5.8k citations · 32.8k across the 135 of their papers we have counts for
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Cumulative Merging Percolation: A long-range percolation process in networks
Lorenzo Cirigliano, Giulio Cimini, Romualdo Pastor-Satorras +1
Percolation on networks is a common framework to model a wide range of processes, from cascading failures to epidemic spreading. Standard percolation assumes short-range interactio…
Cumulative Merging Percolation and the epidemic transition of the Susceptible-Infected-Susceptible model in networks
Claudio Castellano, Romualdo Pastor-Satorras
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 dist…
Random walks in non-Poissoinan activity driven temporal networks
Antoine Moinet, Michele Starnini, Romualdo Pastor-Satorras
The interest in non-Markovian dynamics within the complex systems community has recently blossomed, due to a new wealth of time-resolved data pointing out the bursty dynamics of ma…
Relevance of backtracking paths in epidemic spreading on networks
Claudio Castellano, Romualdo Pastor-Satorras
The understanding of epidemics on networks has greatly benefited from the recent application of message-passing approaches, which allow to derive exact results for irreversible spr…
Scale-free networks emerging from multifractal time series
Marcello A. Budroni, Andrea Baronchelli, Romualdo Pastor-Satorras
Methods connecting dynamical systems and graph theory have attracted increasing interest in the past few years, with applications ranging from a detailed comparison of different ki…
Slow relaxation dynamics and aging in random walks on activity driven temporal networks
Angélica S. Mata, Romualdo Pastor-Satorras
We investigate the dynamic relaxation of random walks on temporal networks by focusing in the recently proposed activity driven model [Perra \textit{et al.} Sci. Rep. srep00469 (20…
The lifespan method as a tool to study criticality in absorbing-state phase transitions
Angélica S. Mata, Marian Boguñá, Claudio Castellano +1
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 [Phys. Rev. Lett. \tex…
Temporal percolation in activity driven networks
Michele Starnini, Romualdo Pastor Satorras
We study the temporal percolation properties of temporal networks by taking as a representative example the recently proposed activity driven network model [N. Perra et al., Sci. R…
Topological properties of a time-integrated activity driven network
Michele Starnini, Romualdo Pastor Satorras
Here we consider the topological properties of the integrated networks emerging from the activity driven model [Perra at al. Sci. Rep. 2, 469 (2012)], a temporal network model rece…
Phase transitions with infinitely many absorbing states in complex networks
Renan S. Sander, Silvio C. Ferreira, Romualdo Pastor-Satorras
We instigate the properties of the threshold contact process (TCP), a process showing an absorbing-state phase transition with infinitely many absorbing states, on random complex n…
Ordering dynamics of the multi-state voter model
Michele Starnini, Andrea Baronchelli, Romualdo Pastor-Satorras
The voter model is a paradigm of ordering dynamics. At each time step, a random node is selected and copies the state of one of its neighbors. Traditionally, this state has been co…
Universal and non-universal features of the generalized voter class for ordering dynamics
Claudio Castellano, Romualdo Pastor-Satorras
By considering three different spin models belonging to the generalized voter class for ordering dynamics in two dimensions [I. Dornic, \textit{et al.} Phys. Rev. Lett. \textbf{87}…
Epidemic thresholds of the Susceptible-Infected-Susceptible model on networks: A comparison of numerical and theoretical results
Silvio C. Ferreira, Claudio Castellano, Romualdo Pastor-Satorras
Recent work has shown that different theoretical approaches to the dynamics of the Susceptible-Infected-Susceptible (SIS) model for epidemics lead to qualitatively different estima…
Random walks and search in time-varying networks
Nicola Perra, Andrea Baronchelli, Delia Mocanu +3
The random walk process underlies the description of a large number of real world phenomena. Here we provide the study of random walk processes in time varying networks in the regi…
Slow dynamics and rare-region effects in the contact process on weighted tree networks
Geza Odor, Romualdo Pastor-Satorras
We show that generic, slow dynamics can occur in the contact process on complex networks with a tree-like structure and a superimposed weight pattern, in the absence of additional…
Random walks on temporal networks
Michele Starnini, Andrea Baronchelli, Alain Barrat +1
Many natural and artificial networks evolve in time. Nodes and connections appear and disappear at various timescales, and their dynamics has profound consequences for any processe…
Percolation analysis of force networks in anisotropic granular matter
Romualdo Pastor-Satorras, M. -Carmen Miguel
We study the percolation properties of force networks in an anisotropic model for granular packings, the so-called q-model. Following the original recipe of Ostojic et al. [Nature…
Quasi-stationary simulations of the contact process on quenched networks
Silvio C. Ferreira, Ronan S. Ferreira, Claudio Castellano +1
We present high-accuracy quasi-stationary (QS) simulations of the contact process in quenched networks, built using the configuration model with both structural and natural cutoffs…
Quasi-stationary analysis of the contact process on annealed scale-free networks
Silvio C. Ferreira, Ronan S. Ferreira, Romualdo Pastor-Satorras
We present an analysis of the quasi-stationary (QS) state of the contact process (CP) on annealed scale-free networks using a mapping of the CP dynamics in a one-step processes and…
Complex networks and glassy dynamics: walks in the energy landscape
Paolo Moretti, Andrea Baronchelli, Alain Barrat +1
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 mi…
Voter models on weighted networks
Andrea Baronchelli, Claudio Castellano, Romualdo Pastor-Satorras
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. F…
Thresholds for epidemic spreading in networks
Claudio Castellano, Romualdo Pastor-Satorras
We study the threshold of epidemic models in quenched networks with degree distribution given by a power-law. For the susceptible-infected-susceptible (SIS) model the activity thre…
Steady-State Dynamics of the Forest Fire Model on Complex Networks
Jean-Daniel Bancal, Romualdo Pastor-Satorras
Many sociological networks, as well as biological and technological ones, can be represented in terms of complex networks with a heterogeneous connectivity pattern. Dynamical proce…
Mean-field diffusive dynamics on weighted networks
Andrea Baronchelli, Romualdo Pastor-Satorras
Diffusion is a key element of a large set of phenomena occurring on natural and social systems modeled in terms of complex weighted networks. Here, we introduce a general formalism…