Lecture Notes in Earth Sciences
1 primary work
Book 211
Fractal Geometry, Complex Dimensions and Zeta Functions
by Michel L. Lapidus and Machiel Frankenhuijsen
Published 1 January 2006
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.