Lewin, Mathieu Coulomb and Riesz gases: the known and the unknown. (English) Zbl 1508.76092 J. Math. Phys. 63, No. 6, Article ID 061101, 77 p. (2022). MSC: 76N15 82B05 82B21 PDFBibTeX XMLCite \textit{M. Lewin}, J. Math. Phys. 63, No. 6, Article ID 061101, 77 p. (2022; Zbl 1508.76092) Full Text: DOI arXiv
López-García, Abey; McCleary, Ryan E. Asymptotics of the minimum values of Riesz and logarithmic potentials generated by greedy energy sequences on the unit circle. (English) Zbl 1494.31006 J. Math. Anal. Appl. 508, No. 1, Article ID 125866, 36 p. (2022). MSC: 31A15 PDFBibTeX XMLCite \textit{A. López-García} and \textit{R. E. McCleary}, J. Math. Anal. Appl. 508, No. 1, Article ID 125866, 36 p. (2022; Zbl 1494.31006) Full Text: DOI arXiv
Hardin, Douglas; Saff, Edward B.; Shu, Ruiwen; Tadmor, Eitan Dynamics of particles on a curve with pairwise hyper-singular repulsion. (English) Zbl 1483.31022 Discrete Contin. Dyn. Syst. 41, No. 12, 5509-5536 (2021). MSC: 31B15 PDFBibTeX XMLCite \textit{D. Hardin} et al., Discrete Contin. Dyn. Syst. 41, No. 12, 5509--5536 (2021; Zbl 1483.31022) Full Text: DOI arXiv
Benko, D.; Dragnev, P. D.; Orive, R. On point-mass Riesz external fields on the real axis. (English) Zbl 1453.31006 J. Math. Anal. Appl. 491, No. 1, Article ID 124299, 17 p. (2020). Reviewer: Paolo Musolino (Padova) MSC: 31A15 28A12 PDFBibTeX XMLCite \textit{D. Benko} et al., J. Math. Anal. Appl. 491, No. 1, Article ID 124299, 17 p. (2020; Zbl 1453.31006) Full Text: DOI arXiv
Amore, Paolo; Jacobo, Martin Thomson problem in one dimension: minimal energy configurations of \(N\) charges on a curve. (English) Zbl 1514.78004 Physica A 519, 256-266 (2019). MSC: 78A30 31B15 PDFBibTeX XMLCite \textit{P. Amore} and \textit{M. Jacobo}, Physica A 519, 256--266 (2019; Zbl 1514.78004) Full Text: DOI arXiv
Gao, Tingran; Kovalsky, Shahar Z.; Daubechies, Ingrid Gaussian process landmarking on manifolds. (English) Zbl 1499.60114 SIAM J. Math. Data Sci. 1, No. 1, 208-236 (2019). MSC: 60G15 62K05 65D18 PDFBibTeX XMLCite \textit{T. Gao} et al., SIAM J. Math. Data Sci. 1, No. 1, 208--236 (2019; Zbl 1499.60114) Full Text: DOI arXiv
Hardin, D. P.; Michaels, T. J.; Saff, E. B. Asymptotic linear programming lower bounds for the energy of minimizing Riesz and Gauss configurations. (English) Zbl 1410.28004 Mathematika 65, No. 1, 157-180 (2019). Reviewer: Kathryn Hare (Waterloo) MSC: 28A78 31C20 PDFBibTeX XMLCite \textit{D. P. Hardin} et al., Mathematika 65, No. 1, 157--180 (2019; Zbl 1410.28004) Full Text: DOI arXiv
Goldman, Michael; Novaga, Matteo; Ruffini, Berardo On minimizers of an isoperimetric problem with long-range interactions under a convexity constraint. (English) Zbl 1391.49006 Anal. PDE 11, No. 5, 1113-1142 (2018). Reviewer: Dian K. Palagachev (Bari) MSC: 49J30 49J45 49S05 49N60 PDFBibTeX XMLCite \textit{M. Goldman} et al., Anal. PDE 11, No. 5, 1113--1142 (2018; Zbl 1391.49006) Full Text: DOI arXiv
