Complex Dimensions of Self-Similar Fractal Strings

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


Throughout this book, we use an important class of ordinary fractal strings, the self-similar fractal strings, to illustrate our theory. These strings are constructed in the usual way via contraction mappings. In this and the next chapter, we give a detailed analysis of the structure of the complex dimensions of such fractal strings


Complex Dimension Initial Interval Asymptotic Density Meromorphic Continuation Minkowski Dimension 
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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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