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20002017
most citedA manifold of pure Gibbs states of the Ising model on a Cayley tree

37 citations · 219 across the 17 of their papers we have counts for

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Showing 2015Show all

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math-ph2015★ 1 cited

Boundary conditions for translation-invariant Gibbs measures of the Potts model on Cayley trees

D. Gandolfo, M. M. Rahmatullaev, U. A. Rozikov

We consider translation-invariant splitting Gibbs measures (TISGMs) for the -state Potts model on a Cayley tree of order two. Recently a full description of the TISGMs was obtai…

math-ph2015

Geometric expansion of the log-partition function of the anisotropic Heisenberg model

Daniel Gandolfo, Suren Poghosyan, Jean Ruiz

We study the asymptotic expansion of the log-partition function of the anisotropic Heisenberg model in a bounded domain as this domain is dilated to infinity. Using the Ginibre's r…