Author, as appears in the article.: Arola-Fernández L; Mosquera-Doñate G; Steinegger B; Arenas A
Department: Enginyeria Informàtica i Matemàtiques
URV's Author/s: Arenas Moreno, Alejandro / Steinegger, Benjamin Franz Josef
Keywords: Hashtag Etiqueta «#» @uroweb @residentesaeu @infoAeu
Abstract: Many complex networks are built up from empirical data prone to experimental error. Thus, the determination of the specific weights of the links is a noisy measure. Noise propagates to those macroscopic variables researchers are interested in, such as the critical threshold for synchronization of coupled oscillators or for the spreading of a disease. Here, we apply error propagation to estimate the macroscopic uncertainty in the critical threshold for some dynamical processes in networks with noisy links. We obtain closed form expressions for the mean and standard deviation of the critical threshold depending on the properties of the noise and the moments of the degree distribution of the network. The analysis provides confidence intervals for critical predictions when dealing with uncertain measurements or intrinsic fluctuations in empirical networked systems. Furthermore, our results unveil a nonmonotonous behavior of the uncertainty of the critical threshold that depends on the specific network structure.
Thematic Areas: Statistical and nonlinear physics Physics, mathematical Physics and astronomy (miscellaneous) Physics and astronomy (all) Medicine (miscellaneous) Medicina veterinaria Medicina ii Mathematics, applied Mathematical physics Matemática / probabilidade e estatística Interdisciplinar Geociências General physics and astronomy Engenharias iv Engenharias iii Engenharias ii Engenharias i Ciências ambientais Ciência da computação Astronomia / física Applied mathematics
licence for use: https://creativecommons.org/licenses/by/3.0/es/
ISSN: 1054-1500
Author's mail: alexandre.arenas@urv.cat benjamin.steinegger@estudiants.urv.cat
Author identifier: 0000-0003-0937-0334 0000-0002-0723-1536
Record's date: 2023-02-19
Papper version: info:eu-repo/semantics/acceptedVersion
Link to the original source: https://aip.scitation.org/doi/10.1063/1.5129630
Licence document URL: http://repositori.urv.cat/ca/proteccio-de-dades/
Papper original source: Chaos. 30 (2): 023129-
APA: Arola-Fernández L; Mosquera-Doñate G; Steinegger B; Arenas A (2020). Uncertainty propagation in complex networks: From noisy links to critical properties. Chaos, 30(2), 023129-. DOI: 10.1063/1.5129630
Article's DOI: 10.1063/1.5129630
Entity: Universitat Rovira i Virgili
Journal publication year: 2020
Publication Type: Journal Publications
Repositori URV