Factors and Joinings

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 6 in Ergodic Theory, 2011, pp 153-169 from Springer

Abstract: Abstract We introduce the notion of a joining between two measure-preserving systems, and develop the basic properties of joinings. The tools developed in Chapter 5 are used to give a different purely measure-theoretic approach to the ergodic decomposition and to give a construction of the Kronecker factor of a measure-preserving system. The classification of Kronecker systems due to Halmos and von Neumann is proved.

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-0-85729-021-2_6

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DOI: 10.1007/978-0-85729-021-2_6

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