Knezevic M.Knežević D.2021-04-202021-04-2020101751-8113https://scidar.kg.ac.rs/handle/123456789/10133We study the distribution of zeros of the partition function of the ferromagnetic Ising model near the Yang-Lee edge on two Sierpiski-type lattices. We have shown that relevant correlation length displays a logarithmic divergence near the edge, ξ yl ∼ | ln(δ h) |Φ where Φ is a constant and δh distance from the edge, in the case of a modified Sierpinski gasket with a nonuniform coordination number. It is demonstrated that this critical behavior can be related to the critical behavior of a simple zero-field Gaussian model of the same structure. We have shown that there is no such connection between these two models on a second lattice that has a uniform coordination number. These findings suggest that fluctuations of the lattice coordination number of a nonhomogeneous selfsimilar structure exert the crucial influence on the critical behavior of both models. © 2010 IOP Publishing Ltd.restrictedAccessarticle10.1088/1751-8113/43/41/4150032-s2.0-78649682512