Dmitriy Bilyk

Available identifiers

zbMath Open bilyk.dmitryWikidataQ102276727 ScholiaQ102276727MaRDI QIDQ657646

List of research outcomes

Publication	Date of Publication	Type
Single radius spherical cap discrepancy via gegenbadly approximable numbers	2023-08-01	Paper
A random line intersects $\mathbb{S}^2$ in two probabilistically independent locations	2023-07-09	Paper
Lower bounds for the directional discrepancy with respect to an interval of rotations	2023-05-12	Paper
Optimal Measures for Multivariate Geometric Potentials	2023-03-24	Paper
Optimizers of three-point energies and nearly orthogonal sets	2023-03-21	Paper
Polarization and Greedy Energy on the Sphere	2023-02-25	Paper
Optimal measures for \(p\)-frame energies on spheres	2022-07-27	Paper
Positive definiteness and the Stolarsky invariance principle	2022-05-03	Paper
Energy on spheres and discreteness of minimizing measures	2021-04-23	Paper
1. On some recent developments in uniform distribution and discrepancy theory	2020-07-27	Paper
Geodesic distance Riesz energy on the sphere	2019-08-07	Paper
General and refined Montgomery lemmata	2019-06-04	Paper
Tusnády's problem, the transference principle, and non-uniform QMC sampling	2019-02-18	Paper
On the Fejes Tóth problem about the sum of angles between lines	2018-11-23	Paper
The Stolarsky principle and energy optimization on the sphere	2018-09-14	Paper
BMO and exponential Orlicz space estimates of the discrepancy function in arbitrary dimension	2018-08-16	Paper
One-bit sensing, discrepancy and Stolarsky's principle	2017-10-17	Paper
The two-dimensional small ball inequality and binary nets	2017-10-11	Paper
Diophantine approximations and directional discrepancy of rotated lattices	2016-03-07	Paper
Random Tessellations, Restricted Isometric Embeddings, and One Bit Sensing	2015-12-21	Paper
Roth’s Orthogonal Function Method in Discrepancy Theory and Some New Connections	2015-07-24	Paper
Dichotomy results for the \(L^1\) norm of the discrepancy function	2015-03-10	Paper
The Supremum Norm of the Discrepancy Function: Recent Results and Connections	2014-10-31	Paper
The L 2 Discrepancy of Irrational Lattices	2014-10-31	Paper
The L 2 Discrepancy of Two-Dimensional Lattices	2013-07-23	Paper
Estimates of the Discrepancy Function in Exponential Orlicz Spaces	2013-06-07	Paper
https://portal.mardi4nfdi.de/entity/Q2893499	2012-06-20	Paper
Fibonacci sets and symmetrization in discrepancy theory	2012-01-10	Paper
Directional discrepancy in two dimensions	2011-12-19	Paper
A Three Dimensional Signed Small Ball Inequality	2011-03-09	Paper
Exponential Squared Integrability of the Discrepancy Function in Two Dimensions	2010-02-05	Paper
On the Signed Small Ball Inequality	2010-01-19	Paper
Composition of Haar paraproducts: the random case	2009-12-28	Paper
Cyclic shifts of the van der Corput set	2009-07-23	Paper
On the small ball inequality in three dimensions	2008-06-05	Paper
On the small ball inequality in all dimensions	2008-05-19	Paper
A new way of looking at distributional estimates; application for the bilinear Hilbert transform	2006-12-05	Paper
Distributional estimates for the bilinear Hilbert transform	2006-10-20	Paper
INTERPLAY BETWEEN DISTRIBUTIONAL ESTIMATES AND BOUNDEDNESS IN HARMONIC ANALYSIS	2005-08-01	Paper

Research outcomes over time

Doctoral students

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Known relations from the MaRDI Knowledge Graph

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