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arxiv: 1906.02514 · v1 · pith:JPE6VYYZnew · submitted 2019-06-06 · 🧮 math-ph · cs.DM· cs.IT· math.CO· math.DS· math.IT· math.MP

Ihara Zeta Entropy

classification 🧮 math-ph cs.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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