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Geometric study for the Legendre duality of generalized entropies and its application to the porous medium equation

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  • A. Ohara

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  • A. Ohara, 2009. "Geometric study for the Legendre duality of generalized entropies and its application to the porous medium equation," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 70(1), pages 15-28, July.
    • Handle: RePEc:spr:eurphb:v:70:y:2009:i:1:p:15-28
    DOI: 10.1140/epjb/e2009-00170-y
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    Cited by:

    1. Vasile Preda & Luigi-Ionut Catana, 2021. "Tsallis Log-Scale-Location Models. Moments, Gini Index and Some Stochastic Orders," Mathematics, MDPI, vol. 9(11), pages 1-22, May.
    2. Bercher, J.-F., 2013. "Some properties of generalized Fisher information in the context of nonextensive thermostatistics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(15), pages 3140-3154.
    3. Amari, Shun-ichi & Ohara, Atsumi & Matsuzoe, Hiroshi, 2012. "Geometry of deformed exponential families: Invariant, dually-flat and conformal geometries," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(18), pages 4308-4319.

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