Analogues of Khintchine's theorem for random attractors

Simon Baker; Sascha Troscheit

doi:10.1090/tran/8537

Analogues of Khintchine's theorem for random attractors

Simon Baker
, Sascha Troscheit

Mathematics

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Abstract

In this paper we study random iterated function systems. Our main result gives sufficient conditions for an analogue of a well known theorem due to Khintchine from Diophantine approximation to hold almost surely for stochastically self-similar and self-affine random iterated function systems.

Original language	English
Journal	Transactions of the American Mathematical Society
Early online date	2 Dec 2021
DOIs	https://doi.org/10.1090/tran/8537
Publication status	E-pub ahead of print - 2 Dec 2021

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BakerS2021Analogues
First published in Transactions of the American Mathematical Society in 2021, published by the American Mathematical Society. © 2021 American Mathematical Society. The final version of record is available at: https://www.ams.org/journals/tran/0000-000-00/S0002-9947-2021-08537-2/
Accepted author manuscript, 470 KBLicence: Creative Commons: Attribution-NonCommercial-NoDerivs (CC BY-NC-ND)

https://www.ams.org/journals/tran/0000-000-00/S0002-9947-2021-08537-2/Licence: None: All rights reserved

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Analogues of Khintchine's theorem for random attractors

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