Fractal Geometry, Complex Dimensions and Zeta Functions
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 strings
- Complex dimensions of a fractal string, defined as the poles of an associated zeta funct...
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 strings
- Complex dimensions of a fractal string, defined as the poles of an associated zeta funct...
