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...

Полное описание

Библиографические подробности
Главные авторы: Hambly, B, Kigami, J, Kumagai, T
Формат: Journal article
Язык:English
Опубликовано: 2002