フォロー
Oleksandr Vlasiuk
Oleksandr Vlasiuk
Senior software engineer, PTC
確認したメール アドレス: ptc.com - ホームページ
タイトル
引用先
引用先
Optimal measures for p-frame energies on spheres
D Bilyk, A Glazyrin, R Matzke, J Park, O Vlasiuk
Rev. Mat. Iberoam., 2022
262022
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
192021
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
142018
Asymptotic properties of short-range interaction functionals
D Hardin, EB Saff, O Vlasiuk
arXiv preprint arXiv:2010.11937, 2020
82020
A minimum principle for potentials with application to Chebyshev constants
A Reznikov, EB Saff, OV Vlasiuk
Potential Analysis 47, 235-244, 2017
82017
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
82017
Positive results and counterexamples in comonotone approximation II
D Leviatan, IA Shevchuk, OV Vlasiuk
Journal of Approximation Theory 179, 1-23, 2014
52014
Polarization and covering on sets of low smoothness
A Anderson, A Reznikov, O Vlasiuk, E White
Advances in Mathematics 410, 108720, 2022
42022
Positive definiteness and the Stolarsky invariance principle
D Bilyk, RW Matzke, O Vlasiuk
Journal of Mathematical Analysis and Applications 513 (2), 126220, 2022
42022
Potential theory with multivariate kernels
D Bilyk, D Ferizović, A Glazyrin, RW Matzke, J Park, O Vlasiuk
Mathematische Zeitschrift 301 (3), 2907-2935, 2022
42022
Discreteness of the minimizers of weakly repulsive interaction energies on Riemannian manifolds
O Vlasiuk
arXiv preprint arXiv:2003.01597, 2020
42020
Optimal measures for multivariate geometric potentials
D Bilyk, D Ferizović, A Glazyrin, RW Matzke, J Park, O Vlasiuk
arXiv preprint arXiv:2303.14258, 2023
32023
Asymptotics of k-nearest Neighbor Riesz Energies
DP Hardin, EB Saff, O Vlasiuk
Constructive Approximation, 1-51, 2023
22023
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
12023
Riesz energy on self-similar sets
A Reznikov, O Vlasiuk
arXiv preprint arXiv:1810.01557, 2018
12018
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
現在システムで処理を実行できません。しばらくしてからもう一度お試しください。
論文 1–20