Description

Book Synopsis
Following on from the success of Fractal Geometry: Mathematical Foundations and Applications, this new sequel presents a variety of techniques in current use for studying the mathematics of fractals. Much of the material presented in this book has come to the fore in recent years.

Table of Contents
Mathematical Background.

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.

Techniques in Fractal Geometry

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    A Hardback by Kenneth Falconer

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      Book details

      Publisher John Wiley & Sons Inc
      Published 26 March 1997
      ISBN-13 9780471957249
      978-0471957249
      ISBN-10 0471957240
      Also in:
      Mathematics Functional analysis and transforms Topology

      Description

      Book Synopsis
      Following on from the success of Fractal Geometry: Mathematical Foundations and Applications, this new sequel presents a variety of techniques in current use for studying the mathematics of fractals. Much of the material presented in this book has come to the fore in recent years.

      Table of Contents
      Mathematical Background.

      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.

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