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...

पूर्ण विवरण

ग्रंथसूची विवरण
मुख्य लेखकों: Hambly, B, Kigami, J, Kumagai, T
स्वरूप: Journal article
भाषा:English
प्रकाशित: 2002