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Almost everywhere convergence of entangled ergodic averages
We study pointwise convergence of entangled averages of the form where ,
, and the
are ergodic measure preserving transformations on the standard probability
space . We show that under some joint boundedness and twisted
compactness conditions on the pairs , almost everywhere convergence
holds for all . We also present results for the general case
() and for polynomial powers, in addition to continuous
versions concerning ergodic flows.Comment: 16 pages, to appear in Integral Equations and Operator Theor
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