Asymptotics for the spectral and walk dimension as fractals approach Euclidean space

We discuss the behavior of the dynamic dimension exponents for families of fractals based on the Sierpinski gasket and carpet. As the length scale factor for the family tends to infinity, the lattice approximations to the fractals look more like the tetrahedral or cubic lattice in Euclidean space an...

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Detalles Bibliográficos
Main Authors: Hambly, B, Kumagai, T
Formato: Journal article
Idioma:English
Publicado: 2002