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Complex Dimensions of Nonlattice Self-Similar Strings: Quasiperiodic Patterns and Diophantine Approximation

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Fractal Geometry, Complex Dimensions and Zeta Functions

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Abstract

The study of the complex dimensions of nonlattice self-similar strings is most naturally carried out in the more general setting of Dirichlet polynomials.

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Lapidus, M.L., van Frankenhuijsen, M. (2013). Complex Dimensions of Nonlattice Self-Similar Strings: Quasiperiodic Patterns and Diophantine Approximation. 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_3

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