
Ergodic theory / 6:
Liouville's theorem / 6.1:
Kolmogorov's theorem for flows on torus / 6.2:
Non-trivial invariant measures / 6.3:
Ergodicity / 6.4:
Mixing / 6.5:
Entropy / 6.6:
Invariants of surface flows / 7:
Topological classification of torus flows / 7.1:
Rotation numbers / 7.1.1:
Classification of minimal flows / 7.1.2:
Classification of the Denjoy flows / 7.1.3:
Classification of flows of the Cherry type / 7.1.4:
Oriented surfaces of genus ≥ 2 / 7.2:
Aranson-Grines homotopy rotation class / 7.2.1:
Homotopy rotation orbit / 7.2.2:
Equivalence of irrational flows / 7.2.3:
Properties of the homotopy rotation classes / 7.2.4:
Application of geodesic laminations / 7.3:
Transitive flows on non-orientable surfaces / 7.4:
Torus with a cross-cup / 7.4.1:
Non-orientable surfaces of genus ≥ 4 / 7.4.2:
Classification of exceptional minimal sets / 7.5:
Classification of the regular flows / 7.6:
Leontovich-Maier's theorem for sphere flows / 7.6.1:
Neumann-O'Brien's orbit complex / 7.6.2:
Bolsinov-Fomenko's classification of Hamiltonian flows / 7.6.3:
Classification of non-wandering flows / 7.7:
Elementary cells of non-wandering flows / 7.7.1:
Conley-Lyapunov-Peixoto graphs / 7.7.2:
Equivalence Problem / 7.7.3:
Realization Problem / 7.7.4:
Cayley graph of a flow / 7.8:
Finite groups and Cayley graphs / 7.8.1:
Isomorphism Problem / 7.8.2:
Homology and cohomology invariants / 7.8.3:
Asymptotic cycles / 7.9.1:
Fundamental class of A. Katok / 7.9.2:
Zorich's cycles / 7.9.3:
Rotation sets of surface flows / 7.10:
Smooth classification of flows / 7.11:
Torus and Klein bottle / 7.11.1:
Closed orientable surfaces of genus ≥ 2 / 7.11.2:
C*-algebras of surface flows / 8:
Irrational rotation algebra / 8.1:
Dimension groups / 8.1.1:
Continued fractions / 8.1.2:
Effros-Shen's Theorem / 8.1.3:
Embedding of Aα / 8.1.4:
Projections of Aα / 8.1.5:
Morita Equivalence / 8.1.6:
Artin's rotation algebra / 8.2:
Myrberg's Approximationssatz / 8.2.1:
Artin's numbers / 8.2.2:
K-theory / 8.3:
Torus with Reeb's components / 8.3.1:
Baum-Connes Conjecture / 8.3.2:
C*-algebras of Morse-Smale flows / 8.4:
Semi-local theory / 9:
Denjoy's and Schwarz's theorems / 9.1:
Cherry's problem / 9.2:
Local structure preventing quasiminimality / 9.3:
Anosov-Weil problem / 10:
Theorems of Weil and Anosov / 10.1:
Asymptotic directions / 10.1.1:
Weil's theorem and Weil's conjecture / 10.1.2:
Anosov's theorem / 10.1.3:
Proof of Weil's conjecture and Weil's theorem / 10.1.4:
Asymptotic direction of individual curves / 10.2:
Non-trivial recurrent semi-trajectories / 10.2.1:
Trajectories of analytic flows / 10.2.2:
Leaves of foliation / 10.2.3:
Curves with restriction on the geodesic curvature / 10.2.4:
Approximation of curve by trajectories of a flow / 10.3:
Limit sets of curves and trajectories at the absolute / 10.4:
Deviation of curves from the geodesies / 10.5:
The deviation property of trajectories / 10.5.1:
Deviation from the geodesic frameworks / 10.5.2:
Branched coverings / 10.5.3:
Swing of trajectories near hyperbolic lines / 10.5.4:
Examples of unbounded deviation / 10.6:
Surfaces of genus ≥ 2 / 10.6.1:
Irrational direction on torus / 10.6.2:
Rational direction on torus / 10.6.3:
Non-compact surfaces / 11:
Kaplan's classification / 11.1:
Level curves of harmonic functions / 11.2:
Markus's classification / 11.3:
Neumann's example / 11.4:
Inaba's example and Beniere-Meigniez's theorem / 11.6:
Beniere-Hector's theorem / 11.7:
Aranson-Zhuzhoma's example / 11.8:
Triptych / 12:
Geodesic frameworks revisited / 12.1:
On continuity and collapse of geodesic frameworks / 12.2:
Cr-closing lemma / 12.3:
Definitions and examples / 1:
Preliminaries / 1.1:
Basic constructions / 1.2:
6.

電子ブック

EB
Lars Winther Christensen, A. Dold, F. Takens, Bernard Teissier
出版情報: SpringerLink Books - AutoHoldings , Springer Berlin Heidelberg, 2000
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7.

電子ブック

EB
A. Dold, Bernard Teissier
出版情報: SpringerLink Books - AutoHoldings , Springer Berlin Heidelberg, 1967
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8.

電子ブック

EB
Michel Demazure, Michel Demazure, Henry Pinkham, Bernard Teissier, Ecole polytechnique (France)., H. Pinkham, B. Teissier
出版情報: SpringerLink Books - AutoHoldings , Springer Berlin Heidelberg, 1980
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9.

電子ブック

EB
Atsushi Inoue, F. Takens, Bernard Teissier
出版情報: SpringerLink Books - AutoHoldings , Springer Berlin Heidelberg, 1998
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10.

電子ブック

EB
Sergei Yurievitch Pilyugin, A. Dold, F. Takens, Bernard Teissier
出版情報: SpringerLink Books - AutoHoldings , Springer Berlin Heidelberg, 1999
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