Advertisement

Ergodic Theory pp 121-151 | Cite as

Conditional Measures and Algebras

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 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer-Verlag London Limited 2011

Authors and Affiliations

  1. 1.Departement MathematikETH ZurichZurichSwitzerland
  2. 2.School of MathematicsUniversity of East AngliaNorwichUK

Personalised recommendations