An analogue of the prime number theorem for closed orbits of shifts of finite type and their suspensions
- 107 Downloads
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
Unable to display preview. Download preview PDF.