Ensemble d'invariants pour les produits croisés de Anzai

DOI10.24033/msmf.360zbMath0754.28011OpenAlexW2490080985MaRDI QIDQ3987548

Pierre Liardet, P. Gabriel, Mariusz Lemanczyk

Publication date: 28 June 1992

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

Full work available at URL: http://www.numdam.org/item?id=MSMF_1991_2_47__1_0

zbMATH Keywords

ergodic transformationsfactorsmaximal spectral typeDirichlet measureabsolutely continuous cocycleAnzai skew product transformationscoalescent dynamical systemessential self joiningLipschitz cocylesstep cocycles

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Irregularities of distribution, discrepancy (11K38)

Related Items (12)

A class of real cocycles having an analytic coboundary modification ⋮ On the degree of cocycles with values in the group SU(2) ⋮ Ensemble d'invariants pour les produits croisés de Anzai ⋮ A dynamical system with a \(Z^ 2\) centralizer ⋮ The absolute continuous spectrum of skew products of compact Lie groups ⋮ Decay estimates for unitary representations with applications to continuous- and discrete-time models ⋮ Commutator criteria for strong mixing ⋮ Construction de cocycles en escalier ergodiques et faiblement mélangeants au-dessus de rotations irrationnelles du cercle ⋮ Skew products over translations on ${\mathbf T}^d$, $d \geq 2$ ⋮ Absolutely continuous cocycles over irrational rotations ⋮ Spectral Types of Uniform Distribution ⋮ Weak isomorphism of measure-preserving diffeomorphisms

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Weakly isomorphic transformations that are not isomorphic
• On circle-valued cocycles of an ergodic measure preserving transformation
• On Weyl sums and skew products over irrational rotations
• An example of a measure preserving map with minimal self-joinings, and applications
• Finite group extensions of irrational rotations
• Weak isomorphism of measure-preserving diffeomorphisms
• Cohomology of step functions under irrational rotations
• On the weak isomorphism of strictly ergodic homeomorphisms
• ℤⁿ and ℝⁿ cocycle extensions and complementary algebras
• On Functions that are Trivial Cocycles for a Set of Irrationals
• Résolution d'une équation fonctionnelle
• A Convergence Problem Connected with Continued Fractions
• On Canonical Factors of Ergodic Dynamical Systems
• Ensemble d'invariants pour les produits croisés de Anzai
• Generic Spectral Properties of Measure-Preserving Maps and Applications
• Compact subgroups in the centralizer of natural factors of an ergodic group extension of a rotation determine all factors
• Good Approximations and Continued Fractions
• Metric automorphisms with quasi-discrete spectrum
• Some characteristic properties of dynamical systems with quasi-discrete spectra
• Strict Ergodicity and Transformation of the Torus
• Compact abelian group extensions of discrete dynamical systems
• Coalescence and spectrum of automorphisms of a Lebesgue space

This page was built for publication: Ensemble d'invariants pour les produits croisés de Anzai