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Complex Dimensions of Self-Similar Fractal Strings

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Fractal Geometry, Complex Dimensions and Zeta Functions

Part of the book series: Springer Monographs in Mathematics ((SMM))

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Abstract

Throughout this book, we use an important class of ordinary fractal strings, the self-similar fractal strings, to illustrate our theory. These strings are constructed in the usual way via contraction mappings. In this and the next chapter, we give a detailed analysis of the structure of the complex dimensions of such fractal strings

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Lapidus, M.L., van Frankenhuijsen, M. (2013). Complex Dimensions of Self-Similar Fractal Strings. 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_2

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