199 citations · 390 across the 9 of their papers we have counts for
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cond-mat.stat-mech2003
Scaling law of Wolff cluster surface energy
Pai-Yi Hsiao, Pascal Monceau
We study the scaling properties of the clusters grown by the Wolff algorithm on seven different Sierpinski-type fractals of Hausdorff dimension in the framework of…
cond-mat.stat-mech2003
Critical behavior of the 3-state Potts model on Sierpinski carpet
Pai-Yi Hsiao, Pascal Monceau
We study the critical behavior of the 3-state Potts model, where the spins are located at the centers of the occupied squares of the deterministic Sierpinski carpet. A finite-size…
cond-mat.stat-mech2003
Critical Behavior of the Ferromagnetic Ising Model on a Sierpinski Carpet: Monte Carlo Renormalization Group Study
Pai-Yi Hsiao, Pascal Monceau
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\simeq 1.8928…