- Tytuł:
- On a gap series of Mark Kac
- Autorzy:
- Fukuyama, Katusi
- Powiązania:
- https://bibliotekanauki.pl/articles/965898.pdf
- Data publikacji:
- 1999
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Tematy:
-
cocycles
gap theorem
central limit theorem - Opis:
- Mark Kac gave an example of a function f on the unit interval such that f cannot be written as f(t)=g(2t)-g(t) with an integrable function g, but the limiting variance of $n^{-1/2}\sum_{k=0}^{n-1} f(2^kt)$ vanishes. It is proved that there is no measurable g such that f(t)=g(2t)-g(t). It is also proved that there is a non-measurable g which satisfies this equality.
- Źródło:
-
Colloquium Mathematicum; 1999, 81, 2; 157-160
0010-1354 - Pojawia się w:
- Colloquium Mathematicum
- Dostawca treści:
- Biblioteka Nauki
Artykuł