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Kilichovich, Karshiboev Khayrullo
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Limit Theorem for the Hit Time of Mappings of a Circle with Break Kilichovich, Karshiboev Khayrullo
International Journal on Integrated Education Vol. 6 No. 4 (2023): International Journal on Integrated Education (IJIE)
Publisher : Researchparks Publishing

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31149/ijie.v6i4.4235

Abstract

In this paper, it is proved the limit theorem for distribution functions , of th entrance times in .
On a Family of Circle Homeomohphisms with One Break Point Kilichovich, Karshiboev Khayrullo
International Journal on Integrated Education Vol. 5 No. 4 (2022): IJIE
Publisher : Researchparks Publishing

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31149/ijie.v5i4.2975

Abstract

this article, we study a one-parameter family of circle homeomorphisms with one break point. It is proved that in the case of a rational rotation number the number of periodic trajectories does not exceed two.