37 citations · 219 across the 17 of their papers we have counts for
6 papers · 1 filter
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…
Thermodynamic versus Topological Phase Transitions: Cusp in the Kertész Line
Philippe Blanchard, Daniel Gandolfo, Jean Ruiz +1
We present a study of phase transitions of the Curie--Weiss Potts model at (inverse) temperature , in presence of an external field . Both thermodynamic and topological aspec…
On a model of random cycles
Daniel Gandolfo, Jean Ruiz, Daniel Ueltschi
We consider a model of random permutations of the sites of the cubic lattice. Permutations are weighted so that sites are preferably sent onto neighbors. We present numerical evide…
On the mean Euler characteristic and mean Betti numbers of the Ising model with arbitrary spin
Philippe Blanchard, Christophe Dobrovolny, Daniel Gandolfo +1
The behaviour of the mean Euler-Poincaré characteristic and mean Betti's numbers in the Ising model with arbitrary spin on $\mathbbm{Z}^2$ as functions of the temperature is invest…
A lattice model for the line tension of a sessile drop
Daniel Gandolfo, Lahoussine Laanait, Salvador Miracle-Solé +1
Within a semi--infinite thre--dimensional lattice gas model describing the coexistence of two phases on a substrate, we study, by cluster expansion techniques, the free energy (lin…
Euler-Poincare' Characteristic and Phase Transition in the Potts Model
Philippe Blanchard, Santo Fortunato, Daniel Gandolfo
Recent results concerning the topological properties of random geometrical sets have been successfully applied to the study of the morphology of clusters in percolation theory. Thi…