Generalized Cantor Strings and their Oscillations

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 8 in Fractal Geometry and Number Theory, 2000, pp 173-179 from Springer

Abstract: Abstract In this chapter, we analyze the oscillations in the geometry and the spectrum of the simplest type of generalized self-similar fractal strings. The complex dimensions of these so-called generalized Cantor strings lie on just one vertical line D + inp (n ∈ ℤ), for some D ∈ (0,1) and p > 0. We construct such a generalized Cantor string for any choice of D and p

Date: 2000
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DOI: 10.1007/978-1-4612-5314-3_9

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