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math-ph2018★ 5 cited
Proof of a conjecture on the infinite dimension limit of a unifying model for random matrix theory
Mario Pernici, Giovanni M. Cicuta
We study the large limit of a sparse random block matrix ensemble. It depends on two parameters: the average connectivity and the size of the blocks , which is the dimen…
cond-mat.stat-mech2018★ 35 cited
The Blume-Capel model for spins S=1 and 3/2 in dimensions d=2 and 3
P. Butera, M. Pernici
Expansions through the 24th order at high-temperature and up to 11th order at low-temperature are derived for the main observables of the Blume-Capel model on bipartite lattices (s…