• Corpus ID: 219573808

# Quantitative behavior of non-integrable systems (III)

@article{Beck2020QuantitativeBO,
title={Quantitative behavior of non-integrable systems (III)},
author={Jonathan Beck and W.W.L. Chen and Y. Yang},
journal={arXiv: Number Theory},
year={2020}
}
• Published 11 June 2020
• Mathematics
• arXiv: Number Theory
The main purpose of the paper is to give explicit geodesics and billiard orbits in polysquares and polycubes that exhibit time-quantitative density. In many instances of the 2-dimensional case concerning finite polysquares and related systems, we can even establish a best possible form of time-quantitative density called superdensity. In the more complicated 3-dimensional case concerning finite polycubes and related systems, we get very close to this best possible form, missing only by an…
7 Citations

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