Quantitative Multiple pointwise convergence and effective multiple correlations
Dynamical Systems
2019-05-01 v1
Abstract
We show that effective -multiple correlations imply quantitative -multiple pointwise ergodic theorems. The result has a wide class of applications which include subgroup actions on homogeneous spaces, ergodic nilmanifold automorphisms, subshifts of finite type and Young towers.
Keywords
Cite
@article{arxiv.1904.13055,
title = {Quantitative Multiple pointwise convergence and effective multiple correlations},
author = {Rene Rühr and Ronggang Shi},
journal= {arXiv preprint arXiv:1904.13055},
year = {2019}
}