Community characterization of heterogeneous complex systems

Michele Tumminello, Fabrizio Lillo, Salvatore Micciche', Rosario Nunzio Mantegna, Jan Varho, Fabrizio Lillo, Jyrki Piilo, Michele Tumminello

Research output: Contribution to journalArticlepeer-review

38 Citations (Scopus)


We introduce an analytical statistical method for characterizing the communities detected in heterogeneous complex systems. By proposing a suitable null hypothesis, our method makes use of the hypergeometric distribution to assess the probability that a given property is over-expressed in the elements of a community with respect to all the elements of the investigated set. We apply our method to two specific complex networks, namely a network of world movies and a network of physics preprints. The characterization of the elements and of the communities is done in terms of languages and countries for the movie network and of journals and subject categories for papers. We find that our method is able to characterize clearly the communities identified. Moreover our method works well both for large and for small communities.
Original languageEnglish
Pages (from-to)P01019-
Number of pages14
JournalJournal of Statistical Mechanics: Theory and Experiment
Publication statusPublished - 2011

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Statistics, Probability and Uncertainty


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