Groups, information theory, and Einstein's likelihood principle.

@article{Sicuro2016GroupsIT,
  title={Groups, information theory, and Einstein's likelihood principle.},
  author={Gabriele Sicuro and Piergiulio Tempesta},
  journal={Physical review. E},
  year={2016},
  volume={93},
  pages={
          040101
        }
}
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… 
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