Now showing items 1-20 of 34

  • Absence of epidemic threshold in scale-free networks with degree correlations 

    Boguña Espinal, Marian; Pastor Satorras, Romualdo; Vespignani, Alessandro (American Institute of Physics (AIP), 2003-01-15)
    Article
    Open Access
    Random scale-free networks have the peculiar property of being prone to the spreading of infections. Here we provide for the susceptible-infected-susceptible model an exact result showing that a scale-free degree distribution ...
  • Activity driven modeling of time varying networks 

    Perra, N.; Gonçalves, B.; Pastor Satorras, Romualdo; Vespignani, Alessandro (2012-06-25)
    Article
    Restricted access - publisher's policy
    Network modeling plays a critical role in identifying statistical regularities and structural principles common to many systems. The large majority of recent modeling approaches are connectivity driven. The structural ...
  • Anomalous scaling in the Zhang model 

    Pastor Satorras, Romualdo; Vespignani, Alessandro (Springer, 2000-10-04)
    Article
    Open Access
    We apply the moment analysis technique to analyze large scale simulations of the Zhang sandpile model. We find that this model shows different scaling behavior depending on the update mechanism used. With the standard ...
  • Characterization and modeling of weighted networks 

    Barthelemy, M; Barrat, A; Pastor Satorras, Romualdo; Vespignani, Alessandro (2005-01)
    Article
    Restricted access - publisher's policy
    We review the main tools which allow for the statistical characterization of weighted networks. We then present two case studies, the airline connection network and the scientific collaboration network which are representatives ...
  • Complex networks: patterns of complexity 

    Pastor Satorras, Romualdo; Vespignani, Alessandro (2010-07)
    Article
    Restricted access - publisher's policy
    The Turing mechanism provides a paradigm for the spontaneous generation of patterns in reaction–diffusion systems. A framework that describes Turing-pattern formation in the context of complex networks should provide a new ...
  • Corrections to scaling in the forest-fire model 

    Pastor Satorras, Romualdo; Vespignani, Alessandro (2000-05)
    Article
    Open Access
    We present a systematic study of corrections to scaling in the self-organized critical forest-fire model. The analysis of the steady-state condition for the density of trees allows us to pinpoint the presence of these ...
  • Correlations in complex networks 

    Serrano Moral, Maria Angeles; Boguña Espinal, Marian; Pastor Satorras, Romualdo; Vespignani, Alessandro (2007-01-01)
    Part of book or chapter of book
    Restricted access - publisher's policy
    This book is the culmination of three years of research effort on a multidisciplinary project in which physicists, mathematicians, computer scientists and social scientists worked together to arrive at a unifying picture ...
  • Critical behavior and conservation in directed sandpiles 

    Pastor Satorras, Romualdo; Vespignani, Alessandro (2000-11)
    Article
    Open Access
    We perform large-scale simulations of directed sandpile models with both deterministic and stochastic toppling rules. Our results show the existence of two distinct universality classes. We also provide numerical simulations ...
  • Critical load and congestion instabilities in scale-free networks 

    Moreno, Y; Pastor Satorras, Romualdo; Vázquez, A; Vespignani, Alessandro (2003-02-14)
    Article
    Open Access
  • Cut-offs and finite size effects in scale-free networks 

    Boguña Espinal, Marian; Pastor Satorras, Romualdo; Vespignani, Alessandro (Springer, 2004-03-01)
    Article
    Open Access
    We analyze the degree distribution’s cut-off in finite size scale-free networks. We show that the cut-off behavior with the number of vertices N is ruled by the topological constraints induced by the connectivity structure ...
  • Dynamical and correlation properties of the Internet 

    Pastor Satorras, Romualdo; Vázquez, A; Vespignani, Alessandro (American Institute of Physics (AIP), 2001-11)
    Article
    Open Access
    The description of the Internet topology is an important open problem, recently tackled with the introduction of scale-free networks. We focus on the topological and dynamical properties of real Internet maps in a three-year ...
  • Dynamical patterns of epidemic outbreaks in complex heterogeneous networks 

    Barthelemy, M; Barrat, A; Pastor Satorras, Romualdo; Vespignani, Alessandro (2005-03-10)
    Article
    Open Access
    We present a thorough inspection of the dynamical behavior of epidemic phenomena in populations with complex and heterogeneous connectivity patterns. We show that the growth of the epidemic prevalence is virtually instantaneous ...
  • Epidemic dynamics and endemic states in complex networks 

    Pastor Satorras, Romualdo; Vespignani, Alessandro (2001-05-22)
    Article
    Open Access
    We study by analytical methods and large scale simulations a dynamical model for the spreading of epidemics in complex networks. In networks with exponentially bounded connectivity we recover the usual epidemic behavior ...
  • Epidemic dynamics in finite size scale-free networks 

    Pastor Satorras, Romualdo; Vespignani, Alessandro (American Institute of Physics (AIP), 2002-03)
    Article
    Open Access
    Many real networks present a bounded scale-free behavior with a connectivity cutoff due to physical constraints or a finite network size. We study epidemic dynamics in bounded scale-free networks with soft and hard ...
  • Epidemic outbreaks in complex heterogeneous networks 

    Moreno, Y; Pastor Satorras, Romualdo; Vespignani, Alessandro (Springer, 2002-04)
    Article
    Open Access
    We present a detailed analytical and numerical study for the spreading of infections with acquired immunity in complex population networks. We show that the large connectivity fluctuations usually found in these networks ...
  • 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 ...
  • Epidemics and immunization in scale-free networks 

    Pastor Satorras, Romualdo; Vespignani, Alessandro (Wiley-VCH, 2003)
    Part of book or chapter of book
    Restricted access - publisher's policy
    Complex interacting networks are observed in systems from such diverse areas as physics, biology, economics, ecology, and computer science. For example, economic or social interactions often organize themselves in complex ...
  • Epidemic spreading in complex networks with degree correlations 

    Boguñá, Marian; Pastor Satorras, Romualdo; Vespignani, Alessandro (2003)
    Part of book or chapter of book
    Restricted access - publisher's policy
    We review the behavior of epidemic spreading on complex networks in which there are explicit correlations among the degrees of connected vertices.
  • Epidemic spreading in scale-free networks 

    Pastor Satorras, Romualdo; Vespignani, Alessandro (American Institute of Physics (AIP), 2001-04-02)
    Article
    Open Access
    The Internet has a very complex connectivity recently modeled by the class of scale-free networks. This feature, which appears to be very efficient for a communications network, favors at the same time the spreading of ...
  • Evolution and structure of the internet: a statistical physics approach 

    Pastor Satorras, Romualdo; Vespignani, Alessandro (Cambridge University Press, 2004-02-28)
    Book
    Restricted access - publisher's policy
    The talk will present an overview of the large-scale topological and dynamical properties of real Internet maps. First I will review the methodology used to obtain large scale maps of the Internet at the router and autonomous ...