TY - JOUR
T1 - Invariant densities for random continued fractions
AU - Kalle, Charlene
AU - Matache, Valentin
AU - Tsujii, Masato
AU - Verbitskiy, Evgeny
N1 - Funding Information:
Research of CK was partially supported by NWO Veni-grant number 639.031.140. CK and EV are grateful to Kyushu University and the World Premier International Researcher Invitation Program “Progress 100” for hospitality and support. EV is grateful to A.J.E.M. Janssen, D. Terhesiu for helpful discussions.
Publisher Copyright:
© 2022 The Authors
PY - 2022/8/15
Y1 - 2022/8/15
N2 - 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.
AB - 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.
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U2 - 10.1016/j.jmaa.2022.126163
DO - 10.1016/j.jmaa.2022.126163
M3 - Article
AN - SCOPUS:85127024204
SN - 0022-247X
VL - 512
JO - Journal of Mathematical Analysis and Applications
JF - Journal of Mathematical Analysis and Applications
IS - 2
M1 - 126163
ER -