Resumen: Multilayer networks have been the subject of intense research during the past few years, as they represent better the interdependent nature of many real-world systems. Here, we address the question of describing the three different structural phases in which a multiplex network might exist. We show that each phase can be characterized by the presence of gaps in the spectrum of the supra-Laplacian of the multiplex network. We therefore unveil the existence of different topological scales in the system, whose relation characterizes each phase. Moreover, by capitalizing on the coarse-grained representation that is given in terms of quotient graphs, we explain the mechanisms that produce those gaps as well as their dynamical consequences. Idioma: Inglés DOI: 10.1103/PhysRevE.94.052318 Año: 2016 Publicado en: Physical Review E 94, 5 (2016), 052318 [6 pp.] ISSN: 2470-0045 Factor impacto JCR: 2.366 (2016) Categ. JCR: PHYSICS, MATHEMATICAL rank: 6 / 55 = 0.109 (2016) - Q1 - T1 Categ. JCR: PHYSICS, FLUIDS & PLASMAS rank: 10 / 31 = 0.323 (2016) - Q2 - T1 Factor impacto SCIMAGO: 1.27 - Condensed Matter Physics (Q1) - Statistics and Probability (Q1) - Statistical and Nonlinear Physics (Q1)