On Higher-Dimensional Oscillation in Ergodic Theory
Classical Analysis and ODEs
2015-02-26 v3 Dynamical Systems
Abstract
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.
Cite
@article{arxiv.1309.2336,
title = {On Higher-Dimensional Oscillation in Ergodic Theory},
author = {Ben Krause},
journal= {arXiv preprint arXiv:1309.2336},
year = {2015}
}
Comments
35 pages