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Exact order of extreme [Formula: see text] discrepancy of infinite sequences in arbitrary dimension

We study the extreme [Formula: see text] discrepancy of infinite sequences in the d-dimensional unit cube, which uses arbitrary sub-intervals of the unit cube as test sets. This is in contrast to the classical star [Formula: see text] discrepancy, which uses exclusively intervals that are anchored i...

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Detalles Bibliográficos
Autores principales: Kritzinger, Ralph, Pillichshammer, Friedrich
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2022
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8881274/
https://www.ncbi.nlm.nih.gov/pubmed/35250035
http://dx.doi.org/10.1007/s00013-021-01688-9