Weak mixing disc and annulus diffeomorphisms with arbitrary Liouville rotation number on the boundary

Bassam Fayad; Maria Saprykina

Annales scientifiques de l'École Normale Supérieure (2005)

  • Volume: 38, Issue: 3, page 339-364
  • ISSN: 0012-9593

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Fayad, Bassam, and Saprykina, Maria. "Weak mixing disc and annulus diffeomorphisms with arbitrary Liouville rotation number on the boundary." Annales scientifiques de l'École Normale Supérieure 38.3 (2005): 339-364. <http://eudml.org/doc/82661>.

@article{Fayad2005,
author = {Fayad, Bassam, Saprykina, Maria},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {differentiable manifold; diffeomorphism; weak mixing},
language = {eng},
number = {3},
pages = {339-364},
publisher = {Elsevier},
title = {Weak mixing disc and annulus diffeomorphisms with arbitrary Liouville rotation number on the boundary},
url = {http://eudml.org/doc/82661},
volume = {38},
year = {2005},
}

TY - JOUR
AU - Fayad, Bassam
AU - Saprykina, Maria
TI - Weak mixing disc and annulus diffeomorphisms with arbitrary Liouville rotation number on the boundary
JO - Annales scientifiques de l'École Normale Supérieure
PY - 2005
PB - Elsevier
VL - 38
IS - 3
SP - 339
EP - 364
LA - eng
KW - differentiable manifold; diffeomorphism; weak mixing
UR - http://eudml.org/doc/82661
ER -

References

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  1. [1] Anosov D.V., Katok A.B., New examples in smooth ergodic theory. Ergodic diffeomorphisms, Trans. Moscow Math. Soc.23 (1970) 1-35. Zbl0255.58007MR370662
  2. [2] Fayad B., Weak mixing for reparametrized linear flows on the torus, Ergodic Theory Dynamical Systems22 (2002) 187-201. Zbl1001.37006MR1889570
  3. [3] Fayad B., Analytic mixing reparametrizations of irrational flows, Ergodic Theory Dynamical Systems22 (2002) 437-468. Zbl1136.37307MR1898799
  4. [4] Fayad B., Katok A., Constructions in elliptic dynamics, Ergodic Theory Dynamical Systems24 (2004) 1477-1520, (volume dedicated to the memory of Michael Herman). Zbl1089.37012MR2104594
  5. [5] Halmos P.R., Lectures in Ergodic Theory, Japan Math. Soc., 1956. Zbl0073.09302MR97489
  6. [6] Katok A., Robinson E., Cocycles, cohomology and combinatorial constructions in ergodic theory, in: Smooth Ergodic Theory and Its Applications, Seattle, WA, 1999, Proc. Sympos. Pure Math., vol. 69, American Mathematical Society, Providence, RI, 2001, pp. 107-173. Zbl0994.37003MR1858535
  7. [7] Kolmogorov A.N., On dynamical systems with an integral invariant on the torus, Doklady Akad. Nauk SSSR (N.S.)93 (1953) 763-766. Zbl0052.31904MR62892
  8. [8] Moser J., On the volume elements on a manifold, Trans. Amer. Math. Soc.120 (1965) 286-294. Zbl0141.19407MR182927
  9. [9] Saprykina M., Analytic non-linearizable uniquely ergodic diffeomorphisms on T 2 , Ergodic Theory Dynamical Systems23 (3) (2003) 935-955. Zbl1059.37030MR1992672
  10. [10] Šklover M.D., Classical dynamical systems on the torus with continuous spectrum, Izv. Vysš. Učebn. Zaved. Mat.10 (1967) 113-124. MR226147
  11. [11] Windsor A., Minimal but not uniquely ergodic diffeomorphisms, in: Smooth Ergodic Theory and Its Applications, Proc. Sympos. Pure Math., American Mathematical Society, Providence, RI, 2001, pp. 809-824. Zbl1205.37041MR1858557

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