• Corpus ID: 174803097

Ihara Zeta Entropy

@article{Dutta2019IharaZE,
  title={Ihara Zeta Entropy},
  author={Supriyo Dutta and Partha Guha},
  journal={ArXiv},
  year={2019},
  volume={abs/1906.02514}
}
In this article, we introduce an entropy based on the formal power series expansion of the Ihara Zeta function. We find a number of inequalities based on the values of the Ihara zeta function. These new entropies are applicable in symbolic dynamics and the dynamics of billiards. 
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A System of Billiard and Its Application to Information-Theoretic Entropy
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The Ihara entropy is a weakly decomposable entropy whose composition law is given by the Lazard formal group law and fulfils the generalized Shannon-Khinchin axioms.
Elements of Generalized Tsallis Relative Entropy in Classical Information Theory
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A modification in the Sharma-Mittal entropy is proposed and distinguished and it is assisted to derive a number of information theoretic properties of the generalized Tsallis entropy, and related entropy, which include the sub-additive property, strong sub-added property, joint convexity, and information monotonicity.

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