2013 | OriginalPaper | Buchkapitel
Complex Dimensions of Ordinary Fractal Strings
verfasst von : Michel L. Lapidus, Machiel van Frankenhuijsen
Erschienen in: Fractal Geometry, Complex Dimensions and Zeta Functions
Verlag: Springer New York
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In this chapter, we recall some basic definitions pertaining to the notion of (ordinary) fractal string and introduce several new ones, the most important of which is the notion of complex dimension. We also give a brief overview of some of our results in this context by discussing the simple but illustrative example of the Cantor string. In the last section, we discuss fractal sprays, which are a higher-dimensional analogue of fractal strings.