Growth of normalizing sequences in limit theorems for conservative maps
Résumé
We consider normalizing sequences that can give rise to nondegenerate limit
theorems for Birkhoff sums under the iteration of a conservative map. Most
classical limit theorems involve normalizing sequences that are polynomial,
possibly with an additional slowly varying factor. We show that, in
general, there can be no nondegenerate limit theorem with a normalizing
sequence that grows exponentially, but that there are examples where it
grows like a stretched exponential, with an exponent arbitrarily close to 1.
Domaines
Systèmes dynamiques [math.DS]
Origine : Fichiers produits par l'(les) auteur(s)
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