Counting Closed Orbits for the Dyck Shift
The prime orbit theorem and Mertens’ theorem are proved for a shift dynamical system of infinite type called the Dyck shift. Different and more direct methods are used in the proof without any complicated theoretical discussion.
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/304798 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849413477290999808 |
|---|---|
| author | Fahad Alsharari Mohd Salmi Md. Noorani Habibulla Akhadkulov |
| author_facet | Fahad Alsharari Mohd Salmi Md. Noorani Habibulla Akhadkulov |
| author_sort | Fahad Alsharari |
| collection | DOAJ |
| description | The prime orbit theorem and Mertens’ theorem are proved for a shift dynamical system of infinite type called the Dyck shift. Different and more direct methods are used in the proof without any complicated theoretical discussion. |
| format | Article |
| id | doaj-art-6f0c85e4c0fe448ba644d7400a56d301 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-6f0c85e4c0fe448ba644d7400a56d3012025-08-20T03:34:05ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/304798304798Counting Closed Orbits for the Dyck ShiftFahad Alsharari0Mohd Salmi Md. Noorani1Habibulla Akhadkulov2School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 Bangi, Selangor, MalaysiaSchool of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 Bangi, Selangor, MalaysiaSchool of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 Bangi, Selangor, MalaysiaThe prime orbit theorem and Mertens’ theorem are proved for a shift dynamical system of infinite type called the Dyck shift. Different and more direct methods are used in the proof without any complicated theoretical discussion.http://dx.doi.org/10.1155/2014/304798 |
| spellingShingle | Fahad Alsharari Mohd Salmi Md. Noorani Habibulla Akhadkulov Counting Closed Orbits for the Dyck Shift Abstract and Applied Analysis |
| title | Counting Closed Orbits for the Dyck Shift |
| title_full | Counting Closed Orbits for the Dyck Shift |
| title_fullStr | Counting Closed Orbits for the Dyck Shift |
| title_full_unstemmed | Counting Closed Orbits for the Dyck Shift |
| title_short | Counting Closed Orbits for the Dyck Shift |
| title_sort | counting closed orbits for the dyck shift |
| url | http://dx.doi.org/10.1155/2014/304798 |
| work_keys_str_mv | AT fahadalsharari countingclosedorbitsforthedyckshift AT mohdsalmimdnoorani countingclosedorbitsforthedyckshift AT habibullaakhadkulov countingclosedorbitsforthedyckshift |