2005/09/01 by Agata Fronczak, Piotr Fronczak, Janusz A. Hołyst +1 · 1 citation
Economics, Econometrics and Finance · Mathematics · Physics and Astronomy · #Combinatorics #Complex Network Analysis Techniques #Complex Systems and Time Series Analysis #Complex network #Computer science #Degree (music) #Dissipation #Entropy (arrow of time) #Mathematics #Network topology #Opinion Dynamics and Social Influence #Physics #Quantum mechanics #Random graph #Sequence (biology) #Statistical physics #Theoretical computer science #Topology (electrical circuits) #cond-mat.dis-nn #cond-mat.stat-mech
paper · pdf · doi:10.1103/physreve.73.016108
published as Phys. Rev. E 73, 016108 (2006) · 9 pages, 2 figures
arxiv created 2005/09/01 · openalex publication_date 2006/01/10 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
In this paper, we study fluctuations over several ensembles of maximum-entropy random networks. We derive several fluctuation-dissipation relations characterizing the susceptibilities of different networks to changes in external fields. In the case of networks with a given degree sequence, we argue that the scale-free topologies of real-world networks may arise as a result of the self-organization of real systems into sparse structures with low susceptibility to random external disruptions. We also show that the ensembles of networks with a given degree sequence and networks characterized by two-point correlations are equivalent to random networks with hidden variables.