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Random Sequences and Pointwise Convergence of Multiple Ergodic Averages
Ergodic averages mean convergence pointwise convergence multiple recurrence
2011/1/18
We prove pointwise convergence, as N ! 1, for the multiple ergodic averages 1 N PN n=1 f(T nx) ·g(Sanx), where T and S are commuting measure preserving transformations,and an is a random version of th...