- Tytuł:
- Ergodic decomposition of quasi-invariant probability measures
- Autorzy:
-
Greschonig, Gernot
Schmidt, Klaus - Powiązania:
- https://bibliotekanauki.pl/articles/965652.pdf
- Data publikacji:
- 2000
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
ergodic decomposition
nonsingular group actions
nonsingular equivalence relations
quasi-invariant measures - Opis:
- The purpose of this note is to prove various versions of the ergodic decomposition theorem for probability measures on standard Borel spaces which are quasi-invariant under a Borel action of a locally compact second countable group or a discrete nonsingular equivalence relation. In the process we obtain a simultaneous ergodic decomposition of all quasi-invariant probability measures with a prescribed Radon-Nikodym derivative, analogous to classical results about decomposition of invariant probability measures.
- Źródło:
-
Colloquium Mathematicum; 2000, 84/85, 2; 495-514
0010-1354 - Pojawia się w:
- Colloquium Mathematicum
- Dostawca treści:
- Biblioteka Nauki
Artykuł