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arXiv · 2407.07499

On the origin of escort distributions for q-entropies

Nikolaos Kalogeropoulos
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Abstract

We present an argument about the origin of escort distributions used in conjunction with the q-entropy in non-additive thermo-statistics. The origin of the escort distributions is ascribed to the fact that the effective statistical description of the underlying system is provided by the measured Gromov-Hausdorff limit of a sequence of manifolds having a warped product metric structure. We interpret the entropic parameter \ q \ appearing in escort distributions as a "dimension" related to the fibration structure of the underlying phase spaces.

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Nikolaos Kalogeropoulos. 2024-07-10. On the origin of escort distributions for q-entropies. https://arxiv.org/abs/2407.07499

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