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On the putative essential discreteness of q-generalized entropies

Author

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  • Plastino, A.
  • Rocca, M.C.

Abstract

It has been argued in Abe (2010), entitled Essential discreteness in generalized thermostatistics with non-logarithmic entropy, that ”continuous Hamiltonian systems with long-range interactions and the so-called q-Gaussian momentum distributions are seen to be outside the scope of non-extensive statistical mechanics”. The arguments are clever and appealing. We show here that, however, some mathematical subtleties render them unconvincing.

Suggested Citation

  • Plastino, A. & Rocca, M.C., 2017. "On the putative essential discreteness of q-generalized entropies," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 488(C), pages 56-59.
    • Handle: RePEc:eee:phsmap:v:488:y:2017:i:c:p:56-59
    DOI: 10.1016/j.physa.2017.07.006
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    Cited by:

    1. Kalogeropoulos, Nikolaos, 2020. "Toward a relative q-entropy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 545(C).
    2. Koponen, Ismo T. & Palmgren, Elina & Keski-Vakkuri, Esko, 2021. "Characterising heavy-tailed networks using q-generalised entropy and q-adjacency kernels," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 566(C).

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