Optimal Coupling in Directed Multiplex Networks: A new type of superdiffusion

We study the dynamics of diffusion processes acting on directed multiplex networks, i.e., coupled multilayer networks where at least one layer consists of a directed graph. By numerical and analytical analysis, we show a new phenomenology, which is genuinely induced by the directionality of the links: the emergence of a prime regime of coupling for which directed multiplex networks exhibit a faster diffusion at an intermediate degree of coupling than when the two layers are fully coupled. The speed of the processes at the optimal coupling can be higher than in any of the individual layers (Superdiffusion). Furthermore, directed multiplex networks can exhibit superdiffusion within the optimal regime, even in scenarios where the asymptotic regime is not superdiffusive. By the analysis of three simple multiplex, we tease out the characteristics of the directed dynamics that give rise to a regime in which an optimal coupling exists. Given the ubiquity of both directed and multilayer networks in nature, our results could have important implications for the dynamics of multilevel complex systems towards optimality.

Alejandro Tejedor, Anthony Longjas, Efi Foufoula-Georgiou, Tryphon Georgiou and Yamir Moreno
Monday, September 24, 2018 - 12:15 to 12:30


The official Hotel of the Conference is
Makedonia Palace.

Conference Organiser: NBEvents

The official travel agency of the Conference is: Air Maritime

Photo of Thessaloniki seafront courtesy of Juli Bellou
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