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

• Main Authors: Lapidus, Michel L. (Author), Frankenhuijsen, Machiel van (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York, 2006.
• Series: Springer Monographs in Mathematics,
• Subjects: Mathematics.; Dynamics.; Ergodic theory.; Global analysis (Mathematics).; Manifolds (Mathematics).; Measure theory.; Partial differential equations.; Number theory.; Topology.; Number Theory.; Measure and Integration.; Partial Differential Equations.; Dynamical Systems and Ergodic Theory.; Global Analysis and Analysis on Manifolds.

Number theory, spectral geometry, and fractal geometry are interlinked in this in-depth study of the vibrations of fractal strings, that is, one-dimensional drums with fractal boundary. Key Features The Riemann hypothesis is given a natural geometric reformulation in the context of vibrating fractal...