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Bilyk, Dmitriy
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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/..
 
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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/..
 
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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/..
 
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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/..
 
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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/..
 
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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/..
 
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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/..
 
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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/..
 
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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/..
 
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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..
 
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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/..
 
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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/..
 
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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/..
 
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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/..
 
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