SOME REMARK ON THE INVARIANT MEASURE OF CIRCLE MAPS WITH BREAK POINTS
##submission.downloads##
Ushbu maqolada sinish tipidagi maxsuslikka ega aylana gomeomorfizmlarining invariant o’lchovi
o’rganilgan. Bunda to’rtta sinish nuqtalariga ega bo’lib, sinish kattaliklari ko’paytmasi trivial va
bo’rish soni chegaralangan tipdagi irratsional bo’lgan aylana gomeomorfizmlarining invariant o’lchovi
aylanada Lebeg o’lchoviga nisbatan singulyar bo’lishi isbotlangan.
Denjoy A. Sur les courbes d´efinies par les ´equations diff´erentielles `a la surface du tore. J. Math. Pures
Appl.,1932, V.11, P.333-375.
2. Katznelson Y. and Ornstein D. The absolute continuity of the conjugation of certain diffeomorphisms of
the circle. Ergod. Theor. Dyn. Syst.,1989, V.9, P.681-690.
3. Khanin K.M. and Sinai Y.G. Smoothness of conjugacies of diffeomorphisms of the circle with rotations.
Russ. Math. Surv., 1989, V.44, P.69-99.
4. Herman M. Sur la conjugaison diff´erentiable des diff´eomorphismes du cercle `a des rotations. Inst. Hautes
Etudes Sci. Publ. Math., 1979, V.49, P.225-234.
5. Dzhalilov A.A. and Khanin K.M. On invariant measure for homeomorphisms of a circle with a point of
break. Funct. Anal. Appl., 1998, V.32, P.153-161.
6. Dzhalilov A.A. and Liousse I.Circle homeomorphisms with two break points. Nonlinearity, 2006, V.19,
P.1951-1968.
7. Dzhalilov A.A., Liousse I. and Mayer D. Singular measures of piecewise smooth circle homeomorphisms
with two break points. Discrete and continuous dynamical systems, 2009, V.24, P.381-403.
8. Dzhalilov A.A., Mayer D. and Safarov U.A. Piecewise-smooth circle homeomorphisms with several break
points. Izvestiya RAN: Ser. Mat., 2012, V.76, P.95-113.
9. Teplinsky A. A circle diffeomorphism with breaks that is absolutely continuously linearizable. Ergodic
Theory and Dynamical Systems, 2018, V.38, P.371–383.
Mulkiiyat (c) 2025 «O‘zMU XABARLARI»
Ushbu ish quyidagi litsenziya asosida ruxsatlangan Kreativ Commons Attribution-NonCommercial-ShareAlike 4.0 International litsenziyasi asosida bu ish ruxsatlangan..
.jpg)
.png)
