Cohomology of step functions under irrational rotations

DOI10.1007/BF02774084zbMath0616.28010OpenAlexW2065008577MaRDI QIDQ1821219

Kathy D. Merrill

Publication date: 1985

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02774084

zbMATH Keywords

irrational rotationstep functionscoboundarymultiplicative cocycle

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Ergodic theory (37A99) Irregularities of distribution, discrepancy (11K38) General theory of distribution modulo (1) (11K06)

Related Items (13)

Ensemble d'invariants pour les produits croisés de Anzai ⋮ On circle-valued cocycles of an ergodic measure preserving transformation ⋮ Positive Lyapunov exponents for a dense set of bounded measurable SL(2, ℝ)-cocycles ⋮ Rigidity of generalized Veech 1969/Sataev 1975 extensions of rotations ⋮ Correlation of sequences and of measures, generic points for joinings and ergodicity of certain cocycles ⋮ On multiple ergodicity of affine cocycles over irrational rotations ⋮ Construction de cocycles en escalier ergodiques et faiblement mélangeants au-dessus de rotations irrationnelles du cercle ⋮ Spectral Types of Uniform Distribution ⋮ Equivalence of Cocycles Under an Irrational Rotation ⋮ Singularité des produits de Anzai associés aux fonctions caractéristiques d'un intervalle ⋮ Structure of three-interval exchange transformations. III: Ergodic and spectral properties ⋮ On compact group extension of Bernoulli shifts ⋮ On a ``structure intermediate between quasiperiodic and random.

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unitary representations of group extensions. I
• Representations of the discrete Heisenberg group and cocycles of an irrational rotation
• Representations of the Mautner group and cocyles of an irrational rotation
• Nontransitive quasi-orbits in Mackey's analysis of group extensions
• Finite group extensions of irrational rotations
• Prime flows in topological dynamics
• Coboundaries and Homomorphisms for Non-Singular Actions and a Problem of H. Helson
• Irregularities of uniform distribution
• On a conjecture of Erdös and Szüsz related to uniform distribution mod 1
• Strict Ergodicity and Transformation of the Torus
• Strict Ergodicity in Zero Dimensional Dynamical Systems and the Kronecker-Weyl Theorem Mod 2
• Well Distributed Sequences of Integers

This page was built for publication: Cohomology of step functions under irrational rotations