108298 20211115135504.0 doi 10.1088/1742-5468/abbcd4 sideral 121202 ART-2020-121202 eng De Arruda, G.F. Universality of eigenvector delocalization and the nature of the SIS phase transition in multiplex networks 2020 Universal spectral properties of multiplex networks allow us to assess the nature of the transition between disease-free and endemic phases in the SIS epidemic spreading model. In a multiplex network, depending on a coupling parameter, p, the inverse participation ratio (IPR) of the leading eigenvector of the adjacency matrix can be in two different structural regimes: (i) layer-localized and (ii) delocalized. Here we formalize the structural transition point, p*, between these two regimes, showing that there are universal properties regarding both the layer size n and the layer configurations. Namely, we show that IPR ~ n-d, with d ˜ 1, and revealed an approximately linear relationship between p. and the difference between the layers'' average degrees. Furthermore, we showed that this multiplex structural transition is intrinsically connected with the nature of the SIS phase transition, allowing us to both understand and quantify the phenomenon. As these results are related to the universal properties of the leading eigenvector, we expect that our findings might be relevant to other dynamical processes in complex networks. Access copy available to the general public Unrestricted info:eu-repo/grantAgreement/ES/DGA/E36-17R info:eu-repo/grantAgreement/ES/MINECO-FEDER/FIS2017-87519-P info:eu-repo/semantics/openAccess All rights reserved http://www.europeana.eu/rights/rr-f/ 2.231 2020 PHYSICS, MATHEMATICAL 14 / 55 = 0.255 2020 Q2 T1 MECHANICS 73 / 135 = 0.541 2020 Q3 T2 0.427 2020 Statistical and Nonlinear Physics 2020 Q3 Statistics, Probability and Uncertainty 2020 Q3 Statistics and Probability 2020 Q3 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion Méndez-Bermúdez, J.A. Rodrigues, F.A. Moreno, Y. Universidad de Zaragoza (orcid)0000-0002-0895-1893 2004 405 Universidad de Zaragoza Dpto. Física Teórica Área Física Teórica 2020, 10 (2020), 103405 [10 pp] J. Stat. Mech.-Theory Exp. Journal of Statistical Mechanics: Theory and Experiment 1742-5468 1032779 http://zaguan.unizar.es/record/108298/files/texto_completo.pdf Postprint 3279480 http://zaguan.unizar.es/record/108298/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:108298 articulos driver 2021-11-15-08:54:23 ARTICLE