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The Pierre Auger Collaboration

The Pierre Auger Collaboration has reported evidence for anisotropies in the arrival directions of cosmic rays with energies larger thanEth = 55 EeV. There is a correlation above the isotropic…

Mathematical Formulation of Multilayer Networks

This paper introduces a tensorial framework to study multilayer networks, and discusses the generalization of several important network descriptors and dynamical processes—including degree centrality, clustering coefficients, eigenvectorcentrality, modularity, von Neumann entropy, and diffusion—for this framework.
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The Pierre Auger Cosmic Ray Observatory

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Multilayer Analysis and Visualization of Networks

Open-source software (muxViz) is presented that contains a collection of algorithms for the analysis of multilayer networks, which are an important way to represent a large variety of complex systems throughout science and engineering.
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Spectral entropies as information-theoretic tools for complex network comparison

It is shown that by minimizing the Kullback-Leibler divergence between an observed network and a parametric network model, inference of model parameter(s) by means of maximum-likelihood estimation can be achieved and model selection can be performed appropriate information criteria, implying that spectral based statistical inference in complex networks results in demonstrably superior performance.
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Update on the correlation of the highest energy cosmic rays with nearby extragalactic matter

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SEARCHES FOR ANISOTROPIES IN THE ARRIVAL DIRECTIONS OF THE HIGHEST ENERGY COSMIC RAYS DETECTED BY THE PIERRE AUGER OBSERVATORY

We analyze the distribution of arrival directions of ultra-high-energy cosmic rays recorded at the Pierre Auger Observatory in 10 years of operation. The data set, about three times larger than that…
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Identifying modular flows on multilayer networks reveals highly overlapping organization in social systems

To comprehend interconnected systems across the social and natural sciences, researchers have developed many powerful methods to identify functional modules, and for example, with interaction data agregation, these methods have become increasingly important.
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Measurement of the Depth of Maximum of Extensive Air Showers above 1018 eV ( The Pierre Auger Collaboration )

Spectral properties of the Laplacian of multiplex networks

This work derives an interesting decoupling of the problem that allow us to unravel the role played by the interconnections of the multiplex in the dynamical processes on top of them, and performs an asymptotic analysis that allow for analytical expressions for the full spectrum of eigenvalues.
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