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The Fractal Laplacian and Multifractal Quantities

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Fractal Geometry and Stochastics III

Part of the book series: Progress in Probability ((PRPR,volume 57))

Abstract

This survey deals with several quantities of Radon measures in the plane: multifractal characteristics,Courant characteristics related to distinguished eigenfunctions of fractal Laplacians, and Besov characteristics related to function spaces. It is the main aim to describe how closely these quantities are related to each other. In addition, spectral properties of fractal Laplacians are discussed resulting in Weyl measures.

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Author information

Authors and Affiliations

  1. Mathematisches Institut Fakultät für Mathematik and Informatik, Friedrich-Schiller-Universität Jena, D-07740, Jena, Germany

    Hans Triebel

Authors
  1. Hans Triebel
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Editor information

Editors and Affiliations

  1. Institut für Mathematik und Informatik, Ernst-Moritz-Arndt-Universität, Greifswald, 17487, Germany

    Christoph Bandt

  2. Department of Physics, University of Rome La Sapienza, Via G. Boni 20, Roma, 00162, Italy

    Umberto Mosco

  3. Mathematisches Institut, Friedrich-Schiller-Universität, Jena, 07740, Germany

    Martina Zähle

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Triebel, H. (2004). The Fractal Laplacian and Multifractal Quantities. In: Bandt, C., Mosco, U., Zähle, M. (eds) Fractal Geometry and Stochastics III. Progress in Probability, vol 57. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-7891-3_11

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  • DOI: https://doi.org/10.1007/978-3-0348-7891-3_11

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9612-2

  • Online ISBN: 978-3-0348-7891-3

  • eBook Packages: Springer Book Archive

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