A simple proof of the ergodic theorem using nonstandard analysis
From MaRDI portal
Publication:1171671
DOI10.1007/BF02761408zbMath0499.28011MaRDI QIDQ1171671
Publication date: 1982
Published in: Israel Journal of Mathematics (Search for Journal in Brave)
dynamical systemLoeb measurenonstandard measure theoryLoeb spacegeneric pointuniversal systemcyclic system with a hyperfinite cyclesimple proof of the individual ergodic theorem
Measure-preserving transformations (28D05) Nonstandard models in mathematics (03H05) Nonstandard analysis (26E35) One-parameter continuous families of measure-preserving transformations (28D10)
Related Items (4)
A note on the ergodic theorem ⋮ Ultraproducts of measure preserving actions and graph combinatorics ⋮ A functional interpretation for nonstandard arithmetic ⋮ A simple proof of some ergodic theorems
Cites Work
This page was built for publication: A simple proof of the ergodic theorem using nonstandard analysis
