Almost sure rotation number of circle endomorphisms
Résumé
We introduce the almost sure rotation number for some circle endomorphisms f. From ergodic theory, this extends the classical rotation number. By restriction to a particular piecewise linear family, we show that the almost sure rotation number has Hölder variations with f and is irrational on a full Lebesgue measure set of parameters.
Domaines
Systèmes dynamiques [math.DS]| Origine | Fichiers produits par l'(les) auteur(s) |
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