I Zivic and S Milosevic 1993 J. Phys. A: Math. Gen. 26 3393 doi:10.1088/0305-4470/26/14/008
I Zivic and S Milosevic
Show affiliationsThe authors apply the Monte Carlo renormalization group (MCRG) analysis of self-avoiding walks (SAWs) on fractals to calculate the critical exponent gamma , associated with the total number of distinct SAWs. In the case of the Sierpinski gasket family of fractals (whose members are labelled by an integer b, 2<or=b< infinity ) they have calculated gamma for 2<or=b<or=80. Their MCRG results deviate at most 0.2% from the available exact results (2<or=b<or=8). The entire set of their results demonstrates that gamma , being always larger than the Euclidean value 43/32, monotonically increases with b.
28A80 Fractals (See also 37Fxx)
82B41 Random walks, random surfaces, lattice animals, etc. (See also 60G50, 82C41)
Issue 14 (21 July 1993)
I Zivic and S Milosevic 1993 J. Phys. A: Math. Gen. 26 3393
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