Construction de cocycles en escalier ergodiques et faiblement mélangeants au-dessus de rotations irrationnelles du cercle

DOI10.24033/bsmf.2305zbMath0981.28013OpenAlexW2471213018MaRDI QIDQ4372119

Jean-Marc Derrien

Publication date: 27 February 2002

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=BSMF_1997__125_2_227_0

zbMATH Keywords

functional equationsirrational rotationergodicweakly mixingstep cocycles

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Ergodicity, mixing, rates of mixing (37A25) Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20)

Cites Work

• Finite group extensions of irrational rotations
• Extensions of ergodic group actions
• Ergodic behavior of diagonal measures and a theorem of Szemeredi on arithmetic progressions
• Ergodic actions with generalized discrete spectrum
• Weak isomorphism of measure-preserving diffeomorphisms
• Cohomology of step functions under irrational rotations
• Induced representation of locally compact groups. I
• Ensemble d'invariants pour les produits croisés de Anzai
• Strict Ergodicity and Transformation of the Torus
• Strict Ergodicity in Zero Dimensional Dynamical Systems and the Kronecker-Weyl Theorem Mod 2
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