An analogue of the prime number theorem for closed orbits of shifts of finite type and their suspensions
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Following the classical procedure developed by Wiener and Ikehara for the proof of the prime number theorem we find an asymptotic formula for the number of closed orbits of a suspension of a shift of finite type when the suspended flow is topologically weak-mixing and when the suspending function is locally constant.
KeywordsZeta Function Asymptotic Formula Exceptional Case Finite Type Closed Orbit
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