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Invariant densities for random continued fractions

Autor: Kalle, Charlene, Matache, Valentin, Tsujii, Masato, Verbitskiy, Evgeny

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 me

Externí odkaz: http://arxiv.org/abs/2110.05786

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Invariant densities for random continued fractions

Autor: Charlene Kalle, Valentin Matache, Masato Tsujii, Evgeny Verbitskiy

Publikováno v: Journal of Mathematical Analysis and Applications, 512(2):126163. ACADEMIC PRESS INC ELSEVIER SCIENCE

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 mea

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::19c4d39116eb45390a777e396f90e82c
https://doi.org/10.1016/j.jmaa.2022.126163

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