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12 papers · 2 filters
Synchronization and modularity in complex networks
Alex Arenas, Albert Diaz-Guilera
We investigate the connection between the dynamics of synchronization and the modularity on complex networks. Simulating the Kuramoto's model in complex networks we determine patte…
Intrinsic versus super-rough anomalous scaling in spontaneous imbibition
M. Pradas, A. Hernández-Machado
We study spontaneous imbibition using a phase field model in a two dimensional system with a dichotomic quenched noise. By imposing a constant pressure at the origin, we…
Hysteresis behavior of the random-field Ising model with 2-spin-flip dynamics: Exact results on a Bethe lattice
Xavier Illa, Martin-Luc Rosinberg, Gilles Tarjus
We present an exact treatment of the hysteresis behavior of the zero-temperature random-field Ising model on a Bethe lattice when it is driven by an external field and evolved acco…
Correlations in weighted networks
M. Angeles Serrano, Marian Boguna, Romualdo Pastor-Satorras
We develop a statistical theory to characterize correlations in weighted networks. We define the appropriate metrics quantifying correlations and show that strictly uncorrelated we…
Clustering in complex networks. II. Percolation properties
M. Angeles Serrano, Marian Boguna
The percolation properties of clustered networks are analyzed in detail. In the case of weak clustering, we present an analytical approach that allows to find the critical threshol…
Clustering in complex networks. I. General formalism
M. Angeles Serrano, Marian Boguna
We develop a full theoretical approach to clustering in complex networks. A key concept is introduced, the edge multiplicity, that measures the number of triangles passing through…