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1.

図書

図書
Nguyen Dinh Cong
出版情報: Oxford : Clarendon Press , New York : Oxford University Press, 1997  viii, 203 p. ; 25 cm
シリーズ名: Oxford mathematical monographs
Oxford science publications
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2.

図書

図書
Karl-Georg Schlesinger
出版情報: Harlow, Essex, England : Longman, 1997  116 p. ; 25 cm
シリーズ名: Pitman research notes in mathematics series ; 372
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3.

図書

図書
Yakov B. Pesin
出版情報: Chicago, Ill. : University of Chicago Press, c1997  xi, 304 p. ; 23 cm
シリーズ名: Chicago lectures in mathematics
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目次情報: 続きを見る
Preface
Introduction
Carathéodory Dimension Characteristics / Part I:
General Carathéodory Construction / Chapter 1:
Carathéodory Dimension of Sets / 1:
Carathéodory Capacity of Sets / 2:
Carathéodory Dimension and Capacity of Measures / 3:
Coincidence of Carathéodory Dimension and Carathéodory Capacity of Measures / 4:
Lower and Upper Bounds for Carathéodory Dimension of Sets; Carathéodory Dimension Spectrum / 5:
C-Structures Associated with Metrics: Hausdorff Dimension and Box Dimension / Chapter 2:
Hausdorff Dimension and Box Dimension of Sets / 6:
Hausdorff Dimension and Box Dimension of Measures; Pointwise Dimension; Mass Distribution Principle / 7:
C-Structures Associated with Metrics and Measures: Dimension Spectra / Chapter 3:
q-Dimension and q-Box Dimension of Sets / 8:
q-Dimension and q-Box Dimension of Measures / 9:
Hausdorff (Box) Dimension and Q-(Box) Dimension of Sets and Measures in General Metric Spaces / Appendix I:
C-Structures Associated with Dynamical Systems: Thermodynamic Formalism / Chapter 4:
A Modification of the General Carathéodory Construction / 10:
Dimensional Definition of Topological Pressure; Topological and Measure-Theoretic Entropies / 11:
Non-additive Thermodynamic Formalism / 12:
Variational Principle for Topological Pressure; Symbolic Dynamical Systems; Bowen's Equation / Appendix II:
An Example of Carathéodory Structure Generated by Dynamical Systems / Appendix III:
Applications to Dimension Theory and Dynamical Systems / Part II:
Dimension of Cantor-like Sets and Symbolic Dynamics / Chapter 5:
Moran-like Geometric Constructions with Stationary (Constant) Ratio Coefficients / 13:
Regular Geometric Constructions / 14:
Moran-like Geometric Constructions with Non-stationary Ratio Coefficients / 15:
Geometric Constructions with Rectangles; Non-coincidence of Box Dimension and Hausdorff Dimension of Sets / 16:
Multifractal Formalism / Chapter 6:
Correlation Dimension / 17:
Dimension Spectra: Hentschel-Procaccia, Rényi, and f(alpha)-Spectra; Information Dimension / 18:
Multifractal Analysis of Gibbs Measures on Limit Sets of Geometric Constructions / 19:
Dimension of Sets and Measures Invariant under Hyperbolic Systems / Chapter 7:
Hausdorff Dimension and Box Dimension of Conformal Repellers for Smooth Expanding Maps / 20:
Multifractal Analysis of Gibbs Measures for Smooth Conformal Expanding Maps / 21:
Hausdorff Dimension and Box Dimension of Basic Sets for Axiom A Diffeomrophisms / 22:
Hausdorff Dimension of Horseshoes and Solenoids / 23:
Multifractal Analysis of Equilibrium Measures on Basic Sets of Axiom A Diffeomorphisms / 24:
A General Concept of Multifractal Spectra; Multifractal Rigidity / Appendix IV:
Relations between Dimension, Entropy, and Lyapunov Exponents / Chapter 8:
Existence and Non-existence of Pointwise Dimension for Invariant Measures / 25:
Dimension of Measures with Non-zero Lyapunov Exponents; The Eckmann-Ruelle Conjecture / 26:
Some Useful Facts / Appendix V:
Bibliography
Index
Preface
Introduction
Carathéodory Dimension Characteristics / Part I:
4.

図書

図書
edited by Silvio Levy
出版情報: Cambridge : Cambridge University Press, 1997  ix, 194 p. ; 25 cm
シリーズ名: Mathematical Sciences Research Institute publications ; 31
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5.

図書

図書
Richard E. Williamson
出版情報: New York : McGraw-Hill, c1997  xiii, 690 p. ; 27 cm
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6.

図書

図書
Michael Blank
出版情報: Providence, R.I. : American Mathematical Society, c1997  xiii, 161 p. ; 26 cm
シリーズ名: Translations of mathematical monographs ; v. 161
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目次情報: 続きを見る
Introduction
Operator approach in chaotic dynamics / Chapter 1:
Random perturbations of dynamical systems / Chapter 2:
Weakly coupled dynamical systems / Chapter 3:
Phase space discretization in dyanmical systems / Chapter 4:
Ergodic properties of some methods for numerical modeling of chaotic dynamics / Chapter 5:
References / Chapter 6:
Index
Introduction
Operator approach in chaotic dynamics / Chapter 1:
Random perturbations of dynamical systems / Chapter 2:
7.

図書

図書
Igor V. Novozhilov
出版情報: Boston : Birkhäuser, 1997  x, 231 p. ; 25 cm
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8.

図書

図書
by S.T. Zavalishchin and A.N. Sesekin
出版情報: Dordrecht : Kluwer Academic, c1997  xi, 256 p. ; 25 cm
シリーズ名: Mathematics and its applications ; v. 394
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9.

図書

図書
Roger Temam
出版情報: New York : Springer, c1997  xxi, 648 p. ; 25 cm
シリーズ名: Applied mathematical sciences ; v. 68
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10.

図書

図書
A.S. Fokas and I.M. Gelfand, editors
出版情報: Boston : Birkhäuser, c1997  viii, 350 p. ; 26 cm
シリーズ名: Progress in nonlinear differential equations and their applications / editor, Haim Brezis ; v. 26
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