 01383 Tetsuya HATTORI, Toshiro TSUDA
 Asymptotic properties of selfavoiding paths on ddimensional Seirpinski gasket from renormalization group analysis
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Oct 17, 01

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Abstract. Notion of self avoiding fixed point, domain of attraction, and critical point are defined for selfavoiding paths on ddimensional preSierpinski gaskets, existence of which imply existence of limit distributions of scaled path lengths of `canonical ensemble', exponential growth of path numbers with respect to the length, and exponents for mean square displacement.
The definitions are written in terms of the flows of the associated renormalizationgroup dynamical system.
We apply the result to prove asymptotic behaviors of a certain class of selfavoiding paths on the 4dimensional preSierpinski gasket.
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