Mean Ergodic Shadowing
Dynamical Systems
2021-08-04 v2
Abstract
We introduce and study a new variant of shadowing namely mean ergodic shadowing. We establish relationship of this variant with several other variants of shadowing. We show that a minimal system with shadowing cannot have mean ergodic shadowing. We give a necessary and sufficient condition for an orbital limit function to have mean ergodic shadowing property.
Keywords
Cite
@article{arxiv.1907.02913,
title = {Mean Ergodic Shadowing},
author = {Pramod Kumar Das and Tarun Das},
journal= {arXiv preprint arXiv:1907.02913},
year = {2021}
}
Comments
10 pages