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Paolo De los Rios

Publications and source records attributed to Paolo De los Rios.

4 recordsLinked to original sources

Role of clustering and gridlike ordering in epidemic spreading.

The spreading of an epidemic is determined by the connectivity patterns which underlie the population. While it has been noted that a virus spreads more easily on a network in which global distances are small, it remains a great challenge to find approaches that unravel the precise role of local interconnectedness. Such topological properties enter very naturally in the framework of our two-time-step description, also providing an approach to track a probabilistic system. The method is elaborated for SIS-type epidemic processes, leading to a quantitative interpretation of the role of loops up to length 4 in the onset of an epidemic.

Cluster Analysis↗

Scale-free behavior and universality in random fragmentation and aggregation.

Two distinct mechanisms underlying the existence of power-law distributions are presented: the distribution is stationary under the process of merging and splitting of classes and the distribution of the entities under study is invariant under changes of the classification scheme. We provide an explanation for the ubiquitous inverse n relationship in the species abundance relationship in ecology and the 1/n(2) distribution of company sizes based on the minimum impact principle.

Journal Article↗

Widespread occurrence of the inverse square distribution in social sciences and taxonomy.

The widespread occurrence of an inverse square relation in the hierarchical distribution of subcommunities within communities (or subspecies within species) has been recently invoked as a signature of hierarchical self-organization within social and ecological systems. Here we show that, whether such systems are self-organized or not, this behavior is the consequence of the treelike classification method. Different treelike classifications (both of real and truly random systems) display a similar statistical behavior when considering the sizes of their sub-branches.

Journal Article↗

Quantitative description and modeling of real networks.

We present data analysis and modeling of two particular cases of study in the field of growing networks. We analyze World Wide Web data set and authorship collaboration networks in order to check the presence of correlation in the data. The results are reproduced with good agreement through a suitable modification of the standard Albert-Barabási model of network growth. In particular, intrinsic relevance of sites plays a role in determining the future degree of the vertex.

Journal Article↗