40 citations · 148 across the 21 of their papers we have counts for
4 papers · 1 filter
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 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…
Do extremists impose the structure of social networks?
Philippe Blanchard, Santo Fortunato, Tyll Krueger
The structure and the properties of complex networks essentially depend on the way how nodes get connected to each other. We assume here that each node has a feature which attracts…
What can one learn about Self-Organized Criticality from Dynamical Systems theory ?
Ph. Blanchard, B. Cessac, T. Krueger
We develop a dynamical system approach for the Zhang's model of Self-Organized Criticality, for which the dynamics can be described either in terms of Iterated Function Systems, or…