Communities, Knowledge Creation, and Information Diffusion (2009)
In this paper, we examine how patterns of scientific collaboration contribute to knowledge creation. Recent studies have shown that scientists can benefit from their position within collaborative...
Line Graphs, Link Partitions and Overlapping Communities (2009)
In this paper, we use a partition of the links of a network in order to uncover its community structure. This approach allows for communities to overlap at nodes, so that nodes may be in more than...
Laplacian Dynamics and Multiscale Modular Structure in Networks (2008)
Most methods proposed to uncover communities in complex networks rely on their structural properties. Here we introduce the stability of a network partition, a measure of its quality defined in terms...
The Role of Second Trials in Cascades of Information over Networks (2008)
De Kerchove, C., Krings, G., Lambiotte, R., Blondel, V. D., Van Dooren, P.
We study the propagation of information in social networks. To do so, we focus on a cascade model where nodes are infected with {probability $p_1$ after their first contact with the information and...
Dynamics of Non-Conservative Voters (2007)
We study a family of opinion formation models in one dimension where the propensity for a voter to align with its local environment depends non-linearly on the fraction of disagreeing neighbors....
Ausloos, M., Lambiotte, R., Scharnhorst, A., Hellsten, I.
Old and recent theoretical works by Andrzej Pekalski (APE) are recalled as possible sources of interest for describing network formation and clustering in complex (scientific) communities, through...
Dynamics of Vacillating Voters (2007)
We introduce the vacillating voter model in which each voter consults two neighbors to decide its state, and changes opinion if it disagrees with either neighbor. This irresolution leads to a global...
Local Leaders in Random Networks (2007)
Blondel, V. D., Hendrickx, J. M., De Kerchove, C., Lambiotte, R.
We consider local leaders in random uncorrelated networks, i.e. nodes whose degree is higher or equal than the degree of all of their neighbors. An analytical expression is found for the probability...
Word statistics in Blogs and RSS feeds: Towards empirical universal evidence (2007)
Lambiotte, R., Ausloos, M., Thelwall, M.
We focus on the statistics of word occurrences and of the waiting times between such occurrences in Blogs. Due to the heterogeneity of words' frequencies, the empirical analysis is performed by...
Coexistence of opposite opinions in a network with communities (2007)
The Majority Rule is applied to a topology that consists of two coupled random networks, thereby mimicking the modular structure observed in social networks. We calculate analytically the asymptotic...
How does degree heterogeneity affect an order-disorder transition? (2007)
We focus on the role played by the node degree distribution on the way collective phenomena emerge on complex networks. To address this question, we focus analytically on a typical model for...
Activity ageing in growing networks (2007)
We present a model for growing information networks where the ageing of a node depends on the time at which it entered the network and on the last time it was cited. The model is shown to undergo a...
Majority Model on a network with communities (2006)
Lambiotte, R., Ausloos, M., Holyst, J.
We focus on the majority model in a topology consisting of two coupled fully-connected networks, thereby mimicking the existence of communities in social networks. We show that a transition takes...
Growing network with j-redirection (2006)
A model for growing information networks is introduced where nodes receive new links through j-redirection, i.e. the probability for a node to receive a link depends on the number of paths of length...
Clusters or networks of economies? A macroeconomy study through GDP fluctuation correlations (2006)
We follow up on the study of correlations between GDP's of rich countries. We analyze web-downloaded data on GDP that we use as individual wealth signatures of the country economical state. We...
On high-energy tails in inelastic gases (2006)
We study the formation of high-energy tails in a one-dimensional kinetic model for granular gases, the so-called Inelastic Maxwell Model. We introduce a time-discretized version of the stochastic...
Collaborative tagging as a tripartite network (2005)
We describe online collaborative communities by tripartite networks, the nodes being persons, items and tags. We introduce projection methods in order to uncover the structures of the networks, i.e....
Energy and number of collisions fluctuations in inelastic gases (2005)
Lambiotte, R., Ausloos, M., Salazar, J. M.
We study by numerical simulations the two-dimensional Inelastic Maxwell Model (IMM), and show how the inelasticity of collisions together with the fluctuations of the number of collisions undergone...
On high energy tails in inelastic gases (2005)
Lambiotte, R., Brenig, L., Salazar, J. M.
We study the formation of high energy tails in a one-dimensional kinetic model for granular gases, the so-called Inelastic Maxwell Model. We introduce a time- discretized version of the stochastic...
On the genre-fication of Music: a percolation approach (long version) (2005)
In this paper, we analyze web-downloaded data on people sharing their music library. By attributing to each music group usual music genres (Rock, Pop...), and analysing correlations between music...
Time-evolving distribution of time lags between commercial airline disasters (2005)
We have studied the time lags between commercial line airplane disasters and their occurrence frequency till 2002, as obtained from a freely available website. We show that the time lags seem to be...
Endo- vs. Exo-genous shocks and relaxation rates in book and music "sales" (2005)
In this paper, we analyze the response of music and book sales to an external field and to buyer herding. We distinguish endogenous and exogenous shocks. We focus on some case studies, whose data...
Granular Matter: a wonderful world of clusters in far-from-equilibrium systems (2005)
Ausloos, M., Lambiotte, R., Trojan, K., Koza, Z., Pekala, M.
In this paper, we recall various features of non equilibrium granular systems. Clusters with specific properties are found depending on the packing density, going from loose (a granular gas) to...
Energy non-equipartition in multicomponent granular mixtures (2005)
We study non-equipartition of energy in granular fluids composed by an arbitrarily large number of components. We focus on a simple mean field model, based upon a Maxwell collision operator kernel,...
A Brownian particle having a fluctuating mass (2005)
We focus on the dynamics of a Brownian particle whose mass fluctuates. First we show that the behaviour is similar to that of a Brownian particle moving in a fluctuating medium, as studied by Beck...
Uncovering collective listening habits and music genres in bipartite networks (2005)
In this paper, we analyze web-downloaded data on people sharing their music library, that we use as their individual musical signatures (IMS). The system is represented by a bipartite network, nodes...
From sand to networks: a study of multi-disciplinarity (2005)
In this paper, we study empirically co-authorship networks of neighbouring scientific disciplines, and describe the system by two coupled networks. By considering a large time window, we focus on the...
Truncated Levy distributions in an inelastic gas (2005)
We study a one-dimensional model for granular gases, the so-called Inelastic Maxwell Model. We show theoretically the existence of stationary solutions of the unforced case, that are characterized by...
From particle segregation to the granular clock (2005)
Lambiotte, R., Salazar, J. M., Brenig, L.
Recently several authors studied the segregation of particles for a system composed of mono-dispersed inelastic spheres contained in a box divided by a wall in the middle. The system exhibited a...
N-body decomposition of bipartite networks (2005)
In this paper, we present a method to project co-authorship networks, that accounts in detail for the geometrical structure of scientists collaborations. By restricting the scope to 3-body...