Ultraproducts and metastability

Jeremy Avigad; Jos\'e Iovino

arxiv: 1301.3063 · v4 · pith:DZ5ZORU7new · submitted 2013-01-14 · 🧮 math.FA · math.DS· math.LO

Ultraproducts and metastability

Jeremy Avigad , Jos\'e Iovino This is my paper

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keywords metastabilityanalysisargumentboundcompactnessconditionsconvergenceergodic

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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.

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Ultraproducts and metastability

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