Fractal Geometry, Complex Dimensions and Zeta Functions

Geometry and Spectra of Fractal Strings

Auteurs

• Michel L. Lapidus
• Machiel van Frankenhuijsen

Paramètres

• 596 pages
• 21 heures de lecture

• Mathématiques

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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.

Achat du livre

• Année de publication: 2012
• Reliure: (rigide)