000078220 001__ 78220 000078220 005__ 20200716101529.0 000078220 0247_ $$2doi$$a10.1088/1367-2630/aaf8bc 000078220 0248_ $$2sideral$$a110755 000078220 037__ $$aART-2019-110755 000078220 041__ $$aeng 000078220 100__ $$0(orcid)0000-0002-3066-7418$$aEstrada, E. 000078220 245__ $$aCommunicability geometry of multiplexes 000078220 260__ $$c2019 000078220 5060_ $$aAccess copy available to the general public$$fUnrestricted 000078220 5203_ $$aWe give a formal definition of a multiplex network and using its supra-adjacency matrix representation we construct the multiplex communicability matrix. Then we prove that the communicability function naturally induces an embedding of the multiplexes in a hyperspherical Euclidean space. We then study (i) intra-layer, (ii) inter-layer, and (iii) inter-layer self-communicability distance and angles in multiplex networks. Using these multiplex metrics we study a social multiplex related to an office politics and the multiplex of synaptic interactions between neurons in the worm C. elegans. We find that the average communicability angles in these multiplexes exhibits a minimum for certain value of the interlayer coupling strength. We provide an explanation for this phenomenon which emerges from the multiplexity of these systems and related it to other important phenomena like the synchronizability of these systems. Finally, we define and study communicability shortest paths in the multiplexes. We show how the communicability shortest paths avoid the most central nodes in the multiplexes in terms of their degree and betweenness, which is a main difference with (topological) shortest paths. We explain this behavior in terms of a diffusive model in which the "information" not only diffuses between the nodes but it is also processed internally on the entities of the complex system. Finally, we give some new ideas on how to extend the current work and represent complex systems as "multiplex hypergraphs" and "multi-simplicial complexes". 000078220 540__ $$9info:eu-repo/semantics/openAccess$$aby$$uhttp://creativecommons.org/licenses/by/3.0/es/ 000078220 590__ $$a3.539$$b2019 000078220 591__ $$aPHYSICS, MULTIDISCIPLINARY$$b17 / 85 = 0.2$$c2019$$dQ1$$eT1 000078220 592__ $$a1.734$$b2019 000078220 593__ $$aPhysics and Astronomy (miscellaneous)$$c2019$$dQ1 000078220 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion 000078220 773__ $$g21 (2019), 015004 [15 pp]$$pNew j. phys.$$tNew Journal of Physics$$x1367-2630 000078220 8564_ $$s1080724$$uhttps://zaguan.unizar.es/record/78220/files/texto_completo.pdf$$yVersión publicada 000078220 8564_ $$s12292$$uhttps://zaguan.unizar.es/record/78220/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada 000078220 909CO $$ooai:zaguan.unizar.es:78220$$particulos$$pdriver 000078220 951__ $$a2020-07-16-09:32:53 000078220 980__ $$aARTICLE