254 citations · 1.8k across the 56 of their papers we have counts for
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Catching homologies by geometric entropy
D. Felice, R. Franzosi, S. Mancini +1
A geometric entropy is defined as the Riemannian volume of the parameter space of a statistical manifold associated with a given network. As such it can be a good candidate for mea…
A geometric entropy detecting the Erdös-Rényi phase transition
Roberto Franzosi, Domenico Felice, Stefano Mancini +1
We propose a method to associate a differentiable Riemannian manifold to a generic many degrees of freedom discrete system which is not described by a Hamiltonian function. Then, i…
Riemannian-geometric entropy for measuring network complexity
Roberto Franzosi, Domenico Felice, Stefano Mancini +1
A central issue of the science of complex systems is the quantitative characterization of complexity. In the present work we address this issue by resorting to information geometry…
Quantifying Networks Complexity from Information Geometry Viewpoint
Domenico Felice, Stefano Mancini, Marco Pettini
We consider a Gaussian statistical model whose parameter space is given by the variances of random variables. Underlying this model we identify networks by interpreting random vari…
Topology and Phase Transitions: Theorem on a necessary relation
Roberto Franzosi, Marco Pettini, Lionel Spinelli
An emended and improved version of the present paper has been archived in math-ph/0505057, and a preliminary account of its content has been published in Phys.Rev.Lett. 92, 60601,…