Fractal Geometry, Complex Dimensions and Zeta Functions

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Fractal Geometry, Complex Dimensions and Zeta Functions

Name: Fractal Geometry, Complex Dimensions and Zeta Functions
ISBN: 9780387352084

Michel Lapidus, Machiel van Frankenhuijsen

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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.

Категории:

Science (General)

Година:

2006

Издание:

Издателство:

Springer Science & Business Media

Език:

english

Страници:

472

ISBN 10: