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Much of the material presented in this book has come to the fore in recent years. This includes methods for studying dimensions and other parameters of fractal sets and measures, as well as more sophisticated techniques such as thermodynamic formalism and tangent measures. In addition to general theory, many examples and applications are described, in areas such as differential equations and harmonic analysis.
This book is mathematically precise, but aims to give an intuitive feel for the subject, with underlying concepts described in a clear and accessible manner. The reader is assumed to be familiar with material from Fractal Geometry, but the main ideas and notation are reviewed in the first two chapters. Each chapter ends with brief notes on the development and current state of the subject. Exercises are included to reinforce the concepts.
The author's clear style and up-to-date coverage of the subject make this book essential reading for all those who with to develop their understanding of fractal geometry.
Much of the material presented in this book has come to the fore in recent years. This includes methods for studying dimensions and other parameters of fractal sets and measures, as well as more sophisticated techniques such as thermodynamic formalism and tangent measures. In addition to general theory, many examples and applications are described, in areas such as differential equations and harmonic analysis.
This book is mathematically precise, but aims to give an intuitive feel for the subject, with underlying concepts described in a clear and accessible manner. The reader is assumed to be familiar with material from Fractal Geometry, but the main ideas and notation are reviewed in the first two chapters. Each chapter ends with brief notes on the development and current state of the subject. Exercises are included to reinforce the concepts.
The author's clear style and up-to-date coverage of the subject make this book essential reading for all those who with to develop their understanding of fractal geometry.
Review of Fractal Geometry.
Some Techniques for Studying Dimension.
Cookie-cutters and Bounded Distortion.
The Thermodynamic Formalism.
The Ergodic Theorem and Fractals.
The Renewal Theorem and Fractals.
Martingales and Fractals.
Tangent Measures.
Dimensions of Measures.
Some Multifractal Analysis.
Fractals and Differential Equations.
References.
Index.
| Erscheinungsjahr: | 1997 |
|---|---|
| Fachbereich: | Geometrie |
| Genre: | Importe, Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Buch |
| Inhalt: |
XVIII
256 S. |
| ISBN-13: | 9780471957249 |
| ISBN-10: | 0471957240 |
| Sprache: | Englisch |
| Einband: | Gebunden |
| Autor: | Falconer, Kenneth |
| Hersteller: |
Wiley
John Wiley & Sons |
| Verantwortliche Person für die EU: | Wiley-VCH GmbH, Boschstr. 12, D-69469 Weinheim, product-safety@wiley.com |
| Maße: | 235 x 157 x 21 mm |
| Von/Mit: | Kenneth Falconer |
| Erscheinungsdatum: | 28.05.1997 |
| Gewicht: | 0,605 kg |
Review of Fractal Geometry.
Some Techniques for Studying Dimension.
Cookie-cutters and Bounded Distortion.
The Thermodynamic Formalism.
The Ergodic Theorem and Fractals.
The Renewal Theorem and Fractals.
Martingales and Fractals.
Tangent Measures.
Dimensions of Measures.
Some Multifractal Analysis.
Fractals and Differential Equations.
References.
Index.
| Erscheinungsjahr: | 1997 |
|---|---|
| Fachbereich: | Geometrie |
| Genre: | Importe, Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Buch |
| Inhalt: |
XVIII
256 S. |
| ISBN-13: | 9780471957249 |
| ISBN-10: | 0471957240 |
| Sprache: | Englisch |
| Einband: | Gebunden |
| Autor: | Falconer, Kenneth |
| Hersteller: |
Wiley
John Wiley & Sons |
| Verantwortliche Person für die EU: | Wiley-VCH GmbH, Boschstr. 12, D-69469 Weinheim, product-safety@wiley.com |
| Maße: | 235 x 157 x 21 mm |
| Von/Mit: | Kenneth Falconer |
| Erscheinungsdatum: | 28.05.1997 |
| Gewicht: | 0,605 kg |
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