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Analogues of Khintchine's theorem for random attractors
Published 14 Oct 2020 in math.DS, math.MG, math.NT, and math.PR | (2010.07197v1)
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.
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