A necessary condition for the absolute continuity of invariant measure of circle maps with countably infinite number of break points
Let f be a circle homeomorphism with countably many break points that is, differentiable except in countably many points where the derivatives have a jump. Assuming its rotation number ρ to be irrational, we provide a necessary condition for the absolute continuity of invariant measure with respect...
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| Format: | Article |
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Pushpa Publishing House
2017
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| author | Akhadkulov, Habibulla Saaban, Azizan Md Noorani, Mohd Salmi Akhatkulov, Sokhobiddin |
| author_facet | Akhadkulov, Habibulla Saaban, Azizan Md Noorani, Mohd Salmi Akhatkulov, Sokhobiddin |
| author_sort | Akhadkulov, Habibulla |
| collection | UUM |
| description | Let f be a circle homeomorphism with countably many break points that is, differentiable except in countably many points where the derivatives have a jump. Assuming its rotation number ρ to be irrational, we provide a necessary condition for the absolute continuity of invariant measure with respect to the Lebesgue measure. |
| first_indexed | 2024-07-04T06:19:15Z |
| format | Article |
| id | uum-21961 |
| institution | Universiti Utara Malaysia |
| last_indexed | 2024-07-04T06:19:15Z |
| publishDate | 2017 |
| publisher | Pushpa Publishing House |
| record_format | eprints |
| spelling | uum-219612017-05-07T01:43:10Z https://repo.uum.edu.my/id/eprint/21961/ A necessary condition for the absolute continuity of invariant measure of circle maps with countably infinite number of break points Akhadkulov, Habibulla Saaban, Azizan Md Noorani, Mohd Salmi Akhatkulov, Sokhobiddin Q Science (General) Let f be a circle homeomorphism with countably many break points that is, differentiable except in countably many points where the derivatives have a jump. Assuming its rotation number ρ to be irrational, we provide a necessary condition for the absolute continuity of invariant measure with respect to the Lebesgue measure. Pushpa Publishing House 2017 Article PeerReviewed Akhadkulov, Habibulla and Saaban, Azizan and Md Noorani, Mohd Salmi and Akhatkulov, Sokhobiddin (2017) A necessary condition for the absolute continuity of invariant measure of circle maps with countably infinite number of break points. Far East Journal of Mathematical Sciences (FJMS), 101 (3). pp. 675-688. ISSN 09720871 http://doi.org/10.17654/MS101030675 doi:10.17654/MS101030675 doi:10.17654/MS101030675 |
| spellingShingle | Q Science (General) Akhadkulov, Habibulla Saaban, Azizan Md Noorani, Mohd Salmi Akhatkulov, Sokhobiddin A necessary condition for the absolute continuity of invariant measure of circle maps with countably infinite number of break points |
| title | A necessary condition for the absolute continuity of invariant measure of circle maps with countably infinite number of break points |
| title_full | A necessary condition for the absolute continuity of invariant measure of circle maps with countably infinite number of break points |
| title_fullStr | A necessary condition for the absolute continuity of invariant measure of circle maps with countably infinite number of break points |
| title_full_unstemmed | A necessary condition for the absolute continuity of invariant measure of circle maps with countably infinite number of break points |
| title_short | A necessary condition for the absolute continuity of invariant measure of circle maps with countably infinite number of break points |
| title_sort | necessary condition for the absolute continuity of invariant measure of circle maps with countably infinite number of break points |
| topic | Q Science (General) |
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