Now showing items 1-20 of 21

    • Competing activation mechanisms in epidemics on networks 

      Castellano, Claudio; Pastor Satorras, Romualdo (2012-04-20)
      Article
      Restricted access - publisher's policy
      In contrast to previous common wisdom that epidemic activity in heterogeneous networks is dominated by the hubs with the largest number of connections, recent research has pointed out the role that the innermost, dense ...
    • Cumulative merging percolation and the epidemic transition of the susceptible-infected-susceptible model in networks 

      Castellano, Claudio; Pastor Satorras, Romualdo (2020-03-24)
      Article
      Open Access
      We consider cumulative merging percolation (CMP), a long-range percolation process describing the iterative merging of clusters in networks, depending on their mass and mutual distance. For a specific class of CMP processes, ...
    • Distinct types of eigenvector localization in networks 

      Pastor Satorras, Romualdo; Castellano, Claudio (Macmillan Publishers, 2016-01-12)
      Article
      Open Access
      The spectral properties of the adjacency matrix provide a trove of information about the structure and function of complex networks. In particular, the largest eigenvalue and its associated principal eigenvector are crucial ...
    • Eigenvector localization in real networks and its implications for epidemic spreading 

      Pastor Satorras, Romualdo; Castellano, Claudio (2018-02-10)
      Article
      Open Access
      The spectral properties of the adjacency matrix, in particular its largest eigenvalue and the associated principal eigenvector, dominate many structural and dynamical properties of complex networks. Here we focus on the ...
    • Epidemic processes in complex networks 

      Pastor Satorras, Romualdo; Castellano, Claudio; Van Mieghem, Piet; Vespignani, Alessandro (2015-08-31)
      Article
      Open Access
      In recent years the research community has accumulated overwhelming evidence for the emergence of complex and heterogeneous connectivity patterns in a wide range of biological and sociotechnical systems. The complex ...
    • Epidemic thresholds of the susceptible-infected-susceptible model on networks: a comparison of numerical and theoretical results 

      Ferreira, Silvio C.; Castellano, Claudio; Pastor Satorras, Romualdo (2012-10-15)
      Article
      Open Access
      Recent work has shown that different theoretical approaches to the dynamics of the susceptible-infected-susceptible (SIS) model for epidemics lead to qualitatively different estimates for the position of the epidemic ...
    • Irrelevance of information outflow in opinion dynamics models 

      Castellano, Claudio; Pastor Satorras, Romualdo (2011-01-27)
      Article
      Open Access
      The Sznajd model for opinion dynamics has attracted a large interest as a simple realization of the psychological principle of social validation. As its most salient feature, it has been claimed that the Sznajd model is ...
    • Lifespan method as a tool to study criticality in absorbing-state phase transitions 

      de Souza Mata, Angelica; Boguñá, Marian; Castellano, Claudio; Pastor Satorras, Romualdo (2015-05-12)
      Article
      Open Access
      In a recent work, a new numerical method (the lifespan method) has been introduced to study the critical properties of epidemic processes on complex networks [M. Boguna, C. Castellano, and R. Pastor-Satorras, Phys. Rev. ...
    • Mean-field analysis of the q-voter model on networks 

      Moretti, Paolo; Liu, Suyu; Castellano, Claudio; Pastor Satorras, Romualdo (2013-04-01)
      Article
      Open Access
      We present a detailed investigation of the behavior of the nonlinear q-voter model for opinion dynamics. At the mean-field level we derive analytically, for any value of the number q of agents involved in the elementary ...
    • Nature of the epidemic threshold for the susceptible-infected-susceptible dynamics in networks 

      Boguñá, Marian; Castellano, Claudio; Pastor Satorras, Romualdo (2013-08-07)
      Article
      Open Access
      We develop an analytical approach to the susceptible-infected-susceptible epidemic model that allows us to unravel the true origin of the absence of an epidemic threshold in heterogeneous networks. We find that a delicate ...
    • Non-mean-field behavior of the contact process on scale-free networks 

      Castellano, Claudio; Pastor Satorras, Romualdo (2006)
      Article
      Open Access
      We present an analysis of the classical contact process on scale-free networks. A mean-field study, both for finite and infinite network sizes, yields an absorbing-state phase transition at a finite critical value of the ...
    • On the numerical study of percolation and epidemic critical properties in networks 

      Castellano, Claudio; Pastor Satorras, Romualdo (Springer, 2016-11-09)
      Article
      Open Access
      The static properties of the fundamental model for epidemics of diseases allowing immunity (susceptible-infected-removed model) are known to be derivable by an exact mapping to bond percolation. Yet when performing numerical ...
    • Quasistationary simulations of the contact process on quenched networks 

      Ferreira, Silvio C.; Ferreira, Ronan S.; Castellano, Claudio; Pastor Satorras, Romualdo (2011)
      Article
      Open Access
      We present high-accuracy quasistationary (QS) simulations of the contact process in quenched networks, built using the configuration model with both structural and natural cutoffs. The critical behavior is analyzed in the ...
    • Relating topological determinants of complex networks to their spectral properties: structural and dynamical effects 

      Castellano, Claudio; Pastor Satorras, Romualdo (2017-10-27)
      Article
      Open Access
      The largest eigenvalue of a network’s adjacency matrix and its associated principal eigenvector are key elements for determining the topological structure and the properties of dynamical processes mediated by it. We present ...
    • Relevance of backtracking paths in recurrent-state epidemic spreading on networks 

      Castellano, Claudio; Pastor Satorras, Romualdo (American Institute of Physics (AIP), 2018-11-27)
      Article
      Open Access
      The understanding of epidemics on networks has greatly benefited from the recent application of message-passing approaches, which allow us to derive exact results for irreversible spreading (i.e., diseases with permanent ...
    • Routes to thermodynamic limit on scale-free networks 

      Castellano, Claudio; Pastor Satorras, Romualdo (American Institute of Physics (AIP), 2008-04-08)
      Article
      Open Access
      We show that there are two classes of finite size effects for dynamic models taking place on a scale-free topology. Some models in finite networks show a behavior that depends only on the system size N. Others present an ...
    • Thresholds for epidemic spreading in networks 

      Castellano, Claudio; Pastor Satorras, Romualdo (2010)
      Article
      Open Access
      We study the threshold of epidemic models in quenched networks with degree distribution given by a power-law. For the susceptible-infected-susceptible model the activity threshold c vanishes in the large size limit on any ...
    • Topological structure and the H index in complex networks 

      Pastor Satorras, Romualdo; Castellano, Claudio (2017-02-03)
      Article
      Open Access
      The generalized H(n) Hirsch index of order n has been recently introduced and shown to interpolate between the degree and the K-core centrality in networks. We provide a detailed analytic characterization of the properties ...
    • Universal and nonuniversal features of the generalized voter class for ordering dynamics in two dimensions 

      Castellano, Claudio; Pastor Satorras, Romualdo (2012-11-21)
      Article
      Open Access
      By considering three different spin models belonging to the generalized voter class for ordering dynamics in two dimensions [ Dornic et al. Phys. Rev. Lett. 87 045701 (2001)], we show that they behave differently from the ...
    • Voter models on weighted networks 

      Baronchelli, Andrea; Castellano, Claudio; Pastor Satorras, Romualdo (2011-06-29)
      Article
      Open Access
      We study the dynamics of the voter and Moran processes running on top of complex network substrates where each edge has a weight depending on the degree of the nodes it connects. For each elementary dynamical step the first ...