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math.DS2019★ 2 cited
Norm-variation of cubic ergodic averages
Polona Durcik, Kristina Ana Škreb
We prove a quantitative result on norm convergence of cubic ergodic averages with respect to commuting measure-preserving transformations. We use harmonic analysis techni…
math.DS2016★ 22 cited
Norm-variation of ergodic averages with respect to two commuting transformations
Polona Durcik, Vjekoslav Kovač, Kristina Ana Škreb +1
We study double ergodic averages with respect to two general commuting transformations and establish a sharp quantitative result on their convergence in the norm. We approach the p…