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Fractal Geometry, Complex Dimensions and Zeta Functions

Geometry and Spectra of Fractal Strings

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  • 596 stránok
  • 21 hodin čítania

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Exploring the connections between number theory, spectral geometry, and fractal geometry, this study delves into the vibrations of fractal strings—one-dimensional drums characterized by fractal boundaries. The work presents a rigorous examination of how these mathematical concepts interrelate, providing insights into the properties and behaviors of fractal structures in the context of vibrations.

Vydanie

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Fractal Geometry, Complex Dimensions and Zeta Functions, Michel L. Lapidus, Machiel van Frankenhuijsen

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Rok vydania
2012
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