- Tytuł:
- On strong uniform distribution, II. The infinite-dimensional case
- Autorzy:
- Lacroix, Y.
- Powiązania:
- https://bibliotekanauki.pl/articles/1390759.pdf
- Data publikacji:
- 1998
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
dimension
chains
almost sure convergence
universally good
density - Opis:
- We construct infinite-dimensional chains that are L¹ good for almost sure convergence, which settles a question raised in this journal [N]. We give some conditions for a coprime generated chain to be bad for L² or $L^∞$, using the entropy method. It follows that such a chain with positive lower density is bad for $L^∞$. There also exist such bad chains with zero density.
- Źródło:
-
Acta Arithmetica; 1998, 84, 3; 279-290
0065-1036 - Pojawia się w:
- Acta Arithmetica
- Dostawca treści:
- Biblioteka Nauki
Artykuł