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 generalized Cantor strings form a vertical arithmetic sequence D + inp (n Z).
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© 2013 Springer Science+Business Media New York
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Lapidus, M.L., van Frankenhuijsen, M. (2013). Generalized Cantor Strings and their Oscillations. In: Fractal Geometry, Complex Dimensions and Zeta Functions. Springer Monographs in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-2176-4_10
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DOI: https://doi.org/10.1007/978-1-4614-2176-4_10
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Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4614-2175-7
Online ISBN: 978-1-4614-2176-4
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