Fast and slow points of Birkhoff sums
Résumé
We investigate the growth rate of the Birkhoff sums $S_{n,\alpha}f(x)=\sum_{k=0}^{n-1}f(x+k\alpha)$,
where $f$ is a continuous function with zero mean defined on the unit circle $\mathbb T$ and $(\alpha,x)$ is
a ``typical'' element of $\mathbb T^2$. The answer depends on the meaning given to the word ``typical''. Part of the work will be done in a more general context.
Domaines
Systèmes dynamiques [math.DS]
Origine : Fichiers produits par l'(les) auteur(s)
Loading...