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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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Main Authors: Akhadkulov, Habibulla, Saaban, Azizan, Md Noorani, Mohd Salmi, Akhatkulov, Sokhobiddin
Format: Article
Published: Pushpa Publishing House 2017
Subjects:
Q Science (General)
Online Access:http://repo.uum.edu.my/21961/
http://doi.org/10.17654/MS101030675
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spelling my.uum.repo.219612017-05-07T01:43:10Z http://repo.uum.edu.my/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
institution Universiti Utara Malaysia
building UUM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Utara Malaysia
content_source UUM Institutionali Repository
url_provider http://repo.uum.edu.my/
topic Q Science (General)
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
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.
format Article
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
title 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_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_sort necessary condition for the absolute continuity of invariant measure of circle maps with countably infinite number of break points
publisher Pushpa Publishing House
publishDate 2017
url http://repo.uum.edu.my/21961/
http://doi.org/10.17654/MS101030675
_version_ 1644283385609191424
score 13.15806

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