"A number that measures the degree to which the system's attractor "fills up" the space of states" (J. CASTI, 1994, p.1 01).
CASTI states: "The correlation dimension weights the points on the attractor according to how frequently they are visited… A telltale sign of chaos is when the correlation dimension turns to have a noninteger value much greater than 1" (Ibid).
Thus, in such a case, fractionary correlation implies deterministic randomness.
See: FEIGENBAUM's number.
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Bertalanffy Center for the Study of Systems Science (2020). Title of the entry. In Charles François (Ed.), International Encyclopedia of Systems and Cybernetics (2). Retrieved from www.systemspedia.org/[full/url]
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