Ultraproducts and metastability
Functional Analysis
2013-10-17 v4 Dynamical Systems
Logic
Abstract
Given a convergence theorem in analysis, under very general conditions a model-theoretic compactness argument implies that there is a uniform bound on the rate of metastability. We illustrate with three examples from ergodic theory.
Cite
@article{arxiv.1301.3063,
title = {Ultraproducts and metastability},
author = {Jeremy Avigad and José Iovino},
journal= {arXiv preprint arXiv:1301.3063},
year = {2013}
}