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Bilyk, Dmitriy
22
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1
Single radius spherical cap discrepancy via gegenbadly appr..:
Bilyk, Dmitriy
;
Mastrianni, Michelle
;
Steinerberger, Stefan
Advances in Mathematics. 452 (2024) - p. 109812 , 2024
Link:
https://doi.org/10.1016/..
?
2
Lower Bounds for the Directional Discrepancy with Respect t..:
Bilyk, Dmitriy
;
Mastrianni, Michelle
Journal of Fourier Analysis and Applications. 29 (2023) 3 - p. , 2023
Link:
https://doi.org/10.1007/..
?
3
Potential theory with multivariate kernels:
Bilyk, Dmitriy
;
Ferizović, Damir
;
Glazyrin, Alexey
...
Mathematische Zeitschrift. 301 (2022) 3 - p. 2907-2935 , 2022
Link:
https://doi.org/10.1007/..
?
4
Positive definiteness and the Stolarsky invariance principl:
Bilyk, Dmitriy
;
Matzke, Ryan W.
;
Vlasiuk, Oleksandr
Journal of Mathematical Analysis and Applications. 513 (2022) 2 - p. 126220 , 2022
Link:
https://doi.org/10.1016/..
?
5
Optimal measures for $p$-frame energies on spheres:
Bilyk, Dmitriy
;
Glazyrin, Alexey
;
Matzke, Ryan
..
Revista Matemática Iberoamericana. , 2022
Link:
https://doi.org/10.4171/..
?
6
Energy on spheres and discreteness of minimizing measures:
Bilyk, Dmitriy
;
Glazyrin, Alexey
;
Matzke, Ryan
..
Journal of Functional Analysis. 280 (2021) 11 - p. 108995 , 2021
Link:
https://doi.org/10.1016/..
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7
Guest editors' preface:
Bilyk, Dmitriy
;
Hinrichs, Aicke
;
Kuo, Frances Y.
.
Journal of Complexity. 61 (2020) - p. 101511 , 2020
Link:
https://doi.org/10.1016/..
?
8
General and refined Montgomery Lemmata:
Bilyk, Dmitriy
;
Dai, Feng
;
Steinerberger, Stefan
Mathematische Annalen. 373 (2018) 3-4 - p. 1283-1297 , 2018
Link:
https://doi.org/10.1007/..
?
9
BMO and exponential Orlicz space estimates of the discrepan..:
Bilyk, Dmitriy
;
Markhasin, Lev
Journal d'Analyse Mathématique. 135 (2018) 1 - p. 249-269 , 2018
Link:
https://doi.org/10.1007/..
?
10
The Stolarsky Principle and Energy Optimization on the Sphe..:
Bilyk, Dmitriy
;
Dai, Feng
;
Matzke, Ryan
Constructive Approximation. 48 (2018) 1 - p. 31-60 , 2018
Link:
https://doi.org/10.1007/..
?
11
Diophantine approximations and directional discrepancy of r..:
Bilyk, Dmitriy
;
Ma, Xiaomin
;
Pipher, Jill
.
Transactions of the American Mathematical Society. 368 (2016) 6 - p. 3871-3897 , 2016
Link:
https://www.jstor.org/st..
?
12
The Two-Dimensional Small Ball Inequality and Binary Nets:
Bilyk, Dmitriy
;
Feldheim, Naomi
Journal of Fourier Analysis and Applications. 23 (2016) 4 - p. 817-833 , 2016
Link:
https://doi.org/10.1007/..
?
13
Dichotomy results for theL1norm of the discrepancy function:
Amirkhanyan, Gagik
;
Bilyk, Dmitriy
;
Lacey, Michael T.
Journal of Mathematical Analysis and Applications. 410 (2014) 1 - p. 1-6 , 2014
Link:
https://doi.org/10.1016/..
?
14
Fibonacci sets and symmetrization in discrepancy theory:
Bilyk, Dmitriy
;
Temlyakov, V.N.
;
Yu, Rui
Journal of Complexity. 28 (2012) 1 - p. 18-36 , 2012
Link:
https://doi.org/10.1016/..
?
15
Directional discrepancy in two dimensions:
Bilyk, Dmitriy
;
Ma, Xiaomin
;
Pipher, Jill
.
Bulletin of the London Mathematical Society. 43 (2011) 6 - p. 1151-1166 , 2011
Link:
https://doi.org/10.1112/..
1-15