Dmitriy Bilyk

466 total citations
18 papers, 124 citations indexed

About

Dmitriy Bilyk is a scholar working on Numerical Analysis, Algebra and Number Theory and Applied Mathematics. According to data from OpenAlex, Dmitriy Bilyk has authored 18 papers receiving a total of 124 indexed citations (citations by other indexed papers that have themselves been cited), including 15 papers in Numerical Analysis, 9 papers in Algebra and Number Theory and 9 papers in Applied Mathematics. Recurrent topics in Dmitriy Bilyk's work include Mathematical Approximation and Integration (15 papers), Analytic Number Theory Research (9 papers) and Advanced Harmonic Analysis Research (6 papers). Dmitriy Bilyk is often cited by papers focused on Mathematical Approximation and Integration (15 papers), Analytic Number Theory Research (9 papers) and Advanced Harmonic Analysis Research (6 papers). Dmitriy Bilyk collaborates with scholars based in United States, Canada and Austria. Dmitriy Bilyk's co-authors include Michael T. Lacey, Loukas Grafakos, Feng Dai, Chang‐Feng Dai, Vladimir Temlyakov, Rui Yu, Jill Pipher and Stefan Steinerberger and has published in prestigious journals such as Journal of Mathematical Analysis and Applications, Transactions of the American Mathematical Society and Advances in Mathematics.

In The Last Decade

Dmitriy Bilyk

17 papers receiving 115 citations

Peers

Dmitriy Bilyk

NA

AM

ANT

CM

AI

Andriy Bondarenko Ukraine

Fredrik Johansson France

С. Б. Стечкин Russia

Alexei Shadrin United Kingdom

Miklós Pálfia Hungary

Ágnes Szántó United States

В. Ф. Бабенко Ukraine

Endre Makai Hungary

Keijo Väänänen Finland

V. K. Dzyadyk Ukraine

Andriy Bondarenko Ukraine

Dmitriy Bilyk

44 ×0.5

NA

59 ×1.3

AM

39 ×0.9

ANT

22 ×1.0

CM

18 ×1.1

AI

Citations per year, relative to Dmitriy Bilyk Dmitriy Bilyk (= 1×) peers Andriy Bondarenko

Countries citing papers authored by Dmitriy Bilyk

Since Specialization

Citations

This map shows the geographic impact of Dmitriy Bilyk's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Dmitriy Bilyk with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Dmitriy Bilyk more than expected).

Fields of papers citing papers by Dmitriy Bilyk

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Dmitriy Bilyk. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Dmitriy Bilyk. The network helps show where Dmitriy Bilyk may publish in the future.

Co-authorship network of co-authors of Dmitriy Bilyk

This figure shows the co-authorship network connecting the top 25 collaborators of Dmitriy Bilyk. A scholar is included among the top collaborators of Dmitriy Bilyk based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Dmitriy Bilyk. Dmitriy Bilyk is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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18 of 18 papers shown

1.

Bilyk, Dmitriy & Stefan Steinerberger. (2025). Regularizing Random Points by Deleting a Few. Journal of Geometric Analysis. 35(11).

2.

Bilyk, Dmitriy, et al.. (2024). Single radius spherical cap discrepancy via gegenbadly approximable numbers. Advances in Mathematics. 452. 109812–109812. 1 indexed citations

3.

Bilyk, Dmitriy, et al.. (2022). Potential theory with multivariate kernels. Mathematische Zeitschrift. 301(3). 2907–2935. 1 indexed citations

4.

Bilyk, Dmitriy, et al.. (2022). Positive definiteness and the Stolarsky invariance principle. Journal of Mathematical Analysis and Applications. 513(2). 126220–126220. 2 indexed citations

5.

Bilyk, Dmitriy & Chang‐Feng Dai. (2018). Geodesic distance Riesz energy on the sphere. Transactions of the American Mathematical Society. 372(5). 3141–3166. 5 indexed citations

6.

Bilyk, Dmitriy, et al.. (2018). The Stolarsky Principle and Energy Optimization on the Sphere. Constructive Approximation. 48(1). 31–60. 13 indexed citations

7.

Bilyk, Dmitriy & Michael T. Lacey. (2017). One-bit sensing, discrepancy and Stolarsky's principle. Sbornik Mathematics. 208(6). 744–763. 4 indexed citations

8.

Bilyk, Dmitriy & Michael T. Lacey. (2017). Однобитовые измерения, дискрепанс и принцип Столярского. Математический сборник. 208(6). 4–25. 2 indexed citations

9.

Bilyk, Dmitriy, et al.. (2015). Diophantine approximations and directional discrepancy of rotated lattices. Transactions of the American Mathematical Society. 368(6). 3871–3897. 2 indexed citations

10.

Bilyk, Dmitriy, et al.. (2013). Dichotomy results for theL1norm of the discrepancy function. Journal of Mathematical Analysis and Applications. 410(1). 1–6. 1 indexed citations

11.

Bilyk, Dmitriy, et al.. (2012). Recent Advances in Harmonic Analysis and Applications. Springer proceedings in mathematics & statistics. 19 indexed citations

12.

Bilyk, Dmitriy, Vladimir Temlyakov, & Rui Yu. (2011). Fibonacci sets and symmetrization in discrepancy theory. Journal of Complexity. 28(1). 18–36. 4 indexed citations

13.

Bilyk, Dmitriy, et al.. (2011). Directional discrepancy in two dimensions. Bulletin of the London Mathematical Society. 43(6). 1151–1166. 3 indexed citations

14.

Bilyk, Dmitriy. (2009). Cyclic shifts of the van der Corput set. Proceedings of the American Mathematical Society. 137(8). 2591–2600. 3 indexed citations

15.

Bilyk, Dmitriy & Michael T. Lacey. (2008). On the small ball inequality in three dimensions. Duke Mathematical Journal. 143(1). 19 indexed citations

16.

Bilyk, Dmitriy, et al.. (2007). On the Small Ball Inequality in all dimensions. Journal of Functional Analysis. 254(9). 2470–2502. 38 indexed citations

17.

Bilyk, Dmitriy & Loukas Grafakos. (2006). Distributional estimates for the bilinear Hilbert transform. Journal of Geometric Analysis. 16(4). 563–584. 6 indexed citations

18.

Bilyk, Dmitriy & Loukas Grafakos. (2005). INTERPLAY BETWEEN DISTRIBUTIONAL ESTIMATES AND BOUNDEDNESS IN HARMONIC ANALYSIS. Bulletin of the London Mathematical Society. 37(3). 427–434. 1 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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