2007/12/03 by Jesús Gómez‐Gardeñes, Jesus Gomez-Gardenes, Vito Latora · 3 citations
Biochemistry, Genetics and Molecular Biology · Mathematics · Physics and Astronomy · #Artificial intelligence #Complex Network Analysis Techniques #Complex network #Computer science #Diffusion #Diffusion and Search Dynamics #Diffusion process #Entropy (arrow of time) #Entropy maximization #Entropy rate #Innovation diffusion #Joint quantum entropy #Mathematical optimization #Mathematics #Maximization #Network formation #Network structure #Network topology #Opinion Dynamics and Social Influence #Physics #Principle of maximum entropy #Statistical physics #Theoretical computer science #Thermodynamics #Transfer entropy #cond-mat.stat-mech #physics.data-an
paper · pdf · doi:10.1103/physreve.78.065102
4 pages (APS format), 3 figures, 1 table
arxiv created 2007/12/03 · openalex publication_date 2008/12/11 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We introduce the concept of entropy rate to characterize a diffusion process on a complex network. The entropy rate represents the minimal amount of information necessary to describe the diffusion on the network, and is a quantity extremely sensitive to the network topology and dynamics. By opportunely tuning the kind of diffusion, the entropy rate allows one to extract different properties of the network structure. Moreover, entropy maximization indicates how to design optimal diffusion processes, providing a new theoretical tool with applications to social, technological, and communication systems.