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We perform a Monte Carlo Renormalization Group analysis of the criticalbehavior of the ferromagnetic Ising model on a Sierpi\'nski fractal withHausdorff dimension $d_f\simeq 1.8928$. This method is shown to be relevant tothe calculation of the critical temperature $T_c$ and the magneticeigen-exponent $y_h$ on such structures. On the other hand, scaling correctionshinder the calculation of the temperature eigen-exponent $y_t$. At last, theresults are shown to be consistent with a finite size scaling analysis.Comment: 16 pages, 7 figure

Critical behavior of the ferromagnetic Ising model on a Sierpiński carpet: Monte Carlo renormalization group study