Reply to "Comment on 'Route from discreteness to the continuum for the Tsallis q-entropy' ".
Where this comes from
- Record sourced from PubMed, PMID 30011583.
- Also identified by DOI 10.1103/PhysRevE.97.066102.
- No licence information is recorded for this record.
- Because redistribution is not established, this page shows the abstract only. Follow the links below for the full text.
Abstract
It has been known for some time that the usual q-entropy S_{q}^{(n)} cannot be shown to converge to the continuous case. In Phys. Rev. E 97, 012104 (2018)PREHBM2470-004510.1103/PhysRevE.97.012104, we have shown that the discrete q-entropy S[over ̃]_{q}^{(n)} converges to the continuous case when the total number of states are properly taken into account in terms of a convergence factor. Ou and Abe [previous Comment, Phys. Rev. E 97, 066101 (2018)10.1103/PhysRevE.97.066101] noted that this form of the discrete q-entropy does not conform to the Shannon-Khinchin expandability axiom. As a reply, we note that the fulfillment or not of the expandability property by the discrete q-entropy strongly depends on the origin of the convergence factor, presenting an example in which S[over ̃]_{q}^{(n)} is expandable.