Complex Dimensions of Self-Similar Fractal Strings

Michel L. Lapidus () and Machiel van Frankenhuysen ()
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Michel L. Lapidus: University of California, Department of Mathematics
Machiel van Frankenhuysen: University of California, Department of Mathematics

Chapter 2 in Fractal Geometry and Number Theory, 2000, pp 23-54 from Springer

Abstract: Abstract An important class of examples of ordinary fractal strings is provided by the so-called self-similar strings, which we will use throughout this book to illustrate our theory. These are constructed in the usual way with the aid of contraction mappings. In this chapter, we give a detailed analysis of the structure of the complex dimensions of such fractal strings.

Date: 2000
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DOI: 10.1007/978-1-4612-5314-3_3

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