A Comparative Study of Periods in a Periodic-Finite-Type Shift

2009 ◽  
Vol 23 (3) ◽  
pp. 1507-1524 ◽  
Author(s):  
Akiko Manada ◽  
Navin Kashyap
Mathematics ◽  
2020 ◽  
Vol 8 (5) ◽  
pp. 685
Author(s):  
Azmeer Nordin ◽  
Mohd Salmi Md Noorani

The prime orbit and Mertens’ orbit counting functions describe the growth of closed orbits in a discrete dynamical system in a certain way. In this paper, we prove the asymptotic behavior of these functions for a periodic-finite-type shift. The proof relies on the meromorphic extension of its Artin–Mazur zeta function.


2011 ◽  
Vol 57 (6) ◽  
pp. 3677-3691 ◽  
Author(s):  
Marie-Pierre Beal ◽  
Maxime Crochemore ◽  
Bruce E. Moision ◽  
Paul H. Siegel
Keyword(s):  

2020 ◽  
Author(s):  
Bruno Oliveira Ferreira de Souza ◽  
Éve‐Marie Frigon ◽  
Robert Tremblay‐Laliberté ◽  
Christian Casanova ◽  
Denis Boire

2001 ◽  
Vol 268 (6) ◽  
pp. 1739-1748
Author(s):  
Aitor Hierro ◽  
Jesus M. Arizmendi ◽  
Javier De Las Rivas ◽  
M. Angeles Urbaneja ◽  
Adelina Prado ◽  
...  

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