Geodesic
A version of the law of large numbers
Katusi Fukuyama1
1 Department of Mathematics Kobe University Rokko, Kobe, 657-8501 Japan
Colloquium Mathematicum, Tome 90 (2001) no. 2, pp. 295-298.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

By the method of Rio [10], for a locally square integrable periodic function $f$, we prove $ ( f(\mu _1 ^tx ) + \dots+ f(\mu _n ^tx) )/n \to \int _0^1 f$ for almost every $x$ and $t>0$.
DOI : 10.4064/cm90-2-9
Keywords: method rio locally square integrable periodic function prove dots int almost every

Katusi Fukuyama 1

1 Department of Mathematics Kobe University Rokko, Kobe, 657-8501 Japan 
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Katusi Fukuyama. A version of the law of large numbers. Colloquium Mathematicum, Tome 90 (2001) no. 2, pp. 295-298. doi : 10.4064/cm90-2-9. http://geodesic.mathdoc.fr/articles/10.4064/cm90-2-9/

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