Universally L^1 good sequences with gaps tending to infinity
Dynamical Systems
2007-05-23 v1 Classical Analysis and ODEs
Abstract
A universally L^1 good sequence n_k is constructed with n_{k+1}-n_k tending to infinity. For ergodic transformations non-conventional ergodic averages of L^1 functions computed by using this sequence converge to the integral of the function.
Cite
@article{arxiv.math/0601329,
title = {Universally L^1 good sequences with gaps tending to infinity},
author = {Zoltan Buczolich},
journal= {arXiv preprint arXiv:math/0601329},
year = {2007}
}