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Ihara Zeta Entropy

Mathematical Physics 2019-06-07 v1 Discrete Mathematics Information Theory Combinatorics Dynamical Systems math.IT math.MP

Abstract

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.

Cite

@article{arxiv.1906.02514,
  title  = {Ihara Zeta Entropy},
  author = {Supriyo Dutta and Partha Guha},
  journal= {arXiv preprint arXiv:1906.02514},
  year   = {2019}
}

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R2 v1 2026-06-23T09:45:06.690Z