Bilyk, Dmitriy; Matzke, Ryan W.; Vlasiuk, Oleksandr Positive definiteness and the Stolarsky invariance principle. (English) Zbl 1505.11103 J. Math. Anal. Appl. 513, No. 2, Article ID 126220, 30 p. (2022). Reviewer: Peter Kritzer (Linz) MSC: 11K38 31B15 46N10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Barg, Alexander Stolarsky’s invariance principle for finite metric spaces. (English) Zbl 1523.11137 Mathematika 67, No. 1, 158-186 (2021). MSC: 11K38 94B25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bilyk, Dmitriy; Dai, Feng; Matzke, Ryan The Stolarsky principle and energy optimization on the sphere. (English) Zbl 1426.11075 Constr. Approx. 48, No. 1, 31-60 (2018). Reviewer: Volker Ziegler (Salzburg) MSC: 11K38 74G65 42A82 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Skriganov, M. M. Point distributions in compact metric spaces. (English) Zbl 1393.11057 Mathematika 63, No. 3, 1152-1171 (2017). Reviewer: Peter Kritzer (Linz) MSC: 11K38 52C99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bilyk, Dmitry; Lacey, Michael T. One-bit sensing, discrepancy and Stolarsky’s principle. (English. Russian original) Zbl 1388.11052 Sb. Math. 208, No. 6, 744-763 (2017); translation from Mat. Sb. 208, No. 6, 4-25 (2017). Reviewer: Robert F. Tichy (Graz) MSC: 11K38 94A12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Brauchart, Johann S.; Dick, Josef; Fang, Lou Spatial low-discrepancy sequences, spherical cone discrepancy, and applications in financial modeling. (English) Zbl 1317.65005 J. Comput. Appl. Math. 286, 28-53 (2015). MSC: 65C05 11K38 91G60 91B24 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Brauchart, Johann S.; Dick, Josef A characterization of Sobolev spaces on the sphere and an extension of Stolarsky’s invariance principle to arbitrary smoothness. (English) Zbl 1284.41013 Constr. Approx. 38, No. 3, 397-445 (2013). Reviewer: Francisco Pérez Acosta (La Laguna) MSC: 41A30 11K38 41A55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Brauchart, Johann S. Optimal discrete Riesz energy and discrepancy. (English) Zbl 1313.11092 Unif. Distrib. Theory 6, No. 2, 207-220 (2011). Reviewer: Oto Strauch (Bratislava) MSC: 11K38 × Cite Format Result Cite Review PDF Full Text: arXiv