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Longest increasing subsequences of dyadic-type chaotic orbits

Iwao, Shinsuke et al.
arXiv (All) · Papers
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05a0537b1060c05combinatoricsdynamical-systemsprobability
This paper studies the longest increasing subsequence (LIS) problem for sequences generated by dyadic-type chaotic interval maps. Starting from a single point $x\in[0,1)$ chosen uniformly at random, we form the order pattern of the first $N$ points of its orbit, with the doubling map as the basic mo
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