The Zeta Function of a Periodic-Finite-Type Shift
Information Theory
2009-04-16 v1 math.IT
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
Keywords
Cite
@article{arxiv.0904.2375,
title = {The Zeta Function of a Periodic-Finite-Type Shift},
author = {Akiko Manada and Navin Kashyap},
journal= {arXiv preprint arXiv:0904.2375},
year = {2009}
}
Comments
To appear in Proceedings of the 2009 IEEE International Symposium on Information Theory (ISIT'09); 5 pages