Author ORCID Identifier
0000-0002-6258-5679
DOI
10.22191/nejcs/vol3/iss1/5
Abstract
Here we present the entropic dynamics formalism for networks. That is, a framework for the dynamics of graphs meant to represent a network derived from the principle of maximum entropy and the rate of transition is obtained taking into account the natural information geometry of probability distributions. We apply this framework to the Gibbs distribution of random graphs obtained with constraints on the node connectivity. The information geometry for this graph ensemble is calculated and the dynamical process is obtained as a diffusion equation. We compare the steady state of this dynamics to degree distributions found on real-world networks.
Recommended Citation
Costa, Felipe Xavier and Pessoa, Pedro
(2021)
"Entropic dynamics of networks,"
Northeast Journal of Complex Systems (NEJCS): Vol. 3
:
No.
1
, Article 5.
DOI: 10.22191/nejcs/vol3/iss1/5
Available at:
https://orb.binghamton.edu/nejcs/vol3/iss1/5
Included in
Dynamical Systems Commons, Geometry and Topology Commons, Non-linear Dynamics Commons, Ordinary Differential Equations and Applied Dynamics Commons, Other Statistics and Probability Commons, Statistical, Nonlinear, and Soft Matter Physics Commons