$LS$-sequences of points in the unit square

Ingrid Carbone; Maria Rita Iacò; Aljoša Volčič

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arXiv · 1211.2941

$LS$-sequences of points in the unit square

Ingrid Carbone·Maria Rita Iacò·Aljoša Volčič

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Abstract

We define a countable family of sequences of points in the unit square: the {\it $LS$-sequences of points à la Halton}. They reveal a very strange and interesting behaviour, as well as resonance phenomena, for which we have not found an explanation, so far. We conclude with three open problems.

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Ingrid Carbone, Maria Rita Iacò, Aljoša Volčič. 2012-11-13. $LS$-sequences of points in the unit square. https://arxiv.org/abs/1211.2941

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