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Ranking nodes according to their path-complexity

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  • Caravelli, Francesco

Abstract

Thermalization is one of the most important phenomena in statistical physics. Often, the transition probabilities between different states in the phase space is or can be approximated by constants. In this case, the system can be described by Markovian transition kernels, and when the phase space is discrete, by Markov chains. In this paper, we introduce a macroscopic entropy on the states of paths of length k and, studying the recursion relation, obtain a fixed point entropy. This analysis leads to a centrality approach to Markov chains entropy.

Suggested Citation

  • Caravelli, Francesco, 2015. "Ranking nodes according to their path-complexity," Chaos, Solitons & Fractals, Elsevier, vol. 73(C), pages 90-97.
    • Handle: RePEc:eee:chsofr:v:73:y:2015:i:c:p:90-97
    DOI: 10.1016/j.chaos.2014.12.021
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    References listed on IDEAS

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    1. Bogacz, Leszek & Burda, Zdzisław & Wacław, Bartłomiej, 2006. "Homogeneous complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 366(C), pages 587-607.
    2. Passerini, Filippo & Severini, Simone, 2008. "The von Neumann entropy of networks," MPRA Paper 12538, University Library of Munich, Germany.
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