Fractal Geometry, Complex Dimensions and Zeta Functions - Geometry and Spectra of Fractal Strings

Fractal Geometry, Complex Dimensions and Zeta Functions - Geometry and Spectra of Fractal Strings

von: Michel Lapidus, Machiel van Frankenhuijsen

Springer-Verlag, 2007

ISBN: 9780387352084 , 460 Seiten

Format: PDF

Kopierschutz: Wasserzeichen

Windows PC,Mac OSX Apple iPad, Android Tablet PC's

Preis: 69,99 EUR

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Fractal Geometry, Complex Dimensions and Zeta Functions - Geometry and Spectra of Fractal Strings


 

Number theory, spectral geometry, and fractal geometry are interlinked in this study of the vibrations of fractal strings, that is, one-dimensional drums with fractal boundary. The Riemann hypothesis is given a natural geometric reformulation in context of vibrating fractal strings, and the book offers explicit formulas extended to apply to the geometric, spectral and dynamic zeta functions associated with a fractal.