English

Dimer-monomer model on the Sierpinski gasket

Statistical Mechanics 2009-11-13 v1

Abstract

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

Cite

@article{arxiv.cond-mat/0702071,
  title  = {Dimer-monomer model on the Sierpinski gasket},
  author = {Shu-Chiuan Chang and Lung-Chi Chen},
  journal= {arXiv preprint arXiv:cond-mat/0702071},
  year   = {2009}
}

Comments

30 pages, 10 figures, 10 tables

R2 v1 2026-07-22T11:42:51.961Z