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Título:
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Groups, information theory, and Einstein's likelihood principle
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Autores:
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Sicuro, Gabriele ;
Tempesta, Piergiulio
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Tipo de documento:
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texto impreso
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Editorial:
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American Physical Society, 2016-04-06
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Dimensiones:
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application/pdf
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Nota general:
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info:eu-repo/semantics/openAccess
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Idiomas:
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Física: Física-Modelos matemáticos
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Tipo = Artículo
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Resumen:
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We propose a unifying picture where the notion of generalized entropy is related to information theory by means of a group-theoretical approach. The group structure comes from the requirement that an entropy be well defined with respect to the composition of independent systems, in the context of a recently proposed generalization of the Shannon-Khinchin axioms. We associate to each member of a large class of entropies a generalized information measure, satisfying the additivity property on a set of independent systems as a consequence of the underlying group law. At the same time, we also show that Einstein's likelihood function naturally emerges as a byproduct of our informational interpretation of (generally nonadditive) entropies. These results confirm the adequacy of composable entropies both in physical and social science contexts.
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En línea:
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https://eprints.ucm.es/37640/1/tempesta26libre.pdf
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