Martí-Franquès COFUND Fellowship Programme


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Engineering and Architecture

Supervisor name and surname:

Alex Arenas

Supervisor email:

Supervisor short biography

PhD programme:

Computer Science and Mathematics of Security

Title of the research project:

Innovation and diffusion of ideas in multilayer networks

Description of the research project:

Project on the diffusion of ideas on multilayer network and inference of the distribution of ideas on the whole network having access only to a limited number of layers.
The basic lines of current research of the group are stated in the program (FIS2015-71582-C2-1-P). This coordinated project presents a common framework of activity for the two groups composing it. The research activity focuses on the interplay between topological structure, particularly of complex networks, and the dynamic processes taking place on it.
We have leaded the development of the foundations of multilayer network science, applying it to several disciplines – such as computational neuroscience, genetics and social science – obtaining outstanding insights and addressing problems that traditional methods have missed. We have contributed to open interesting research lines with multiple interdisciplinary applications.
•Foundations of multilayer networks. The pioneering work on the tensorial representation of networks [Phys. Rev. X 3, 041022 (2013)] set the stage for subsequent works exploiting this formalism to gain new insights on structure and dynamics of multilayer and temporal networks. A milestone of the field is also represented by the contribution to the understanding of the Abrupt transition in the structural formation of interconnected networks [Nature Physics, 9, 717 (2013)]
•Data science of multilayer networks. The paper on the structural reducibility of multilayer networks [Nature Communications, 6, 6864 (2015)] has already inspired research devoted to reduce the description of multilayer networks, introducing a novel data reduction approach inspired by quantum information research. The studies on multilayer centrality descriptors [Nature Communications, 6, 6868 (2015)] and multilayer mesoscale structure [Phys. Rev. X 5, 011027 (2015)] already represent a standard approach to multilayer analysis of complex network.
•Resilience of multilayer networks. The study on the navigability of multilayer transportation networks [PNAS USA 111, 835 (2014)] shed light on new emerging properties of these systems, allowing to quantify their resilience to disruptions for real applications and optimal design of infrastructures. In a later work [PNAS USA 113, 13708 (2016)], I leaded an international team including anthropologists and environmental scientists, to understand the resilience of social-ecological systems to perturbations.
The motivation of the work is based on how polls, particularly in politics, have failed in some major occasions in the last years, e.g. the election of the U.S. president or the “Brexit” referendum; here we try to assess a new interpretation based on how we extract information to research the structure of our society. Our main goal is to produce a mathematical model of voting procedures, considering multilayer networks, its implementation and analysis.

Gross anual salary:

26443.80 €


Full time

Working hours:

37.5 hours a week

Expected start date:

European union This project has received funding from the European Union's Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie grant agreement No. 713679