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arXiv:1309.2336 [math.CA]AbstractReferencesReviewsResources

On Higher-Dimensional Oscillation in Ergodic Theory

Ben Krause

Published 2013-09-09, updated 2014-08-24Version 2

We extend the results of Jones, Rosenblatt, and Wierdl concerning higher-dimensional oscillation in ergodic theory in a variety of ways. We do so by transference to the integer lattice, where we employ technique from (discrete) harmonic analysis.

Comments: 34 pages
Categories: math.CA, math.DS
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