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arXiv · 1911.08845

On the Unboundedness of the Transit Time of Mean-Median Orbits

Jonathan Hoseana·Franco Vivaldi
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Abstract

The transit time of mean-median orbits ---the time it takes for an orbit to become stationary--- has been conjectured to be finite but unbounded over the rationals. Through a study of some near-regular structures in these orbits, we construct two non-trivial sequences of initial sets of increasing size for which the transit time grows linearly and quadratically, respectively, with the size of the set.

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Jonathan Hoseana, Franco Vivaldi. 2019-11-20. On the Unboundedness of the Transit Time of Mean-Median Orbits. https://arxiv.org/abs/1911.08845

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