Hardin, Doug P.; Saff, Edward B.; Vlasiuk, Oleksandr V. Generating point configurations via hypersingular Riesz energy with an external field. (English) Zbl 1361.31007 SIAM J. Math. Anal. 49, No. 1, 646-673 (2017). MSC: 31B15 PDFBibTeX XMLCite \textit{D. P. Hardin} et al., SIAM J. Math. Anal. 49, No. 1, 646--673 (2017; Zbl 1361.31007) Full Text: DOI arXiv
López-García, Abey; Wagner, Douglas A. Asymptotics of the energy of sections of greedy energy sequences on the unit circle, and some conjectures for general sequences. (English) Zbl 1331.31008 Comput. Methods Funct. Theory 15, No. 4, 721-750 (2015). MSC: 31C20 52A40 31C15 PDFBibTeX XMLCite \textit{A. López-García} and \textit{D. A. Wagner}, Comput. Methods Funct. Theory 15, No. 4, 721--750 (2015; Zbl 1331.31008) Full Text: DOI arXiv Link
Brauchart, Johann S.; Grabner, Peter J. Distributing many points on spheres: minimal energy and designs. (English) Zbl 1320.65007 J. Complexity 31, No. 3, 293-326 (2015). MSC: 65C05 65D30 PDFBibTeX XMLCite \textit{J. S. Brauchart} and \textit{P. J. Grabner}, J. Complexity 31, No. 3, 293--326 (2015; Zbl 1320.65007) Full Text: DOI arXiv
Cioslowski, Jerzy; Albin, Joanna Electrostatic self-energies of discrete charge distributions on Jordan curves. (English) Zbl 1331.81437 J. Math. Chem. 52, No. 10, 2520-2531 (2014). MSC: 81V70 31A15 PDFBibTeX XMLCite \textit{J. Cioslowski} and \textit{J. Albin}, J. Math. Chem. 52, No. 10, 2520--2531 (2014; Zbl 1331.81437) Full Text: DOI
Hardin, D. P.; Saff, E. B.; Simanek, B. Periodic discrete energy for long-range potentials. (English) Zbl 1310.74022 J. Math. Phys. 55, No. 12, 123509, 27 p. (2014). Reviewer: Michael Perelmuter (Kyïv) MSC: 74G65 31C20 PDFBibTeX XMLCite \textit{D. P. Hardin} et al., J. Math. Phys. 55, No. 12, 123509, 27 p. (2014; Zbl 1310.74022) Full Text: DOI arXiv
Borodachov, S. V.; Hardin, D. P.; Saff, E. B. Low complexity methods for discretizing manifolds via Riesz energy minimization. (English) Zbl 1304.31006 Found. Comput. Math. 14, No. 6, 1173-1208 (2014). MSC: 31B15 PDFBibTeX XMLCite \textit{S. V. Borodachov} et al., Found. Comput. Math. 14, No. 6, 1173--1208 (2014; Zbl 1304.31006) Full Text: DOI arXiv
Borodachov, S. V.; Bosuwan, N. Asymptotics of discrete Riesz \(d\)-polarization on subsets of \(d\)-dimensional manifolds. (English) Zbl 1294.31009 Potential Anal. 41, No. 1, 35-49 (2014). MSC: 31C20 31C45 28A78 PDFBibTeX XMLCite \textit{S. V. Borodachov} and \textit{N. Bosuwan}, Potential Anal. 41, No. 1, 35--49 (2014; Zbl 1294.31009) Full Text: DOI arXiv
Erdélyi, Tamás; Saff, Edward B. Riesz polarization inequalities in higher dimensions. (English) Zbl 1282.31003 J. Approx. Theory 171, 128-147 (2013). Reviewer: Marius Ghergu (Dublin) MSC: 31B15 78A30 PDFBibTeX XMLCite \textit{T. Erdélyi} and \textit{E. B. Saff}, J. Approx. Theory 171, 128--147 (2013; Zbl 1282.31003) Full Text: DOI arXiv
Benko, David; Dragnev, Peter D. Balayage ping-pong: a convexity of equilibrium measures. (English) Zbl 1250.31003 Constr. Approx. 36, No. 2, 191-214 (2012). MSC: 31A15 33C45 42C05 41A10 PDFBibTeX XMLCite \textit{D. Benko} and \textit{P. D. Dragnev}, Constr. Approx. 36, No. 2, 191--214 (2012; Zbl 1250.31003) Full Text: DOI
