Invariant densities for random continued fractions

Autor:	Charlene Kalle, Valentin Matache, Masato Tsujii, Evgeny Verbitskiy
Přispěvatelé:	Dynamical Systems, Geometry & Mathematical Physics
Rok vydání:	2022
Předmět:	Applied Mathematics FOS: Mathematics Dynamical Systems (math.DS) Mathematics - Dynamical Systems 37H05 37E05 Transfer operator Intermittent dynamics Nuclearity Invariant measures Random dynamics Analysis Quasi-compactness
Zdroj:	Journal of Mathematical Analysis and Applications, 512(2):126163. ACADEMIC PRESS INC ELSEVIER SCIENCE
ISSN:	0022-247X
DOI:	10.1016/j.jmaa.2022.126163
Popis:	We continue the study of random continued fraction expansions, generated by random application of the Gauss and the Rényi backward continued fraction maps. We show that this random dynamical system admits a unique absolutely continuous invariant measure with smooth density.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::19c4d39116eb45390a777e396f90e82c https://doi.org/10.1016/j.jmaa.2022.126163 Zobrazit plný text záznamu Full Text from ScienceDirect