# 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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