Dimer-monomer model on the Sierpinski gasket

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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30 pages, 10 figures, 10 tables

Scientific paper

10.1016/j.physa.2007.10.057

We present the numbers of dimer-monomers on the Sierpinski gasket $SG_d(n)$
at stage $n$ with dimension $d$ equal to two, three and four, and determine the
asymptotic behaviors. The corresponding results on the generalized Sierpinski
gasket $SG_{d,b}(n)$ with $d=2$ and $b=3,4$ are obtained.

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