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Fractal Geometry, complex dimensions, and Zeta functions: geometry and spectra of fractal strings

Offers a study of the vibrations of fractal strings, that is, one-dimensional drums with fractal boundary. This book interlinks number theory, spectral geometry, and fractal geometry. It gives the Riemann hypothesis a natural geometric reformulation in the context of vibrating fractal strings. It in...

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Detalles Bibliográficos
Autores principales: Lapidus, Michel L, van Frankenhuijsen, Machiel
Lenguaje:eng
Publicado: Springer 2006
Materias:
Acceso en línea:https://dx.doi.org/10.1007/978-0-387-35208-4
http://cds.cern.ch/record/1165744
Descripción
Sumario:Offers a study of the vibrations of fractal strings, that is, one-dimensional drums with fractal boundary. This book interlinks number theory, spectral geometry, and fractal geometry. It gives the Riemann hypothesis a natural geometric reformulation in the context of vibrating fractal strings. It includes theorems, examples and illustrations