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Entropy driven transformations of statistical hypersurfaces

Deformations of geometric characteristics of statistical hypersurfaces governed by the law of growth of entropy are studied. Both general and special cases of deformations are considered. The basic structure of the statistical hypersurface is explored through a differential relation for the variables, and connections with the replicator dynamics for Gibbs' weights are highlighted. Ideal and super-ideal cases are analysed, also considering their integral characteristics.

preprint2020arXivOpen access
Mario AngelelliBoris Konopelchenko
math-phmath.MP
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Open access2 authors2 topics
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Mario AngelelliBoris Konopelchenko

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