- Tytuł:
- Most expanding maps have no absolutely continuous invariant measure
- Autorzy:
- Quas, Anthony N.
- Powiązania:
- https://bibliotekanauki.pl/articles/1217126.pdf
- Data publikacji:
- 1999
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
$C^1$ expanding map
Ruelle-Perron-Frobenius operator - Opis:
- We consider the topological category of various subsets of the set of expanding maps from a manifold to itself, and show in particular that a generic $C^1$ expanding map of the circle has no absolutely continuous invariant probability measure. This is in contrast with the situation for $C^2$ or $C^{1+ε}$ expanding maps, for which it is known that there is always a unique absolutely continuous invariant probability measure.
- Źródło:
-
Studia Mathematica; 1999, 134, 1; 69-78
0039-3223 - Pojawia się w:
- Studia Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł