Fractal geometry. Mathematical foundations and applications (Q2872212)

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scientific article; zbMATH DE number 6245248
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Fractal geometry. Mathematical foundations and applications
scientific article; zbMATH DE number 6245248

    Statements

    14 January 2014
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    box-counting dimension
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    modified box-counting dimension
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    Hausdorff dimension
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    packing dimension
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    fractals
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    iterated function systems
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    dynamical systems
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    Fractal geometry. Mathematical foundations and applications (English)
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    The book is the third edition of a well-known monography. It incorporates substantial changes, certain parts are rewritten, and new sections are added. The Chapters 2 and 3, concerning the box-counting dimensions and the Hausdorff dimension, are reorganized. The chapter on Brownian motion is largely rewritten. New sections concern porosity and other contemporary concepts. The book is useful for undergraduate and postgraduate courses on fractal geometry.
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