Ergodic Functions That are not Almost Periodic Plus $L^1-$Mean Zero
Analysis of PDEs
2020-02-24 v1
Abstract
Ergodic Functions are bounded uniformly continuous functions that are typical realizations of continuous stationary ergodic process. A natural question is whether such functions are always the sum of an almost periodic with an mean zero function. The paper answers this question presenting a framework that can provide infinitely many ergodic functions that are not almost periodic plus mean zero.
Keywords
Cite
@article{arxiv.2002.08986,
title = {Ergodic Functions That are not Almost Periodic Plus $L^1-$Mean Zero},
author = {Jean Silva},
journal= {arXiv preprint arXiv:2002.08986},
year = {2020}
}