Invariant densities for random continued fractions

Autor:	Kalle, Charlene, Matache, Valentin, Tsujii, Masato, Verbitskiy, Evgeny
Rok vydání:	2021
Předmět:	Mathematics - Dynamical Systems 37H05 37E05
Druh dokumentu:	Working Paper
Popis:	We continue the study of random continued fraction expansions, generated by random application of the Gauss and the R\'enyi backward continued fraction maps. We show that this random dynamical system admits a unique absolutely continuous invariant measure with smooth density.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2110.05786 Zobrazit plný text záznamu View this record from Arxiv