On the origin of escort distributions for q-entropies
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arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866910521386598400 |
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| author | Kalogeropoulos, Nikolaos |
| author_facet | Kalogeropoulos, Nikolaos |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_07499 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the origin of escort distributions for q-entropies Kalogeropoulos, Nikolaos Statistical Mechanics General Relativity and Quantum Cosmology High Energy Physics - Theory Mathematical Physics Chaotic Dynamics 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. |
| title | On the origin of escort distributions for q-entropies |
| topic | Statistical Mechanics General Relativity and Quantum Cosmology High Energy Physics - Theory Mathematical Physics Chaotic Dynamics |
| url | https://arxiv.org/abs/2407.07499 |