Articles liés à Fractal Geometry, Complex Dimensions and Zeta Functions

Fractal Geometry, Complex Dimensions and Zeta Functions - Couverture rigide

Lapidus, Michel Laurent

 
9780387332857: Fractal Geometry, Complex Dimensions and Zeta Functions

Synopsis

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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