Multifractal formalisms for the local spectral and walk dimensions

We introduce the concepts of local spectral and walk dimension for fractals. For a class of finitely ramified fractals we show that, if the Laplace operator on the fractal is defined with respect to a multifractal measure, then both the local spectral and walk dimensions will have associated non-tri...

Olles dieđut

Bibliográfalaš dieđut
Váldodahkkit: Hambly, B, Kigami, J, Kumagai, T
Materiálatiipa: Journal article
Giella:English
Almmustuhtton: 2002