88 citations · 540 across the 32 of their papers we have counts for
Showing cond-mat.stat-mechShow all
3 papers · 1 filter
cond-mat.stat-mech2023
Exact partition function of the Potts model on the Sierpinski gasket and the Hanoi lattice
Pedro D. Alvarez
We present an analytic study of the Potts model partition function on the Sierpinski and Hanoi lattices, which are self-similar lattices of triangular shape with non integer Hausdo…
cond-mat.stat-mech2010
Partition function of the Potts model on self-similar lattices as a dynamical system and multiple transitions
Pedro D. Alvarez, Fabrizio Canfora, Luca Parisi
We present an analytic study of the Potts model partition function on two different types of self-similar lattices of triangular shape with non integer Hausdorff dimension. Both ty…
cond-mat.stat-mech2009★ 10 cited
Potts model on recursive lattices: some new exact results
Pedro D. Alvarez, Fabrizio Canfora, Sebastian A. Reyes +1
We compute the partition function of the Potts model with arbitrary values of and temperature on some strip lattices. We consider strips of width , for three different l…