Fractals, Multifractals, and Thermodynamics: An Introductory Review

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Abstract

The basic concept of fractals and multifractals are introduced for pedagogical purposes, and the present status is reviewed. The emphasis is put on illustrative examples with simple mathematical structures rather than on numerical methods or experimental techniques. As a general characterization of fractals and multifractals a thermodynamical formalism is introduced, establishing a connection between fractal properties and the statistical mechanics of spin chains.

Original languageEnglish
Pages (from-to)1154-1174
Number of pages21
JournalZeitschrift fur Naturforschung - Section A Journal of Physical Sciences
Volume43
Issue number12
DOIs
Publication statusPublished - Dec 1 1988

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ASJC Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Physical and Theoretical Chemistry

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