A simple proof of the ergodic theorem using nonstandard analysis
type: Item
instance of: scholarly article
title: A simple proof of the ergodic theorem using nonstandard analysis
zbMATH Open document ID: 0499.28011
DOI: 10.1007/BF02761408
author: Teturo Kamae
published in: Israel Journal of Mathematics
publication date: 1982-01-01T00:00:00Z
Mathematics Subject Classification ID: 28D05
Mathematics Subject Classification ID: 03H05
Mathematics Subject Classification ID: 26E35
Mathematics Subject Classification ID: 28D10
zbMATH DE Number: 3787131
zbMATH Keywords: Loeb space
zbMATH Keywords: generic point
zbMATH Keywords: simple proof of the individual ergodic theorem
zbMATH Keywords: nonstandard measure theory
zbMATH Keywords: Loeb measure
zbMATH Keywords: dynamical system
zbMATH Keywords: universal system
zbMATH Keywords: cyclic system with a hyperfinite cycle
MaRDI profile type: Publication
cites work: Q4132530
cites work: Conversion from Nonstandard to Standard Measure Spaces and Applications in Probability Theory
description: scientific article; zbMATH DE number 3787131