Cioslowski, Jerzy; Albin, Joanna Electrostatic energy of polygonal charge distributions. (English) Zbl 1381.78004 J. Math. Chem. 50, No. 6, 1378-1385 (2012). MSC: 78A35 41A21 41A60 92E10 PDFBibTeX XMLCite \textit{J. Cioslowski} and \textit{J. Albin}, J. Math. Chem. 50, No. 6, 1378--1385 (2012; Zbl 1381.78004) Full Text: DOI
López García, A.; Saff, E. B. Asymptotics of greedy energy points. (English) Zbl 1202.31008 Math. Comput. 79, No. 272, 2287-2316 (2010). MSC: 31E05 65D99 52A40 PDFBibTeX XMLCite \textit{A. López García} and \textit{E. B. Saff}, Math. Comput. 79, No. 272, 2287--2316 (2010; Zbl 1202.31008) Full Text: DOI arXiv
Borodachov, S. V.; Hardin, D. P.; Saff, E. B. Asymptotics for discrete weighted minimal Riesz energy problems on rectifiable sets. (English) Zbl 1145.11059 Trans. Am. Math. Soc. 360, No. 3, 1559-1580 (2008). Reviewer: Uta Freiberg (Canberra) MSC: 49Q10 11K41 28A78 52A40 78A30 PDFBibTeX XMLCite \textit{S. V. Borodachov} et al., Trans. Am. Math. Soc. 360, No. 3, 1559--1580 (2008; Zbl 1145.11059) Full Text: DOI arXiv
Brauchart, J. S.; Hardin, D. P.; Saff, E. B. The support of the limit distribution of optimal Riesz energy points on sets of revolution in \(\mathbb R^3\). (English) Zbl 1153.81328 J. Math. Phys. 48, No. 12, 122901, 24 p. (2007). MSC: 31B15 PDFBibTeX XMLCite \textit{J. S. Brauchart} et al., J. Math. Phys. 48, No. 12, 122901, 24 p. (2007; Zbl 1153.81328) Full Text: DOI arXiv
Borodachov, S. V.; Hardin, D. P.; Saff, E. B. Asymptotics of best-packing on rectifiable sets. (English) Zbl 1124.28004 Proc. Am. Math. Soc. 135, No. 8, 2369-2380 (2007). Reviewer: M. Gousidou-Koutita (Thessaloniki) MSC: 28A78 11K41 52A40 PDFBibTeX XMLCite \textit{S. V. Borodachov} et al., Proc. Am. Math. Soc. 135, No. 8, 2369--2380 (2007; Zbl 1124.28004) Full Text: DOI arXiv
Kuijlaars, A. B. J.; Saff, E. B.; Sun, X. On separation of minimal Riesz energy points on spheres in Euclidean spaces. (English) Zbl 1110.49003 J. Comput. Appl. Math. 199, No. 1, 172-180 (2007). Reviewer: Bojidar Cheshankov (Sofia) MSC: 49J10 PDFBibTeX XMLCite \textit{A. B. J. Kuijlaars} et al., J. Comput. Appl. Math. 199, No. 1, 172--180 (2007; Zbl 1110.49003) Full Text: DOI arXiv
Damelin, S. B.; Maymeskul, V. On point energies, separation radius and mesh norm for s-extremal configurations on compact sets in \(\mathbb R^n\). (English) Zbl 1084.52521 J. Complexity 21, No. 6, 845-863 (2005). MSC: 52C99 28A78 31C05 31C20 57N16 PDFBibTeX XMLCite \textit{S. B. Damelin} and \textit{V. Maymeskul}, J. Complexity 21, No. 6, 845--863 (2005; Zbl 1084.52521) Full Text: DOI
Hardin, D. P.; Saff, E. B. Minimal Riesz energy point configurations for rectifiable \(d\)-dimensional manifolds. (English) Zbl 1192.49048 Adv. Math. 193, No. 1, 174-204 (2005). MSC: 49Q15 41A63 28A75 11K36 52A40 28A78 PDFBibTeX XMLCite \textit{D. P. Hardin} and \textit{E. B. Saff}, Adv. Math. 193, No. 1, 174--204 (2005; Zbl 1192.49048) Full Text: DOI arXiv