Cutting-decimation Renormalization for Diiusive and Vibrational Dynamics on Fractals
نویسنده
چکیده
Recently, we pointed out that on a class on non exactly decimable frac-tals two diierent parameters are required to describe diiusive and vibra-tional dynamics. This phenomenon we call dynamical dimension splitting is related to the lack of exact decimation invariance for these structures, which turn out to be invariant under a more complex cutting-decimation transform. In this paper we study in details the dynamical dimension splitting on these fractals analyzing the mathematical properties of the cutting-decimation transform. Our results clarify how the splitting arises from the cutting transform and show that the dynamical dimension de-generation is a very peculiar consequence of exact decimability.
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