Statistical mechanics approach for scale-free networks and finite-scale networks
Mon, Apr. 16th 2007, 14:15
Salle Claude Itzykson, Bât. 774, Orme des Merisiers
I will present how scale-free degree distribution and finite-scale degree
distribution of networks can emerge
by a statistical mechanics model in which we introduce a energetic and an
entropic term having precise graphical interpretation.
We will give extimation for the size of the space of distiguishable graphs
having same degree distribution.
This space is strongly reduced as we consider networks with power-law
exponent close to 2.
Results will be compared with other equilibrium and off-equilibrium models