ENGLISH

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

By Michel L. Lapidus , Machiel van Frankenhuijsen

Book information

Publisher
Springer
Year
2006
ISBN
0387332855, 9780387332857, 9780387352084
Language
english
Format
PDF
Filesize
2 MB (2395927 bytes)
Series
Springer Monographs in Mathematics
Edition
1
Pages
488\472
Time added
2011-06-04 13:46:07

Description

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.

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