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...

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Detaylı Bibliyografya
Asıl Yazarlar: Hambly, B, Kigami, J, Kumagai, T
Materyal Türü: Journal article
Dil:English
Baskı/Yayın Bilgisi: 2002