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Markov chains or the game of structure and chance

From complex networks, to language evolution, to musical compositions
  • Ph. Blanchard
  • J.R. Dawin
  • D. Volchenkov
Article

Abstract.

Markov chains provide us with a powerful tool for studying the structure of graphs and databases in details. We review the method of generalized inverses for Markov chains and apply it for the analysis of urban structures, evolution of languages, and musical compositions. We also discuss a generalization of Lévy flights over large complex networks and study the interplay between the nonlinearity of diffusion process and the topological structure of the network.

Keywords

Markov Chain Directed Graph European Physical Journal Special Topic Generalize Inverse Language Family 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© EDP Sciences and Springer 2010

Authors and Affiliations

  1. 1.Department of PhysicsUniversity of BielefeldBielefeldGermany
  2. 2.Center of Excellence Cognitive Interaction Technology (CITEC)University of BielefeldBielefeldGermany

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