- Tytuł:
- On uniqueness of G-measures and g-measures
- Autorzy:
- Hua Fan, Ai
- Powiązania:
- https://bibliotekanauki.pl/articles/1287544.pdf
- Data publikacji:
- 1996
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
G-measures
g-measures
ergodic measures
Riesz products
quasi-invariance
dimension of measures - Opis:
- We give a simple proof of the sufficiency of a log-lipschitzian condition for the uniqueness of G-measures and g-measures which were studied by G. Brown, A. H. Dooley and M. Keane. In the opposite direction, we show that the lipschitzian condition together with positivity is not sufficient. In the special case where the defining function depends only upon two coordinates, we find a necessary and sufficient condition. The special case of Riesz products is discussed and the Hausdorff dimension of Riesz products is calculated.
- Źródło:
-
Studia Mathematica; 1996, 119, 3; 255-269
0039-3223 - Pojawia się w:
- Studia Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł