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

Demetris P.K. Ghikas and Fotios D. Oikonomou

Physica A: Statistical Mechanics and its Applications, 2018, vol. 510, issue C, 365-374

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.

Keywords: Complex systems; Generalized entropies; Information geometry (search for similar items in EconPapers)
Date: 2018
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:510:y:2018:i:c:p:365-374

DOI: 10.1016/j.physa.2018.06.113

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