Romualdo Pastor-Satorras
Polytechnic University of Catalonia
Structure (category theory)The InternetRandom walkPhysicsStatistical physicsTopologyPhase transitionHeterogeneous networkDegree (graph theory)Scale-free networkExponentMathematicsComplex networkTopology (chemistry)Computer scienceComplex systemRenormalization groupTheoretical computer scienceDegree distributionScaling
238Publications
61H-index
26.7kCitations
Publications 190
Newest
In the study of epidemic dynamics a fundamental question is whether a pathogen initially affecting only one individual will give rise to a limited outbreak or to a widespread pandemic. The answer to this question crucially depends not only on the parameters describing the infection and recovery processes but also on where, in the network of interactions, the infection starts from. We study the dependence on the location of the initial seed for the Susceptible-Infected-Susceptible epidemic dynami...
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#1Pau Clusella (UPC: Polytechnic University of Catalonia)H-Index: 6
#2Romualdo Pastor-Satorras (UPC: Polytechnic University of Catalonia)H-Index: 61
Systems composed of interacting self-propelled particles (SPPs) display different forms of order–disorder phase transitions relevant to collective motion. In this paper, we propose a generalization of the Vicsek model characterized by an angular noise term following an arbitrary probability density function, which might depend on the state of the system and thus have a multiplicative character. We show that the well established vectorial Vicsek model can be expressed in this general formalism by...
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#1Dan LuH-Index: 2
#2Alberto AletaH-Index: 12
Last. Yamir MorenoH-Index: 77
view all 6 authors...
The development of efficacious vaccines has made it possible to envision mass vaccination programs aimed at suppressing SARS-CoV-2 transmission around the world. Here we use a data-driven age-structured multilayer representation of the population of 34 countries to estimate the disease induced immunity threshold, accounting for the contact variability across individuals. We show that the herd immunization threshold of random (un-prioritized) mass vaccination programs is generally larger than the...
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#1Pau Clusella (UPC: Polytechnic University of Catalonia)H-Index: 6
#2M. Carmen Miguel (University of Barcelona)H-Index: 13
Last. Romualdo Pastor-Satorras (UPC: Polytechnic University of Catalonia)H-Index: 61
view all 3 authors...
Systems composed of reactive particles diffusing in a network display emergent dynamics. While Fick’s diffusion can lead to Turing patterns, other diffusion schemes might display more complex phenomena. Here we study the death and restoration of collective oscillations in networks of oscillators coupled by random-walk diffusion, which modifies both the original unstable fixed point and the stable limit-cycle, making them topology-dependent. By means of numerical simulations we show that, in some...
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#1Romualdo Pastor-Satorras (UPC: Polytechnic University of Catalonia)H-Index: 61
#2Claudio CastellanoH-Index: 61
The spectrum of the non-backtracking matrix plays a crucial role in determining various structural and dynamical properties of networked systems, ranging from the threshold in bond percolation and non-recurrent epidemic processes, to community structure, to node importance. Here we calculate the largest eigenvalue of the non-backtracking matrix and the associated non-backtracking centrality for uncorrelated random networks, finding expressions in excellent agreement with numerical results. We sh...
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#1Gaël Poux-Médard (École normale supérieure de Lyon)H-Index: 1
#2Romualdo Pastor-Satorras (UPC: Polytechnic University of Catalonia)H-Index: 61
Last. Claudio CastellanoH-Index: 61
view all 3 authors...
This paper investigates how the duration and extent of a recurrent epidemic started from a given node in a network depend on the position of the node in the structure. An analytical approach provides detailed predictions in good agreement with numerical simulations except close to the epidemic threshold. Degree centrality is the main indicator of which are influential spreaders.
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#1Claudio CastellanoH-Index: 61
#2Romualdo Pastor-Satorras (UPC: Polytechnic University of Catalonia)H-Index: 61
During the spread of an epidemic, highly connected individuals can maintain infection throughout the population by reinfecting each other even when not in direct contact.
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#1Gaël Poux-MédardH-Index: 1
Last. Claudio CastellanoH-Index: 61
view all 3 authors...
#1Wesley Cota (UFV: Universidade Federal de Viçosa)H-Index: 13
#2Silvio C. Ferreira (NIST: National Institute of Standards and Technology)H-Index: 26
Last. Michele Starnini (Institute for Scientific Interchange)H-Index: 16
view all 4 authors...
Echo chambers in online social networks, in which users prefer to interact only with ideologically-aligned peers, are believed to facilitate misinformation spreading and contribute to radicalize political discourse. In this paper, we gauge the effects of echo chambers in information spreading phenomena over political communication networks. Mining 12 million Twitter messages, we reconstruct a network in which users interchange opinions related to the impeachment of the former Brazilian President...
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#1Diogo H. SilvaH-Index: 4
#2Silvio C. Ferreira (NIST: National Institute of Standards and Technology)H-Index: 26
Last. Claudio CastellanoH-Index: 61
view all 5 authors...
The authors show how the accuracy of mean-field estimates of the epidemic threshold in real and synthetic complex networks are related to their spectral properties. The results allow to gauge the predictive effectiveness of the different theories, enabling the selection of the minimal representative approach in order to obtain the desired accuracy in predictions for real-world topologies.
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