A randomly determined unpredictable function
Marat Akhmet, Mehmet Onur Fen, Ejaily Milad Alejaily
TL;DR
This paper introduces a novel unpredictable function by adapting symbolic dynamics to generate a sequence, demonstrating the existence of an unpredictable sequence and constructing the function based on it.
Contribution
The paper presents a new method for constructing unpredictable functions using symbolic dynamics and infinite sequence generation.
Findings
Existence of an unpredictable sequence on the space
Construction of an unpredictable function from the sequence
Application of symbolic dynamics in unpredictability modeling
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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Taxonomy
TopicsNeural Networks and Applications · Mathematical Dynamics and Fractals · Fractal and DNA sequence analysis