Welcome to my website!


I am a Tenure-Track "Ramon y Cajal" Researcher of the Department of Condensed Matter Physics and the Institute for Biocomputation and Physics of Complex Systems, at the University of Zaragoza (Spain).

My interests are widely interdisciplinary, ranging from biological to social systems, but always focused on the use of statistical physics to the study of the emergence of collective phenomena in systems of a large number of interacting elements.


Review Article on Multilayer Networks

In this review article we report the recent advances on the chracterization of the strutural and dynamical aspects of multilayer networks. We cover these topics in an exhaustive way (122 pages and more than 500 references) including real examples of multilayer complex systems of diverse nature.

Read:
Physics Reports (2014)


Download Multiplex Dataset!

Here, you can find the dataset of a multiplex network composed of the airlines operating in Europe. The data contains up to thirty-seven different layers each one corresponding to a different airline (inluding both major and low-cost companies).

You are free to use the dataset. We kindly ask you to cite the following paper as the source of the data:

Read:
Nature Sci. Rep. 3, 1344 (2013)

Correlation Dimension of Networks

Here we characterize the dimension of networks based on the ergodic theory of dynamical systems. The method makes use of the correlation sum of the trajectory of a  a random walker navigating the network, and extends the Grassberger-Procaccia algorithm to the network realm yielding reliable results and providing a fast way for estimating the dimensionality of networks.

Read:
 Phys. Rev. Lett 110, 168703 (2013)

Review on Public Good Games

This review article 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.

Read:

J. Roy. Soc. Interface 10, 20120997 (2013)

Diffusion on Muliplex Networks

We propose the construction of a supra-Laplacian matrix, which consists of a dimensional lifting of the Laplacian matrix of each layer of a multiplex network. We  derive the spectra of the multiplex network in terms of the spectral properties of each layer. The supra-Laplacian allows us to understand the physics of diffusion-l processes on top of multiplex networks.

Read:
Phys. Rev. Lett 110, 028701 (2011)

Quantum Page-rank

We present a Quantum version of the celebrated Google algorithm for ranking websites. Working with Quantum Random Walks we generalize the Page-Rank method to the quantum domain obtaining an enhanced ranking method.

Read:
Nature Sci. Rep. 2, 605 (2012).




Games in Multiplex Networks

Multiplex networks are sets of coupled networks in which each node is represented in each network instance. Here we explore the impact that these coupled networked structures have on the evolution of cooperative behavior.

Read:
Nature Sci. Rep. 2, 620 (2012).



Explosive Synchronization

Explosive phenomena in networks was first discovered as an abrupt phase transition in percolation. We show how to obtain a first-order synchronization transition in Kuramoto and chaotic systems. 

Read:
Phys. Rev. Lett 106, 128701 (2011)
            Phys. Rev. Lett 108, 168702 (2012)




Sync. in Adaptive Networks

We propose an Adaptive Network model in which nodes adjust the weights of their connections following two basic neural-based principles: Hebbian and Homeostatic plasticity. The dynamical evolution shows the emergence of modular networks with scale-free patterns when local synchronization is large compared to the degree of global dynamical coherence.

Read:
Phys. Rev. Lett. 107, 234103 (2011)
           Nature Sci. Rep. 1, 99  (2011).