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Full-Text Articles in Physics
Multirelational Organization Of Large-Scale Social Networks In An Online World, Renaud Lambiotte
Multirelational Organization Of Large-Scale Social Networks In An Online World, Renaud Lambiotte
Renaud Lambiotte
The capacity to collect fingerprints of individuals in online media has revolutionized the way researchers explore human society. Social systems can be seen as a nonlinear superposition of a multitude of complex social networks, where nodes represent individuals and links capture a variety of different social relations. Much emphasis has been put on the network topology of social interactions, however, the multidimensional nature of these interactions has largely been ignored, mostly because of lack of data. Here, for the first time, we analyze a complete, multirelational, large social network of a society consisting of the 300,000 odd players of a …
Fast Unfolding Of Community Hierarchies In Large Networks, Vincent D. Blondel, Jean-Loup Guillaume, Renaud Lambiotte, Etienne Lefebre
Fast Unfolding Of Community Hierarchies In Large Networks, Vincent D. Blondel, Jean-Loup Guillaume, Renaud Lambiotte, Etienne Lefebre
Renaud Lambiotte
Social, technological and information systems can often be described in terms of complex networks that have a topology of interconnected nodes that combines organization and randomness. The typical size of large networks such as social network services, mobile phone networks or the web now counts in millions when not billions of nodes and these scales demand new methods to retrieve comprehensive information from their structure. A promising approach consists in decomposing the networks into sub-units or communities, which are sets of highly connected nodes. The identification of these communities is of crucial importance as they may help to uncover a-priori …
Dynamics Of Vacillating Voters, Renaud Lambiotte, Sidney Redner
Dynamics Of Vacillating Voters, Renaud Lambiotte, Sidney Redner
Renaud Lambiotte
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 bias toward zero magnetization. In spatial dimension $d>1$, anti-coarsening arises in which the linear dimension $L$ of minority domains grows as $t^{1/(d+1)}$. One consequence is that the time to reach consensus scales exponentially with the number of voters.
A Brownian Particle Having A Fluctuating Mass, Marcel Ausloos, Renaud Lambiotte
A Brownian Particle Having A Fluctuating Mass, Marcel Ausloos, Renaud Lambiotte
Renaud Lambiotte
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. By performing numerical simulations of the Langevin equation, we check the theoretical predictions derived in the adiabatic limit, and study deviations outside this limit. We compare the mass velocity distribution with truncated Tsallis distributions and find excellent agreement if the masses are chi-squared distributed. We also consider the diffusion of the Brownian particle by studying a Bernoulli random walk with fluctuating walk length in one …