Conditional Measures and Algebras

Manfred Einsiedler () and Thomas Ward ()
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Manfred Einsiedler: ETH Zurich, Departement Mathematik
Thomas Ward: University of East Anglia, School of Mathematics

Chapter Chapter 5 in Ergodic Theory, 2011, pp 121-151 from Springer

Abstract: Abstract In this chapter we provide some more background in measure theory, by constructing conditional measures and developing some of their properties. We also prove some of the key technical results used in ergodic theory, in particular showing how factors of measure-preserving transformations may be viewed as invariant sub-algebras.

Keywords: Conditional Expectation; Ergodic Theorem; Borel Subset; Conditional Measure; Monotone Convergence Theorem (search for similar items in EconPapers)
Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-0-85729-021-2_5

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DOI: 10.1007/978-0-85729-021-2_5

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