Dimer-monomer model on the Sierpinski gasket
classification
❄️ cond-mat.stat-mech
keywords
gasketsierpinskiasymptoticbehaviorscorrespondingdeterminedimensiondimer-monomer
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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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