- Tytuł:
- Almost 1-1 extensions of Furstenberg-Weiss type and applications to Toeplitz flows
- Autorzy:
-
Downarowicz, T.
Lacroix, Y. - Powiązania:
- https://bibliotekanauki.pl/articles/1218333.pdf
- Data publikacji:
- 1998
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
almost 1-1 extension
invariant measure
isomorphism
Toeplitz flow - Opis:
- Let $(Z,T_Z)$ be a minimal non-periodic flow which is either symbolic or strictly ergodic. Any topological extension of $(Z,T_Z)$ is Borel isomorphic to an almost 1-1 extension of $(Z,T_Z)$. Moreover, this isomorphism preserves the affine-topological structure of the invariant measures. The above extends a theorem of Furstenberg-Weiss (1989). As an application we prove that any measure-preserving transformation which admits infinitely many rational eigenvalues is measure-theoretically isomorphic to a strictly ergodic toeplitz flow.
- Źródło:
-
Studia Mathematica; 1998, 130, 2; 149-170
0039-3223 - Pojawia się w:
- Studia Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł