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...

সম্পূর্ণ বিবরণ

গ্রন্থ-পঞ্জীর বিবরন
প্রধান লেখক: Hambly, B, Kigami, J, Kumagai, T
বিন্যাস: Journal article
ভাষা:English
প্রকাশিত: 2002