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arXiv · 0904.2375

The Zeta Function of a Periodic-Finite-Type Shift

Akiko Manada·Navin Kashyap
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Abstract

The class of periodic-finite-type shifts (PFT's) is a class of sofic shifts that strictly includes the class of shifts of finite type (SFT's), and the zeta function of a PFT is a generating function for the number of periodic sequences in the shift. In this paper, we derive a useful formula for the zeta function of a PFT. This formula allows the zeta function of a PFT to be computed more efficiently than the specialization of a formula known for a generic sofic shift

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Akiko Manada, Navin Kashyap. 2009-04-15. The Zeta Function of a Periodic-Finite-Type Shift. https://arxiv.org/abs/0904.2375

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