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- W3100501412 abstract "We geometrically study the Legendre duality relation that plays an important role in statistical physics with the standard or generalized entropies. For this purpose, we introduce dualistic structure defined by information geometry, and discuss concepts arising in generalized thermostatistics, such as relative entropies, escort distributions and modified expectations. Further, a possible generalization of these concepts in a certain direction is also considered. Finally, as an application of such a geometric viewpoint, we briefly demonstrate several new results on a behavior of the solution to the nonlinear diffusion equation called the {em porous medium equation}." @default.
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- W3100501412 date "2009-05-13" @default.
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- W3100501412 title "Geometric study for the Legendre duality of generalized entropies and its application to the porous medium equation" @default.
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- W3100501412 doi "https://doi.org/10.1140/epjb/e2009-00170-y" @default.
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