@article{ASENS_2005_4_38_3_339_0, 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}, number = {3}, year = {2005}, doi = {10.1016/j.ansens.2005.03.004}, mrnumber = {2166337}, zbl = {1090.37001}, language = {en}, url = {http://www.numdam.org/articles/10.1016/j.ansens.2005.03.004/} }
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 SP - 339 EP - 364 VL - 38 IS - 3 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.ansens.2005.03.004/ DO - 10.1016/j.ansens.2005.03.004 LA - en ID - ASENS_2005_4_38_3_339_0 ER -
%0 Journal Article %A Fayad, Bassam %A Saprykina, Maria %T Weak mixing disc and annulus diffeomorphisms with arbitrary Liouville rotation number on the boundary %J Annales scientifiques de l'École Normale Supérieure %D 2005 %P 339-364 %V 38 %N 3 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.ansens.2005.03.004/ %R 10.1016/j.ansens.2005.03.004 %G en %F ASENS_2005_4_38_3_339_0
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] New examples in smooth ergodic theory. Ergodic diffeomorphisms, Trans. Moscow Math. Soc. 23 (1970) 1-35. | MR | Zbl
, ,[2] Weak mixing for reparametrized linear flows on the torus, Ergodic Theory Dynamical Systems 22 (2002) 187-201. | MR | Zbl
,[3] Analytic mixing reparametrizations of irrational flows, Ergodic Theory Dynamical Systems 22 (2002) 437-468. | MR | Zbl
,[4] Constructions in elliptic dynamics, Ergodic Theory Dynamical Systems 24 (2004) 1477-1520, (volume dedicated to the memory of Michael Herman). | MR | Zbl
, ,[5] Lectures in Ergodic Theory, Japan Math. Soc., 1956. | MR | Zbl
,[6] 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] On dynamical systems with an integral invariant on the torus, Doklady Akad. Nauk SSSR (N.S.) 93 (1953) 763-766. | MR | Zbl
,[8] On the volume elements on a manifold, Trans. Amer. Math. Soc. 120 (1965) 286-294. | MR | Zbl
,[9] Analytic non-linearizable uniquely ergodic diffeomorphisms on , Ergodic Theory Dynamical Systems 23 (3) (2003) 935-955. | MR | Zbl
,[10] Classical dynamical systems on the torus with continuous spectrum, Izv. Vysš. Učebn. Zaved. Mat. 10 (1967) 113-124. | MR
,[11] 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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