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Ihara Zeta Entropy (1906.02514v1)
Published 6 Jun 2019 in math-ph, cs.DM, cs.IT, math.CO, math.DS, math.IT, and 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.