A General Condition for Lifting Theorems

DOI10.2307/2153932zbMath0748.28008OpenAlexW4233763261MaRDI QIDQ4006674

E. Arthur jun. Robinson

Publication date: 26 September 1992

Full work available at URL: https://doi.org/10.2307/2153932

zbMATH Keywords

entropyaffine extensionsstrong mixingweakly mixingisometric extensionsergodic homeomorphismslifting theoremsrelative unique ergodicitycontinuous flow extensionsergodic compact group extensionsstable extension

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Entropy and other invariants (28D20)

Related Items

Actions of Cartan subgroups ⋮ Lifting mixing properties by Rokhlin cocycles ⋮ Ergodic transformations conjugate to their inverses by involutions ⋮ Ergodicity of Rokhlin cocycles. ⋮ A class of multipliers for \({\mathcal W}^\perp\)

Cites Work

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• Classifying the isometric extensions of a Bernoulli shift
• Quasi-factors in ergodic theory
• Ergodic continuous skew product actions of amenable groups
• A metric study involving independent sequences
• Joining-rank and the structure of finite rank mixing transformations
• On the construction of minimal skew products
• An example of a measure preserving map with minimal self-joinings, and applications
• Relatively invariant measures
• Quelques propriétés des systèmes dynamiques qui se decomposent en un produit de deux systèmes dont l'un est un schema de Bernoulli
• Extensions of ergodic group actions
• Ergodic behavior of diagonal measures and a theorem of Szemeredi on arithmetic progressions
• Ergodic actions with generalized discrete spectrum
• A mean ergodic theorem for weakly mixing operators
• On mixing and partial mixing
• ℤⁿ and ℝⁿ cocycle extensions and complementary algebras
• Higher order partial mixing
• Borel Structure in Groups and Their Duals
• On the mean ergodic theorem for subsequences
• Processes Disjoint from Weak Mixing
• k-fold mixing lifts to weakly mixing isometric extensions
• Ergodic Properties that Lift to Compact Group Extensions
• Mixing on Sequences
• The Maximal Abelian Sub-Extension Determines Weak Mixing for Group Extensions
• Some Transformations Having a Unique Measure with Maximal Entropy
• Strictly ergodic models for dynamical systems
• Disjointness in ergodic theory, minimal sets, and a problem in diophantine approximation
• Strict Ergodicity and Transformation of the Torus
• Ergodic Properties of Affine Transformations and Flows on Nilmanifolds
• Groups of Automorphisms of Borel Spaces
• Quasi-disjointness in ergodic theory
• Some Invariant σ-Algebras for Measure-Preserving Transformations
• Quasi-disjointness, products and inverse limits

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