Bilyk, Dmitriy; Ferizović, Damir; Glazyrin, Alexey; Matzke, Ryan W.; Park, Josiah; Vlasiuk, Oleksandr Potential theory with multivariate kernels. (English) Zbl 1495.31012 Math. Z. 301, No. 3, 2907-2935 (2022). MSC: 31B15 31A15 31C15 PDFBibTeX XMLCite \textit{D. Bilyk} et al., Math. Z. 301, No. 3, 2907--2935 (2022; Zbl 1495.31012) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{D. Bilyk} et al., J. Math. Anal. Appl. 513, No. 2, Article ID 126220, 30 p. (2022; Zbl 1505.11103) Full Text: DOI arXiv
Bilyk, Dmitriy; Glazyrin, Alexey; Matzke, Ryan; Park, Josiah; Vlasiuk, Oleksandr Energy on spheres and discreteness of minimizing measures. (English) Zbl 1462.31009 J. Funct. Anal. 280, No. 11, Article ID 108995, 28 p. (2021). MSC: 31B15 PDFBibTeX XMLCite \textit{D. Bilyk} et al., J. Funct. Anal. 280, No. 11, Article ID 108995, 28 p. (2021; Zbl 1462.31009) Full Text: DOI arXiv
Bilyk, Dmitriy; Dai, Feng Geodesic distance Riesz energy on the sphere. (English) Zbl 1470.11208 Trans. Am. Math. Soc. 372, No. 5, 3141-3166 (2019). MSC: 11K38 74G65 42C10 33C55 PDFBibTeX XMLCite \textit{D. Bilyk} and \textit{F. Dai}, Trans. Am. Math. Soc. 372, No. 5, 3141--3166 (2019; Zbl 1470.11208) Full Text: DOI arXiv
Bilyk, Dmitriy; Matzke, Ryan W. On the Fejes Tóth problem about the sum of angles between lines. (English) Zbl 1458.11119 Proc. Am. Math. Soc. 147, No. 1, 51-59 (2019). MSC: 11K38 52C35 PDFBibTeX XMLCite \textit{D. Bilyk} and \textit{R. W. Matzke}, Proc. Am. Math. Soc. 147, No. 1, 51--59 (2019; Zbl 1458.11119) Full Text: DOI arXiv Backlinks: MO
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 PDFBibTeX XMLCite \textit{D. Bilyk} et al., Constr. Approx. 48, No. 1, 31--60 (2018; Zbl 1426.11075) 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 PDFBibTeX XMLCite \textit{D. Bilyk} and \textit{M. T. Lacey}, Sb. Math. 208, No. 6, 744--763 (2017; Zbl 1388.11052); translation from Mat. Sb. 208, No. 6, 4--25 (2017) Full Text: DOI arXiv