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Works cited by this work

25 works

Work: On Herman’s Theorem for Piecewise Smooth Circle Maps with Two Breaks

  1. Smoothness of conjugacies of diffeomorphisms of the circle with rotations

    Yakov G. Sinai, Konstantin Khanin

    Article198924 citations
    ABI

  2. Sur la conjugaison différentiable des difféomorphismes du cercle à des rotations

    Michael R. Herman

    Article197921 citations
    ABI

  3. On an invariant measure for homeomorphisms of a circle with a point of break

    Akhtam Dzhalilov, Konstantin Khanin

    Article199820 citations
    ABI

  4. The absolute continuity of the conjugation of certain diffeomorphisms of the circle

    Yitzhak Katznelson, Donald Ornstein

    Article198918 citations
    ABI

  5. Ergodic Theory

    I. P. Cornfeld, S. V. Fomin, Ya. G. Sinaǐ

    Book198216 citations
    ABI

  6. Sur les courbes définies par les équations différentielles à la surface du tore

    Arnaud Denjoy

    Article193214 citations
    ABI

  7. Circle homeomorphisms with two break points

    Akhtam Dzhalilov, Isabelle Liousse

    ArticleMathematical Dynamics and FractalsNonlinearity200612 citations
    ABI

  8. Circle homeomorphisms with weak discontinuities

    Konstantin Khanin, E. Vul

    Other199111 citations
    ABI

  9. Singular measures of piecewise smooth circle homeomorphisms with two break points

    Akhtam Dzhalilov, Isabelle Liousse, Dieter Mayer

    Article200910 citations
    ABI

  10. Renormalizations and Rigidity Theory for Circle Homeomorphisms with Singularities of the Break Type

    Konstantin Khanin, D. Khmelev

    Article200310 citations
    ABI

  11. Piecewise-smooth circle homeomorphisms with several break points

    Akhtam Dzhalilov, Dieter Mayer, Utkir Avlayarovich Safarov

    ArticleMathematical Dynamics and FractalsIzvestiya Mathematics20129 citations
    ABI

  12. Herman’s Theory Revisited

    K. Khanin, A. Teplinsky

    Article20089 citations
    ABI

  13. Robust rigidity for circle diffeomorphisms with singularities

    Konstantin Khanin, A. Teplinsky

    Article20077 citations
    ABI

  14. Herman’s theory revisited

    K. Khanin, A. Teplinsky

    Article20097 citations
    ABI

  15. Rigidity for piecewise smooth homeomorphisms on the circle

    Kleyber Cunha, Daniel Smania

    Article20136 citations
    ABI

  16. Conjugations between circle maps with a single break point

    Akhtam Dzhalilov, Hasan Akın, Seyi̇t Temir

    ArticleMathematical Dynamics and FractalsJournal of Mathematical Analysis and Applications20105 citations
    ABI

  17. Nombre de rotation, mesures invariantes et ratio set des homéomorphismes affines par morceaux du cercle

    Isabelle Liousse

    Article20055 citations
    ABI

  18. Untitled

    Other5 citations
    ABI

  19. On conjugations of circle homeomorphisms with two break points

    Habibulla Akhadkulov, Akhtam Dzhalilov, Dieter Mayer

    ArticleMathematical Dynamics and FractalsErgodic Theory and Dynamical Systems20124 citations
    ABI

  20. Piecewise smoothness of conjugate homeomorphisms of a circle with corners

    Akhtam Dzhalilov

    ArticleMathematical Dynamics and FractalsTheoretical and Mathematical Physics19993 citations
    ABI

  21. Singular measures for class<i>P</i>-circle homeomorphisms with several break points

    Abdelhamid Adouani, Habib Marzougui

    Article20123 citations
    ABI

  22. Absolutely continuous invariant measures for a class of affine interval exchange maps

    Zaqueu Coelho, Artur O. Lopes, Luiz Fernando da Rocha

    Article19952 citations
    ABI

  23. Uniform distribution of sequences

    L. Kuipers, Harald Niederreiter

    Book19742 citations
    ABI

  24. A circle diffeomorphism with breaks that is absolutely continuously linearizable

    A. Teplinsky

    Article20162 citations
    ABI

  25. Untitled

    Other1 citations
    ABI