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Towards an information geometric characterization/classification of complex systems. II. Critical parameter values from the (c,d)-manifold

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  • Ghikas, Demetris P.K.
  • Oikonomou, Fotios D.

Abstract

In our previous paper (I) we derived information geometric objects from the two parameter generalized entropy of Hanel and Thurner (2011), using the c,d parameters as labels of the corresponding manifolds. Here we follow a completely different approach by considering these parameters as coordinates of a single information manifold. This gives a manageable two-dimensional manifold amenable to easy manipulations but most importantly it offers a direct characterization of complex systems in terms of the pair of the c,d values. As a result we obtain certain characteristic values from the scalar curvature which we could conjecture that they represent complex systems with specific behavior. It is further observed that the boundary values of the c,d parameters which characterize the Hanel–Thurner classification are in some sense singular. This asks for a regularization scheme which we try to establish.

Suggested Citation

  • Ghikas, Demetris P.K. & Oikonomou, Fotios D., 2018. "Towards an information geometric characterization/classification of complex systems. II. Critical parameter values from the (c,d)-manifold," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 510(C), pages 365-374.
    • Handle: RePEc:eee:phsmap:v:510:y:2018:i:c:p:365-374
    DOI: 10.1016/j.physa.2018.06.113
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    Cited by:

    1. López-Picón, J.L. & López-Vega, J. Manuel, 2021. "Information geometry for the strongly degenerate ideal Bose–Einstein fluid," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 580(C).

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