ANALOGUES OF KHINTCHINE'S THEOREM FOR RANDOM ATTRACTORS
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY(2022)
摘要
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.
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关键词
Random iterated function systems, Diophantine approximation, self-similar systems, self-affine systems, Khintchine's theorem
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