Norm convergence of nilpotent ergodic averages

Details Norm convergence of nilpotent ergodic averages Norm convergence of nilpotent ergodic averages

2011-09-13

arxiv.org/abs/1109.2922v2

Mathematics

Dynamical Systems

17 pages. Added further results and examples

Scientific paper

We show that multiple polynomial ergodic averages arising from nilpotent
groups of measure preserving transformations of a probability space always
converge in the L^2 norm.

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