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Rational ergodicity and a metric invariant for Markov shifts

โœ Scribed by Jon Aaronson


Book ID
112885953
Publisher
The Hebrew University Magnes Press
Year
1977
Tongue
English
Weight
1001 KB
Volume
27
Category
Article
ISSN
0021-2172

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We consider Markov kernels on a locally compact separable metric space that satisfy the (weak) Feller property. We provide a very simple necessary and sufficient condition for existence of an invariant probability measure. We also prove that every Feller Markov kernel on a compact Hausdorff (not nec