On the norm convergence of non-conventional ergodic averages
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Publication:3558029
DOI10.1017/S014338570900011XzbMath1206.37003arXiv0805.0320MaRDI QIDQ3558029
Publication date: 29 April 2010
Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0805.0320
Measure-preserving transformations (28D05) Ergodic theorems, spectral theory, Markov operators (37A30) Dynamical systems with hyperbolic orbits and sets (37D05)
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Cites Work
- Ergodic behavior of diagonal measures and a theorem of Szemeredi on arithmetic progressions
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- A nilpotent Roth theorem.
- Nonconventional ergodic averages and nilmanifolds
- Convergence of Conze–Lesigne averages
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- Weakly mixing PET
- A Roth theorem for amenable groups.
- Pointwise convergence of ergodic averages for polynomial sequences of translations on a nilmanifold
- Norm convergence of multiple ergodic averages for commuting transformations
- Convergence of multiple ergodic averages for some commuting transformations
- A non-conventional ergodic theorem for a nilsystem
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