37 citations · 129 across the 14 of their papers we have counts for
16 papers
Glassy states: the free Ising model on a tree
Daniel Gandolfo, Christian Maes, Jean Ruiz +1
We consider the ferromagnetic Ising model on the Cayley tree and we investigate the decomposition of the free state into extremal states below the spin glass temperature. We show t…
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…
A manifold of pure Gibbs states of the Ising model on the Lobachevsky plane
Daniel Gandolfo, Jean Ruiz, Senya Shlosman
In this paper we construct many `new' Gibbs states of the Ising model on the Lobachevsky plane, the millefeuilles. Unlike the usual states on the integer lattices, our foliated sta…
Zebra-percolation on Cayley trees
D. Gandolfo, U. A. Rozikov, J. Ruiz
We consider Bernoulli (bond) percolation with parameter on the Cayley tree of order . We introduce the notion of zebra-percolation that is percolation by paths of alternatin…
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.
On the Wulff construction as a problem of equivalence of statistical ensembles
Salvador Miracle-Sole, Jean Ruiz
The statistical mechanics of SOS (solid-on-solid) 1-dimensional models under the global constraint of having a specified area between the interface and the horizontal axis, is stud…