A quantitative multiparameter mean ergodic theorem
Dynamical Systems
2021-10-27 v3 Logic
Abstract
We use techniques of proof mining to obtain a computable and uniform rate of metastability (in the sense of Tao) for the mean ergodic theorem for a finite number of commuting linear contractive operators on a uniformly convex Banach space.
Cite
@article{arxiv.2008.03932,
title = {A quantitative multiparameter mean ergodic theorem},
author = {Andrei Sipos},
journal= {arXiv preprint arXiv:2008.03932},
year = {2021}
}