Fractality and Complex Dimensions

  • Michel L. Lapidus
  • Machiel van Frankenhuijsen
Chapter
Part of the Springer Monographs in Mathematics book series (SMM)

Abstract

In this chapter we discuss some more philosophical aspects of our theory of complex dimensions. In Section 12.1, we propose a new definition of fractality, involving the notion of complex dimension.

Keywords

Dust Manifold Heat Content Peri Tral 

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Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  • Michel L. Lapidus
    • 1
  • Machiel van Frankenhuijsen
    • 2
  1. 1.Department of MathematicsUniversity of California, RiversideRiversideUSA
  2. 2.Department of MathematicsUtah Valley UniversityOremUSA

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