- Tytuł:
- Invariant densities for C¹ maps
- Autorzy:
- N. Quas, Anthony
- Powiązania:
- https://bibliotekanauki.pl/articles/1287383.pdf
- Data publikacji:
- 1996
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
cocycle
expanding map
invariant density
absolutely continuous invariant measure - Opis:
- We consider the set of $C^1$ expanding maps of the circle which have a unique absolutely continuous invariant probability measure whose density is unbounded, and show that this set is dense in the space of $C^1$ expanding maps with the $C^1$ topology. This is in contrast with results for $C^2$ or $C^{1+ε}$ maps, where the invariant densities can be shown to be continuous.
- Źródło:
-
Studia Mathematica; 1996, 120, 1; 83-88
0039-3223 - Pojawia się w:
- Studia Mathematica
- Dostawca treści:
- Biblioteka Nauki
Artykuł