| Full text | |
| Author(s): |
Ferraz de Arruda, Guilherme
[1]
;
Mendez-Bermudez, J. A.
[2, 3]
;
Rodrigues, Francisco A.
[3]
;
Moreno, Yamir
[4, 1, 5]
Total Authors: 4
|
| Affiliation: | [1] ISI Fdn, Via Chisola 5, I-10126 Turin - Italy
[2] Benemerita Univ Autonoma Puebla, Inst Fis, Apartado Postal J-48, Puebla 72570 - Mexico
[3] Univ Sao Paulo, Inst Ciencias Matemat & Comp, Dept Matemat Aplicada & Estat, Campus Sao Carlos, Caixa Postal 668, Sao Carlos, SP - Brazil
[4] Univ Zaragoza, Inst Biocomputat & Phys Complex Syst BIFI, Zaragoza 50018 - Spain
[5] Univ Zaragoza, Dept Theoret Phys, Zaragoza 50009 - Spain
Total Affiliations: 5
|
| Document type: | Journal article |
| Source: | JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT; v. 2020, n. 10 OCT 2020. |
| Web of Science Citations: | 0 |
| Abstract | |
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 similar to n(-delta), with delta approximate to 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. (AU) | |
| FAPESP's process: | 13/07375-0 - CeMEAI - Center for Mathematical Sciences Applied to Industry |
| Grantee: | Francisco Louzada Neto |
| Support Opportunities: | Research Grants - Research, Innovation and Dissemination Centers - RIDC |