Research lines

Foundations of complex networks

Marian Boguñá complexity

A wide class of real systems of many interacting elements can be mapped into graphs or networks. Under this approach, vertices or nodes of the network represent the elements of the system whereas edges or links among them stand for interactions between different elements. This mapping has triggered a huge number of works and a surge of interest in the field of complex networks that has lead to a general framework within which to analyze their topology as well as the dynamical processes running on top of them.

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Network geometry

Marián Boguñá complexity

Geometry appears as the most plausible explanation of the complex architecture we observe in real networks. Scale-free degree distributions, clustering, small-world property, communities, reciprocity and many more topological properties can be explained by the existence of a metric space controlling the network interactions.

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Epidemic spreading

Marián Boguñá complexity

Networks are often the substrate over which spreading processes take place. Our research in this area is mainly focused on the understanding of the interplay between the network structure and spreading dynamics.

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Networks in cosmology

Marián Boguñá complexity

The causal structure of spacetime and standard cosmological models can be easily mapped into hyperbolic geometry. Quite interestingly, networks that arise in this context are extremely similar to networks we find in domains as diverse as cell biology, social sciences, or socio-technological systems, like the Internet or the world wide web.

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Socio-technologic systems

Marian Boguñá complexity

In the age of Information Technology, the Internet has become our primary communication system. It is estimated that more than a billion users surf every day the web looking for information, sharing files, or developing new applications. The physical Internet is like a new world where all kind of new social and technological structures are constantly emerging. The Internet has thus become a common good, such as roads, railways, or airline connections and, as such, should be considered.

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