The structure and dynamics of multilayer networks
Emergence of network features from multiplexity
- Alessio Cardillo, J. Gómez-Gardeñes, S. Boccaletti
- Computer ScienceScientific Reports
- 10 December 2012
This work analyzes the structural properties of an intrinsically multilayered real network, the European Air Transportation Multiplex Network in which each commercial airline defines a network layer, and discusses how the topology of each layer affects the emergence of structural properties in the aggregate network.
Diffusion dynamics on multiplex networks
- S. Gómez, A. Díaz-Guilera, J. Gómez-Gardeñes, C. P. Vicente, Y. Moreno, A. Arenas
- Computer Science, MathematicsPhysical Review Letters
- 11 July 2012
P perturbative analysis is used to reveal analytically the structure of eigenvectors and eigenvalues of the complete network in terms of the spectral properties of the individual layers of the multiplex network, and allows us to understand the physics of diffusionlike processes on top of multiplex networks.
Evolutionary dynamics of group interactions on structured populations: a review
- M. Perc, J. Gómez-Gardeñes, A. Szolnoki, L. Floría, Y. Moreno
- BiologyJournal of the Royal Society Interface
- 10 January 2013
The review particularly highlights that the study of the dynamics of group interactions, like several other important equilibrium and non-equilibrium dynamical processes in biological, economical and social sciences, benefits from the synergy between statistical physics, network science and evolutionary game theory.
Effects of mobility in a population of prisoner's dilemma players.
- S. Meloni, A. Buscarino, Y. Moreno
- EconomicsPhysical review. E, Statistical, nonlinear, and…
- 19 May 2009
This work studies a model in which prisoner's dilemma players are allowed to move in a two-dimensional plane and shows that cooperation can survive in such a system provided that both the temptation to defect and the velocity at which agents move are not too high.
Explosive synchronization transitions in scale-free networks.
These findings represent the first abrupt synchronization transition in complex networks and provide a deeper understanding of the microscopic roots of explosive critical phenomena.
A mathematical model for the spatiotemporal epidemic spreading of COVID19
The model allows for the scrutiny of containment measures that can be used for health authorities to forecast with accuracy their impact in prevalence of COVID--19 and indicates that the peak of incidence will happen in the first half of April 2020 in absence of mobility restrictions.
Evolution of Cooperation in Multiplex Networks
This work shows that the resilience of cooperative behaviors for extremely large values of the temptation to defect is enhanced by the multiplex structure of interdependent networks, thus providing a new way out for cooperation to survive in structured populations.
Paths to synchronization on complex networks.
It is shown how for fixed coupling strengths local patterns of synchronization emerge differently in homogeneous and heterogeneous complex networks, driving the process towards a certain global synchronization degree following different paths.
Entropy rate of diffusion processes on complex networks.
- J. Gómez-Gardeñes, V. Latora
- Computer SciencePhysical review. E, Statistical, nonlinear, and…
- 3 December 2007
The concept of entropy rate is introduced to characterize a diffusion process on a complex network and indicates how to design optimal diffusion processes, providing a new theoretical tool with applications to social, technological, and communication systems.