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A randomly determined unpredictable function

2019/10/23 by Akhmet, Marat, Fen, Mehmet Onur, Alejaily, Ejaily Milad
#60K37 #74H65 #Chaotic Dynamics (nlin.CD) #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Probability (math.PR)

paper · doi:10.48550/arxiv.1910.12758

Abstract

In this paper, we construct a new unpredictable function. Our approach is based on adapting the concept of symbolic dynamics to introduce a map on the space of infinite sequences generated by the discrete distribution. We show that there exists an unpredictable sequence on the space and then use the sequence to construct an unpredictable function.

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