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- Alex Arenas, Albert Díaz-Guilera, Conrad J Pérez-Vicente
- Physical review letters
- 2006

We study the relationship between topological scales and dynamic time scales in complex networks. The analysis is based on the full dynamics towards synchronization of a system of coupled oscillators. In the synchronization process, modular structures corresponding to well-defined communities of nodes emerge in different time scales, ordered in a… (More)

We present an extended analysis, based on the dynamics towards synchronization of a system of coupled oscillators, of the hierarchy of communities in complex networks. In the synchronization process, different structures corresponding to well defined communities of nodes appear in a hierarchical way. The analysis also provides a useful connection between… (More)

- Oriol Pont, Antonio Turiel, Conrad J Pérez-Vicente
- Physical review. E, Statistical, nonlinear, and…
- 2006

The design of appropriate multifractal analysis algorithms, able to correctly characterize the scaling properties of multifractal systems from experimental, discretized data, is a major challenge in the study of such scale invariant systems. In the recent years, a growing interest for the application of the microcanonical formalism has taken place, as it… (More)

- Albert Dı́az-Guilera, Conrad J. Perez-Vicente, Alex Arenas
- 1998

We study the dynamical behavior of an ensemble of oscillators interacting through short range bidirectional pulses. The geometry is 1D with periodic boundary conditions. Our interest is twofold. To explore the conditions required to reach fully synchronization and to invewstigate the time needed to get such state. We present both theoretical and numerical… (More)

We study the coupled dynamics of primary and secondary structure formation (i.e. slow genetic sequence selection and fast folding) in the context of a solvable microscopic model that includes both short-range steric forces and and long-range polarity-driven forces. Our solution is based on the diagonalization of replicated transfer matrices, and leads in… (More)

It has been recently noticed that time series of returns in stock markets are of multifractal (multiscaling) character. In that context, multifractality has been always evidenced by its statistical signature (i.e., the scaling exponents associated to a related variable). However, a direct geometrical framework, much more revealing about the underlying… (More)

We study the coupled dynamics of primary and secondary structures formation (i.e. slow-genetic sequence selection and fast folding) in the context of a solvable microscopic model that includes both short-range steric forces and long-range polarity-driven forces. Our solution is based on the diagonalization of replicated transfer matrices, and leads in the… (More)

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