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- W1981567663 abstract "It is shown that the analogy between the free energy in critical phenomena and the complex generating function allows one to exploit well known position-space renormalization group techniques to easily derive scaling properties as well as the exact density of states for electronic or vibrational problems on fractal lattices. Certain self-similar lattices whose spectral dimension d~ can be larger or less than 2 are also studied L'analogie entre energie libre des phenomenes critiques et la fonction generatrice complexe permet l'utilisation des techniques du groupe de renormalisation dans l'espace direct pour etablir les proprietes d'echelle et la densite d'etats exacte pour les problemes electroniques ou de vibration sur des reseaux fractals. Discussion de l'existence d'une famille de reseaux dont la dimension spectrale d~ peut etre inferieure ou superieure a 2" @default.
- W1981567663 created "2016-06-24" @default.
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- W1981567663 date "1983-01-01" @default.
- W1981567663 modified "2023-10-17" @default.
- W1981567663 title "Scaling and density of states of fractal lattices from a generating function point of view" @default.
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- W1981567663 doi "https://doi.org/10.1051/jphyslet:019830044020084300" @default.
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