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Some Characterizations of Ergodic Probability Measures

✍ Scribed by Wolfgang Adamski

Publisher
John Wiley and Sons
Year
1992
Tongue
English
Weight
495 KB
Volume
156
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

Let P be a Markov kernel defined on a measurable space (X, π’œ). A P‐ergodic probability is an extreme point of the family of all P‐invariant probability measures on π’œ. Several characterizations of P‐ergodic probabilities are given. In particular, for the special case of a topological space X both P‐ergodic Baire probabilities and P‐ergodic Borel probabilities with additional regularity properties are characterized.

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