摘要
We perform a Monte Carlo renormalization group analysis of the critical behavior of the ferromagnetic Ising model on a Sierpin'ski fractal with Hausdorff dimension df=1.8928. This method is shown to be relevant to the calculation of the critical temperature Tc and the magnetic eigenexponent yh on such structures. On the other hand, scaling corrections hinder the calculation of the temperature eigenexponent yt . At last, the results are shown to be consistent with a finite-size scaling analysis.