Optimal measures for p-frame energies on spheres D Bilyk, A Glazyrin, R Matzke, J Park, O Vlasiuk Rev. Mat. Iberoam., 2022 | 26 | 2022 |
Energy on spheres and discreteness of minimizing measures D Bilyk, A Glazyrin, R Matzke, J Park, O Vlasiuk Journal of Functional Analysis 280 (11), 108995, 2021 | 19 | 2021 |
Fast high-dimensional node generation with variable density O Vlasiuk, T Michaels, N Flyer, B Fornberg Computers & Mathematics with Applications 76 (7), 1739-1757, 2018 | 14 | 2018 |
Asymptotic properties of short-range interaction functionals D Hardin, EB Saff, O Vlasiuk arXiv preprint arXiv:2010.11937, 2020 | 8 | 2020 |
A minimum principle for potentials with application to Chebyshev constants A Reznikov, EB Saff, OV Vlasiuk Potential Analysis 47, 235-244, 2017 | 8 | 2017 |
Generating point configurations via hypersingular Riesz energy with an external field DP Hardin, EB Saff, OV Vlasiuk SIAM Journal on Mathematical Analysis 49 (1), 646-673, 2017 | 8 | 2017 |
Positive results and counterexamples in comonotone approximation II D Leviatan, IA Shevchuk, OV Vlasiuk Journal of Approximation Theory 179, 1-23, 2014 | 5 | 2014 |
Polarization and covering on sets of low smoothness A Anderson, A Reznikov, O Vlasiuk, E White Advances in Mathematics 410, 108720, 2022 | 4 | 2022 |
Positive definiteness and the Stolarsky invariance principle D Bilyk, RW Matzke, O Vlasiuk Journal of Mathematical Analysis and Applications 513 (2), 126220, 2022 | 4 | 2022 |
Potential theory with multivariate kernels D Bilyk, D Ferizović, A Glazyrin, RW Matzke, J Park, O Vlasiuk Mathematische Zeitschrift 301 (3), 2907-2935, 2022 | 4 | 2022 |
Discreteness of the minimizers of weakly repulsive interaction energies on Riemannian manifolds O Vlasiuk arXiv preprint arXiv:2003.01597, 2020 | 4 | 2020 |
Optimal measures for multivariate geometric potentials D Bilyk, D Ferizović, A Glazyrin, RW Matzke, J Park, O Vlasiuk arXiv preprint arXiv:2303.14258, 2023 | 3 | 2023 |
Asymptotics of k-nearest Neighbor Riesz Energies DP Hardin, EB Saff, O Vlasiuk Constructive Approximation, 1-51, 2023 | 2 | 2023 |
Optimizers of three-point energies and nearly orthogonal sets D Bilyk, D Ferizović, A Glazyrin, R Matzke, J Park, O Vlasiuk arXiv preprint arXiv:2303.12283, 2023 | 1 | 2023 |
Riesz energy on self-similar sets A Reznikov, O Vlasiuk arXiv preprint arXiv:1810.01557, 2018 | 1 | 2018 |
Correspondence between Electrostatics and Contact Mechanics with Further Results in Equilibrium Charge Distributions J Batle, O Vlasiuk, O Ciftja Annalen der Physik 535 (12), 2300269, 2023 | | 2023 |
Experimental Survey of Discrete Minimizers of the Energy D Bilyk, A Glazyrin, RW Matzke, J Park, O Vlasiuk 2023 57th Asilomar Conference on Signals, Systems, and Computers, 522-529, 2023 | | 2023 |
Energy on spheres and discreteness of minimizing measures D Bilyk, A Glazyrin, R Matzke, J Park, O Vlasiuk Journal of Functional Analysis 280 (11), 108995, 2021 | | 2021 |
Potential theory with multivariate kernels D Ferizović, D Bilyk, RW Matzke, J Park, A Glazyrin, O Vlasiuk | | 2021 |
Riesz energy functionals and their applications O Vlasiuk Vanderbilt University, 2018 | | 2018 |