New York Journal of Mathematics
Volume 19 (2013) 713-727

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Jeremy Avigad and José Iovino

Ultraproducts and metastability

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Published: October 29, 2013
Keywords: Ultraproducts, metastability, ergodic theorems
Subject: 46B08, 03C20, 37A30
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.
Acknowledgements

Avigad's work has been partially supported by NSF grant DMS-1068829 and AFOSR grant FA9550-12-1-0370.
Author information

Jeremy Avigad:
Department of Philosophy and Department of Mathematical Sciences, Carnegie Mellon University, Pittsburgh, Pennsylvania 15213
avigad@cmu.edu

José Iovino:
Department of Mathematics, The University of Texas at San Antonio, San Antonio, Texas 78249 and Department of Mathematical Sciences, Carnegie Mellon University, Pittsburgh, Pennsylvania 15213
iovino@math.utsa.edu