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math.DS2008
Convergence of multiple ergodic averages along cubes for several commuting transformations
Qing Chu
We prove the norm convergence of multiple ergodic averages along cubes for several commuting transformations, and derive corresponding combinatorial results. The method we use reli…
math.DS2008
Convergence of weighted polynomial multiple ergodic averages
Qing Chu
We study here weighted polynomial multiple ergodic averages. A sequence of weights is called universally good if any polynomial multiple ergodic average with this sequence of weigh…