4.3k citations · 28.3k across the 97 of their papers we have counts for
15 papers · 1 filter
Interdependent networks: the fragility of control
Richard G. Morris, Marc Barthelemy
Recent work in the area of interdependent networks has focused on interactions between two systems of the same type. However, an important and ubiquitous class of systems are those…
Transport on coupled spatial networks
Richard G. Morris, Marc Barthelemy
Transport processes on spatial networks are representative of a broad class of real world systems which, rather than being independent, are typically interdependent. We propose a m…
Fluctuation effects in metapopulation models: percolation and pandemic threshold
Marc Barthelemy, Claude Godreche, Jean-Marc Luck
Metapopulation models provide the theoretical framework for describing disease spread between different populations connected by a network. In particular, these models are at the b…
Weighted evolving networks: coupling topology and weights dynamics
Alain Barrat, Marc Barthelemy, Alessandro Vespignani
We propose a model for the growth of weighted networks that couples the establishment of new edges and vertices and the weights' dynamical evolution. The model is based on a simple…
Velocity and hierarchical spread of epidemic outbreaks in scale-free networks
Marc Barthelemy, Alain Barrat, Romualdo Pastor-Satorras +1
We study the effect of the connectivity pattern of complex networks on the propagation dynamics of epidemics. The growth time scale of outbreaks is inversely proportional to the ne…
Betweenness Centrality in Large Complex Networks
Marc Barthelemy
We analyze the betweenness centrality (BC) of nodes in large complex networks. In general, the BC is increasing with connectivity as a power law with an exponent . We find that…
Comment on: 'Universal Behavior of Load Distribution in Scale-free Networks'
Marc Barthelemy
In a previous Letter (cond-mat/0106565), Goh et al have presented a numerical study of the load--or betweenness centrality--distribution in a scale-free network whose degree distri…
Connectivity Distribution of Spatial Networks
Carl Herrmann, Marc Barthelemy, Paolo Provero
We study spatial networks constructed by randomly placing nodes on a manifold and joining two nodes with an edge whenever their distance is less than a certain cutoff. We derive th…
Crossover from Scale-Free to Spatial Networks
Marc Barthelemy
In many networks such as transportation or communication networks, distance is certainly a relevant parameter. In addition, real-world examples suggest that when long-range links a…
Spatial Structure of the Internet Traffic
Marc Barthelemy, Bernard Gondran, Eric Guichard
The Internet infrastructure is not virtual: its distribution is dictated by social, geographical, economical, or political constraints. However, the infrastructure's design does no…
Large Scale Cross-Correlations in Internet Traffic
Marc Barthelemy, Bernard Gondran, Eric Guichard
The Internet is a complex network of interconnected routers and the existence of collective behavior such as congestion suggests that the correlations between different connections…
Path Integral Approach to Strongly Nonlinear Composite
Marc Barthelemy
We study strongly nonlinear disordered media using a functional method. We solve exactly the problem of a nonlinear impurity in a linear host and we obtain a Bruggeman-like formula…
Functional Methods and Effective Potentials for Nonlinear Composites
Y. -P. Pellegrini, M. Barthelemy, G. Perrin
A formulation of variational principles in terms of functional integrals is proposed for any type of local plastic potentials. The minimization problem is reduced to the computatio…
Erratum: Small-world networks: Evidence for a crossover picture
Marc Barthelemy, Luis A. N. Amaral
We correct the value of the exponent τ.
A Path Integral Approach to Effective Non-Linear Medium
Marc Barthelemy, Henri Orland
In this article, we propose a new method to compute the effective properties of non-linear disordered media. We use the fact that the effective constants can be defined through the…