Abstract
We perform a Monte Carlo renormalization group analysis of the critical behavior of the ferromagnetic Ising model on a Sierpiński fractal with Hausdorff dimension d f 1.8928. This method is shown to be relevant to the calculation of the critical temperature. T c and the magnetic eigenexponent y h on such structures. On the other hand, scaling corrections hinder the calculation of the temperature eigenexponent y t . At last, the results are shown to be consistent with a finite-size scaling analysis.