In this paper, we present necessary and su cient conditions for the existence of a non-singular invariant probability measure for a Feller Markov chain taking values on a locally compact separable metric space. The necessary and su cient condition is written in terms of the Foster's criterion with a
Quasi-invariant measures and their characterization by conditional probabilities
β Scribed by Kenji Handa
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- French
- Weight
- 143 KB
- Volume
- 125
- Category
- Article
- ISSN
- 0007-4497
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β¦ Synopsis
Based on quasi-invariance properties of the Gaussian process and the gamma process, we give certain formal expressions of their laws on infinite-dimensional spaces. They are also consistent with some identities of conditional probabilities which are shown to be equivalent to the quasi-invariance properties.
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