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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 2012Show all

3 papers · 1 filter

math-ph2012★ 34 cited

On free energies of the Ising model on the Cayley tree

D. Gandolfo, M. M. Rakhmatullaev, U. A. Rozikov +1

We present, for the Ising model on the Cayley tree, some explicit formulae of the free energies (and entropies) according to boundary conditions (b.c.). They include translation-in…

math-ph2012★ 1 cited

On four state Hard Core Models on the Cayley Tree

D. Gandolfo, U. A. Rozikov, J. Ruiz

We consider a nearest-neighbor four state hard-core (HC) model on the homogeneous Cayley tree of order . The Hamiltonian of the model is considered on a set of "admissible" conf…

math-ph2012★ 37 cited

A manifold of pure Gibbs states of the Ising model on a Cayley tree

Daniel Gandolfo, Jean Ruiz, Senya Shlosman

We study the Ising model on a Cayley tree. A wide class of new Gibbs states is exhibited.