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On a Possible Crisis Fractality

In: Economic Resilience During Overlapped Crises

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  • Emil Dinga

    (Romanian Academy)

Abstract

The chapter aims to provide a short debate on the possibility of discussing the property of fractality in relation to the concept of (societal) crisis. To this end, firstly is discussed the concept (property) of similarity, and its species, self-similarity, to identify a connection with the topological property of fractality. In this context, a relatively detailed examination of self-similarity, including its typology in space, time, structure, etc., is developed. It is shown, then, that only two species of self-similarity can be associated with the fractality in the case of crisis, namely the crisis as chreode (the mark γ) and the crisis as signification (the mark ε), and the five sub-species of each of the two marks are analytically examined from the perspective of fractality. Regarding the cases of crises overlapping, three kinds of overlapping are established: (a) immiscible; (b) conservative; (c) transformative. In this context, a methodology to calculate the fractal dimension of crisis (FDC) is proposed, firstly for an isolated crisis, then for the case of crises overlapping. Inter alia, it is shown that the relation of similarity describes an algebraic relation of equivalence.

Suggested Citation

  • Emil Dinga, 2025. "On a Possible Crisis Fractality," Springer Books, in: Economic Resilience During Overlapped Crises, chapter 0, pages 311-347, Springer.
    • Handle: RePEc:spr:sprchp:978-3-031-80224-9_6
    DOI: 10.1007/978-3-031-80224-9_6
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