Ergodic components of an extension by a nilmanifold

zbMath1180.22022MaRDI QIDQ733365

Alexander Leibman

Publication date: 15 October 2009

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

Full work available at URL: https://projecteuclid.org/euclid.ijm/1254403724

zbMATH Keywords

nilmanifoldergodic dynamical systemshift-transformation

Mathematics Subject Classification ID

Ergodic theory on groups (22D40) Measurable group actions (22F10)

Related Items (1)

Some open problems on multiple ergodic averages

Cites Work

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• Extensions of ergodic group actions
• Sur une nil-variété, les parties minimales associées à une translation sont uniquement ergodiques
• Orbits on a nilmanifold under the action of a polynomial sequence of translations
• Compact Nilmanifold Extensions of Ergodic Actions
• Pointwise convergence of ergodic averages for polynomial sequences of translations on a nilmanifold
• Ergodic Properties of Affine Transformations and Flows on Nilmanifolds
• Dynamical Systems on Nilmanifolds

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