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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

The ergodic decomposition of conservative Baire measures


Author: Michael L. Sturgeon
Journal: Proc. Amer. Math. Soc. 44 (1974), 141-146
MSC: Primary 60J05
DOI: https://doi.org/10.1090/S0002-9939-1974-0331517-0
MathSciNet review: 0331517
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Abstract: Certain topological conditions on a Markov transition function are shown sufficient for an integral representation of conservative invariant Baire measures. The analysis incorporates the Choquet-Bishop-de Leeuw extension of the Krein-Milman theorem.


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DOI: https://doi.org/10.1090/S0002-9939-1974-0331517-0
Keywords: Ergodic decomposition, integral representation, invariant measures, conservative measures, Choquet representation, Markov transition functions, recurrence, Baire measures
Article copyright: © Copyright 1974 American Mathematical Society