On the origin of escort distributions for q-entropies
Statistical Mechanics
2024-07-11 v1 General Relativity and Quantum Cosmology
High Energy Physics - Theory
Mathematical Physics
math.MP
Chaotic Dynamics
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.
Keywords
Cite
@article{arxiv.2407.07499,
title = {On the origin of escort distributions for q-entropies},
author = {Nikolaos Kalogeropoulos},
journal= {arXiv preprint arXiv:2407.07499},
year = {2024}
}
Comments
10 pages. No figures. Standard LaTeX2e