Weak mixing disc and annulus diffeomorphisms with arbitrary Liouville rotation number on the boundary
Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 38 (2005) no. 3, pp. 339-364. 
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     author = {Fayad, Bassam and Saprykina, Maria},
     title = {Weak mixing disc and annulus diffeomorphisms with arbitrary {Liouville} rotation number on the boundary},
     journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure},
     pages = {339--364},
     publisher = {Elsevier},
     volume = {Ser. 4, 38},
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     year = {2005},
     doi = {10.1016/j.ansens.2005.03.004},
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     zbl = {1090.37001},
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     url = {http://www.numdam.org/articles/10.1016/j.ansens.2005.03.004/}
}
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Fayad, Bassam; Saprykina, Maria. Weak mixing disc and annulus diffeomorphisms with arbitrary Liouville rotation number on the boundary. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 38 (2005) no. 3, pp. 339-364. doi : 10.1016/j.ansens.2005.03.004. http://www.numdam.org/articles/10.1016/j.ansens.2005.03.004/

[1] Anosov D.V., Katok A.B., New examples in smooth ergodic theory. Ergodic diffeomorphisms, Trans. Moscow Math. Soc. 23 (1970) 1-35. | MR | Zbl

[2] Fayad B., Weak mixing for reparametrized linear flows on the torus, Ergodic Theory Dynamical Systems 22 (2002) 187-201. | MR | Zbl

[3] Fayad B., Analytic mixing reparametrizations of irrational flows, Ergodic Theory Dynamical Systems 22 (2002) 437-468. | MR | Zbl

[4] Fayad B., Katok A., Constructions in elliptic dynamics, Ergodic Theory Dynamical Systems 24 (2004) 1477-1520, (volume dedicated to the memory of Michael Herman). | MR | Zbl

[5] Halmos P.R., Lectures in Ergodic Theory, Japan Math. Soc., 1956. | MR | Zbl

[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. | MR | Zbl

[7] Kolmogorov A.N., On dynamical systems with an integral invariant on the torus, Doklady Akad. Nauk SSSR (N.S.) 93 (1953) 763-766. | MR | Zbl

[8] Moser J., On the volume elements on a manifold, Trans. Amer. Math. Soc. 120 (1965) 286-294. | MR | Zbl

[9] Saprykina M., Analytic non-linearizable uniquely ergodic diffeomorphisms on T 2 , Ergodic Theory Dynamical Systems 23 (3) (2003) 935-955. | MR | Zbl

[10] Šklover M.D., Classical dynamical systems on the torus with continuous spectrum, Izv. Vysš. Učebn. Zaved. Mat. 10 (1967) 113-124. | MR

[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. | MR | Zbl

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