37 citations · 219 across the 17 of their papers we have counts for
18 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…
Mean field analysis of large-scale interacting populations of stochastic conductance-based spiking neurons using the Klimontovich method
Daniel Gandolfo, Roger Rodriguez, Henry C. Tuckwell
We investigate the dynamics of large-scale interacting neural populations, composed of conductance based, spiking model neurons with modifiable synaptic connection strengths, which…
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…
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…
New Phase transitions of the Ising model on Cayley trees
D. Gandolfo, F. H. Haydarov, U. A. Rozikov +1
We show that the nearest neighbors Ising model on the Cayley tree exhibits new temperature driven phase transitions. These transitions holds at various inverse temperatures differe…