Generalized entropies and logarithms and their duality relations

  title={Generalized entropies and logarithms and their duality relations},
  author={Rudolf Hanel and Stefan Thurner and Murray Gell-Mann},
  journal={Proceedings of the National Academy of Sciences},
  pages={19151 - 19154}
For statistical systems that violate one of the four Shannon–Khinchin axioms, entropy takes a more general form than the Boltzmann–Gibbs entropy. The framework of superstatistics allows one to formulate a maximum entropy principle with these generalized entropies, making them useful for understanding distribution functions of non-Markovian or nonergodic complex systems. For such systems where the composability axiom is violated there exist only two ways to implement the maximum entropy… 
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