10 citations · 22 across the 3 of their papers we have counts for
3 papers
cond-mat.stat-mech2006★ 10 cited
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…
cond-mat.stat-mech2005★ 4 cited
Surface transitions of the semi-infinite Potts model II: the low bulk temperature regime
Christophe Dobrovolny, Lahoussine Laanait, Jean Ruiz
We consider the semi-infinite (q)-state Potts model. We prove, for large (q), the existence of a first order surface phase transition between the ordered phase and the the so-calle…
cond-mat.stat-mech2004★ 8 cited
Surface transitions of the semi-infinite Potts model I: the high bulk temperature regime
Christophe Dobrovolny, Lahoussine Laanait, Jean Ruiz
We propose a rigorous approach of Semi-Infinite lattice systems illustrated with the study of surface transitions of the semi-infinite Potts model.