Preferential attachment is the most popular mechanism to explain scale-free degree distributions in growing networs. However, realistic network models should also include complex connectivity structures and different types of heterogeneity, such as multiple node types, multiple layers, and hyperlinks with multiple orders (hypergraphs). Here we study arbitrarily complex network models growing by a linear preferential attachment mechanism. We show how all these models have a multi-power-law hyperdegree distribution. For generic connectivity structures, the exponent of the power-law distribution is universal for all layers and all orders of hyperlinks, and it depends exclusively on the type of node.
For the last 3 decades, the standard model for phylogenetics has included the Gamma4 model of site heterogeneity. We show that this model has a fundamental issue of bias in branch lengths, and that the inferred length of a branch increases with the number of tips present in other parts of the tree. The problem originates from the equally sized rate classes. We recommend that the use of Gamma4 and other models based on equal rate classes be discontinued.
Perspective on the potential applications of AI to infectious diseases.
Unprecedented epidemic monitoring of transmissions during Euro 2021 and other events. Featured on the cover of Science.
First proposal of measures of incompatibility/distance between phylogeographies.
First high-resolution analysis of COVID-19 transmissions vs duration/proximity. Key paper for precision epidemiology of respiratory pathogens.
The key paper for the worldwide development of contact-tracing apps during the COVID-19 pandemic. More than 3000 citations.
First solid evaluation of the actual impact of a contact-tracing app. Widely used by governments as reference and benchmark for the effectiveness of national apps.