Groups, information theory, and Einstein's likelihood principle
Data(s) |
06/04/2016
|
---|---|
Resumo |
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. |
Formato |
application/pdf |
Identificador | |
Idioma(s) |
en |
Publicador |
American Physical Society |
Relação |
http://eprints.ucm.es/37640/ http://dx.doi.org/10.1103/PhysRevE.93.040101 10.1103/PhysRevE.93.040101 FIS2015-63966 SEV-2015- 0554 |
Direitos |
info:eu-repo/semantics/openAccess |
Palavras-Chave | #Física-Modelos matemáticos |
Tipo |
info:eu-repo/semantics/article PeerReviewed |