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Ihara Zeta Entropy

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arxiv 1906.02514 v1 pith:JPE6VYYZ submitted 2019-06-06 math-ph cs.DMcs.ITmath.COmath.DSmath.ITmath.MP

Supriyo Dutta , Partha Guha This is my paper · ORCID
classification math-phcs.DMcs.ITmath.COmath.DSmath.ITmath.MP
keywords iharazetadynamicsentropyfunctionapplicablearticlebilliards
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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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  1. A two-parameter entropy and its fundamental properties

    math-ph 2019-08 reject novelty 2.0 of 10

    The proposed two-parameter entropy reduces, by the paper's own formulas, to the one-parameter Tsallis entropy S_q with q=2k+1, independent of r.

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