Now showing items 1-20 of 120

  • 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 ...
  • Aging and percolation dynamics in a Non-Poissonian temporal network model 

    Moinet, Antoine; Starnini, Michele; Pastor Satorras, Romualdo (2016-08-24)
    Article
    Open Access
    We present an exhaustive mathematical analysis of the recently proposed Non-Poissonian Activity Driven (NoPAD) model [Moinet et al., Phys. Rev. Lett. 114, 108701 (2015)], a temporal network model incorporating the empirically ...
  • A model of large-scale proteome evolution 

    Vicente Solé, Ricardo; Pastor Satorras, Romualdo; Smith, E; Kepler, T .B. (2002-03)
    Article
    Open Access
    The next step in the understanding of the genome organization, after the determination of complete sequences, involves proteomics. The proteome includes the whole set of protein-protein interactions, and two recent independent ...
  • Analytic model for the ballistic adsorption of polydisperse mixtures 

    Pastor Satorras, Romualdo (1999-05)
    Article
    Open Access
    We study the ballistic adsorption of a polydisperse mixture of spheres onto a line. Within a mean-field approximation, the problem can be analytically solved by means of a kinetic equation for the gap distribution. In the ...
  • Analytic solution of a static scale-free network model 

    Catanzaro, Michele; Pastor Satorras, Romualdo (Springer, 2005-04-20)
    Article
    Open Access
    We present a detailed analytical study of a paradigmatic scale-free network model, the Static Model. Analytical expressions for its main properties are derived by using the hidden variables formalism. We map the model into ...
  • 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 ...
  • Ballistic adsorption of colloidal magnetic particles 

    Pastor Satorras, Romualdo; Rubí Capaceti, José Miguel (1999-11-29)
    Article
    Restricted access - publisher's policy
    We present a new model of sequential adsorption in which the adsorbing particles experience anisotropic dipolar interactions. These long-range interactions induce highly ordered structures in the adsorbed layer at low ...
  • Bosonic reaction-diffusion processes on scale-free networks 

    Baronchelli, Andrea; Catanzaro, Michele; Pastor Satorras, Romualdo (2008-07-23)
    Article
    Open Access
    Reaction-diffusion processes can be adopted to model a large number of dynamics on complex networks, such as transport processes or epidemic outbreaks. In most cases, however, they have been studied from a fermionic ...
  • Branch distribution in diffusion-limited aggregation: a maximum entropy approach 

    Pastor Satorras, Romualdo; Wagensberg, Jorge (1996-02-15)
    Article
    Restricted access - publisher's policy
    A new approach to the branching structure of diffusion-limited aggregation (DLA) clusters is proposed, in which the stress is laid not on the (traditionally used) order of the branches, but on their mass. The branch ...
  • Breaking of scale invariance symmetry in adsorption processes 

    Pastor Satorras, Romualdo; Rubí Capaceti, José Miguel (2000-08)
    Article
    Open Access
    Standard models of sequential adsorption are implicitly formulated in a scale invariant form, by assuming adsorption on an infinite surface, with no characteristic length scales. In real situations, however, involving ...
  • Burstiness and aging in social temporal networks 

    Moinet, Antoine; Starnini, Michele; Pastor Satorras, Romualdo (2015-03-13)
    Article
    Open Access
    The presence of burstiness in temporal social networks, revealed by a power-law form of the waiting time distribution of consecutive interactions, is expected to produce aging effects in the corresponding time-integrated ...
  • 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 ...
  • Class of correlated random networks with hidden variables 

    Boguña Espinal, Marian; Pastor Satorras, Romualdo (2003-09)
    Article
    Open Access
    We study a class of models of correlated random networks in which vertices are characterized by hidden variables controlling the establishment of edges between pairs of vertices. We find analytical expressions for the main ...
  • Collective versus hub activation of epidemic phases on networks 

    Ferreira, Silvio C.; Salvador, Renan; Pastor Satorras, Romualdo (AMER PHYSICAL SOC, 2016-03-14)
    Article
    Restricted access - publisher's policy
    We consider a general criterion to discern the nature of the threshold in epidemic models on scale-free (SF) networks. Comparing the epidemic lifespan of the nodes with largest degrees with the infection time between them, ...
  • 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 ...
  • Complex networks and glassy dynamics: walks in the energy landscape 

    Moretti, Paolo; Baronchelli, Andrea; Barrat, Alain; Pastor Satorras, Romualdo (Institute of Physics (IOP), 2010-03)
    Article
    Open Access
    We present a simple mathematical framework for the description of the dynamics of glassy systems in terms of a random walk in a complex energy landscape pictured as a network of minima. We show how to use the tools developed ...
  • Complex networks in genomics and proteomics 

    Vicente Solé, Ricardo; Pastor Satorras, Romualdo (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 ...
  • 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 ...