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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

Periodic Orbit Zeta Function Complex Dimension Sierpinski Gasket Minkowski Dimension 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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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