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Mauricio Barahona

Researcher at Imperial College London

Publications -  266
Citations -  11931

Mauricio Barahona is an academic researcher from Imperial College London. The author has contributed to research in topics: Complex network & Computer science. The author has an hindex of 44, co-authored 252 publications receiving 10076 citations. Previous affiliations of Mauricio Barahona include California Institute of Technology & Massachusetts Institute of Technology.

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Observability and coarse graining of consensus dynamics through the external equitable partition.

TL;DR: The relationship between the original consensus dynamics and the associated consensus of the quotient graph under varied initial conditions is established, and the asymptotic convergence to the synchronization manifold under nonuniform input signals is characterized.
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Random Walks, Markov Processes and the Multiscale Modular Organization of Complex Networks

TL;DR: This dynamic framework creates a systematic link between different stochastic dynamics and their corresponding notions of optimal communities under distinct (node and edge) centralities and shows that the Markov Stability can be computed efficiently to find multi-scale community structure in large networks.
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Encoding dynamics for multiscale community detection: Markov time sweeping for the map equation.

TL;DR: It is shown here that the original map coding scheme, which is both block-averaged and one-step, neglects the internal structure of the communities and introduces an upper scale, the "field-of-view" limit, in the communities it can detect, which can lead to undesirable overpartitioning when communities are far from clique-like.
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Switchable genetic oscillator operating in quasi-stable mode

TL;DR: Even repressilators possess quasi-stable, travelling wave periodic solutions that are reachable, long-lived and robust to parameter changes that underlie the sustained oscillations observed in even rings in the stochastic regime, even if these circuits are expected to behave as switches.