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19952023
most citedEpidemic spreading in scale-free networks

5.8k citations · 41.4k across the 111 of their papers we have counts for

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53 papers · 1 filter

cond-mat.stat-mech2012★ 191 cited

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…

cond-mat.stat-mech2008★ 11 cited

Comment on ``Self-organized criticality and absorbing states: Lessons from the Ising model"

Mikko J. Alava, Lasse Laurson, Alessandro Vespignani +1

According to Pruessner and Peters [Phys. Rev. E {\bf 73}, 025106(R) (2006)], the finite size scaling exponents of the order parameter in sandpile models depend on the tuning of dri…

cond-mat.stat-mech2007★ 886 cited

Reaction-diffusion processes and metapopulation models in heterogeneous networks

V. Colizza, R. Pastor-Satorras, A. Vespignani

Dynamical reaction-diffusion processes and meta-population models are standard modeling approaches for a wide variety of phenomena in which local quantities - such as density, pote…

cond-mat.stat-mech2004★ 371 cited

Characterization and Modeling of weighted networks

Marc Barthelemy, Alain Barrat, Romualdo Pastor-Satorras +1

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…

cond-mat.stat-mech2004★ 37 cited

A statistical approach to the traceroute-like exploration of networks: theory and simulations

Luca Dall'Asta, Ignacio Alvarez-Hamelin, Alain Barrat +2

Mapping the Internet generally consists in sampling the network from a limited set of sources by using "traceroute"-like probes. This methodology, akin to the merging of different…

cond-mat.stat-mech2004★ 303 cited

Modeling the evolution of weighted networks

Alain Barrat, Marc Barthelemy, Alessandro Vespignani

We present a general model for the growth of weighted networks in which the structural growth is coupled with the edges' weight dynamical evolution. The model is based on a simple…