Published September 30, 2023 | Version v1
Journal article Open

THEOREM ABOUT THE DECENT FRACTION OF THE NUMBER OF TURNS IN CIRCULAR REFLECTIONS AS WELL AS ITS DENOMINATOR

  • 1. Jizzakh branch of the National University of Uzbekistan

Description

In this work, the deflection number  is an irrational orientation-preserving  a circular homeomorphism is considered.  formulas for the denominator  of a decent fraction  are found when the twisting numbers of a homeomorphism are  and .

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References

  • 1. С. Х. Абдухакимов. Поведение времени попадания для эргодических критических отображений окружности. Доклады Академии наук Республики Узбекистан (ДАН) № 4, Стр 3-8, 2023г. 2. Abdukhakimov S.X., Khomidov M.K. The orbit of critical point and thermodynamic formalism for critical circle maps without periodic points. Uzbek Mathematical Journal, 2020 № 3pp. 4-15. 3. Kamolov, Dostonbek Rustam O'G'Li. "O'ZBEKISTONDA DEMOKRATIYA VA AXLOQNING ZAMONAVIY MUAMMOLARI VA YECHIMLARI." Academic research in educational sciences 3.NUU Conference 2 (2022): 348-352. 4. А.А. Джалилов, Предельные законы времени попадания для критических отображений окружности, ТМФ, 2004, том 138, номер 2, 225-245.