35 citations · 269 across the 26 of their papers we have counts for
12 papers · 1 filter
Ising low-temperature polynomials and hard-sphere gases on cubic lattices of general dimension
P. Butera, M. Pernici
We derive and analyze the low-activity and low-density expansions of the pressure for the model of a hard-sphere gas on cubic lattices of general dimension , through the 13th or…
Positivity of the virial coefficients in lattice dimer models and upper bounds on the number of matchings on graphs
P. Butera, P. Federbush, M. Pernici
Using a relation between the virial expansion coefficients of the pressure and the entropy expansion coefficients in the case of the monomer-dimer model on infinite regular lattice…
A positivity property of the dimer entropy of graphs
P. Butera, P. Federbush, M. Pernici
The entropy of a monomer-dimer system on an infinite bipartite lattice can be written as a mean-field part plus a series expansion in the dimer density. In a previous paper it has…
Sums of permanental minors using Grassmann algebra
P. Butera, M. Pernici
We show that a formalism proposed by Creutz to evaluate Grassmann integrals provides an algorithm of complexity to compute the generating function for the sum of the p…
The high-temperature expansions of the higher susceptibilities for the Ising model in general dimension d
P. Butera
The high-temperature expansion coefficients of the ordinary and the higher susceptibilities of the spin-1/2 nearest-neighbor Ising model are calculated exactly up to the 20th order…
Triviality problem and the high-temperature expansions of the higher susceptibilities for the Ising and the scalar field models on four-, five- and six-dimensional lattices
Paolo Butera, Mario Pernici
High-temperature expansions are presently the only viable approach to the numerical calculation of the higher susceptibilities for the spin and the scalar-field models on high-dime…