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Mathematical Formulation of Multilayer Networks
A network representation is useful for describing the structure of a large variety of complex systems. However, most real and engineered systems have multiple subsystems and layers of connectivity,Expand
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Identifying modular flows on multilayer networks reveals highly overlapping organization in social systems
TLDR
We introduce a generalization of the information-theoretic method to identify modular flows in multilayer networks and analyze their dynamics. Expand
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Multilayer Analysis and Visualization of Networks
TLDR
We present open-source software (muxViz) that contains a collection of algorithms for the analysis of multilayer networks, an important way to represent a large variety of complex systems throughout science and engineering. Expand
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Spectral entropies as information-theoretic tools for complex network comparison
TLDR
We use techniques inspired by quantum statistical mechanics to define an entropy measure for complex networks and to develop a set of information-theoretic tools, based on network spectral properties, such as Renyi q-entropy, generalized Kullback-Leibler and Jensen-Shannon divergences, the latter allowing us to define a natural distance measure between complex networks. Expand
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Muons in air showers at the Pierre Auger Observatory: Mean number in highly inclined events
We present the first hybrid measurement of the average muon number in air showers at ultra-high energies, initiated by cosmic rays with zenith angles between $62^\circ$ and $80^\circ$. TheExpand
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The Anatomy of a Scientific Gossip
TLDR
We present a study of information spreading processes on Twitter before, during and after the announcement of the discovery of a new particle with the features of the elusive Higgs boson on 4 July 2012. Expand
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Spectral properties of the Laplacian of multiplex networks
TLDR
We derive analytical expressions that allow us to infer the behavior of dynamical processes, such as diffusion or synchronization, on top of multiplex networks that have no counterpart in monoplex (one layer) networks. Expand
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The physics of spreading processes in multilayer networks
TLDR
We survey progress towards attaining a deeper understanding of spreading processes on multilayer networks, and we highlight some of the physical phenomena related to spreading processes that emerge from multilayered structure. Expand
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Reinterpreting the development of extensive air showers initiated by nuclei and photons
Ultra-high energy cosmic rays (UHECRs) interacting with the atmosphere generate extensive air showers (EAS) of secondary particles. The depth corresponding to the maximum development of the shower,Expand
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Random walk centrality in interconnected multilayer networks
TLDR
We extend two random walk centrality measures, the random walk betweenness and closeness centrality, to interconnected multilayer networks and provide analytical expressions that completely agree with numerically results. Expand
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