$Finitely ramified graph-directed fractals, spectral asymptotics and the multidimensional renewal theorem$

Finitely ramified graph-directed fractals, spectral asymptotics and the multidimensional renewal theorem

We consider the class of graph-directed constructions which are connected and have the property of finite ramification. By assuming the existence of a fixed point for a certain renormalization map, it is possible to construct a Laplace operator on fractals in this class via their Dirichlet forms. Ou...

Полное описание

Библиографические подробности
Главные авторы:	Hambly, B, Nyberg, S
Формат:	Journal article
Язык:	English
Опубликовано:	2003

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