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
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© 2000 Birkhäuser Boston
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Lapidus, M.L., van Frankenhuysen, M. (2000). Generalized Cantor Strings and their Oscillations. In: Fractal Geometry and Number Theory. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-5314-3_9
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DOI: https://doi.org/10.1007/978-1-4612-5314-3_9
Publisher Name: Birkhäuser Boston
Print ISBN: 978-1-4612-5316-7
Online ISBN: 978-1-4612-5314-3
eBook Packages: Springer Book Archive