Zobrazeno 1 - 10
of 29
pro vyhledávání: '"Alexey Glazyrin"'
Autor:
Alexey Glazyrin
Publikováno v:
Proceedings of the American Mathematical Society. 150:779-793
The paper is devoted to coverings by translative homothets and illuminations of convex bodies. For a given positive number $\alpha$ and a convex body $B$, $g_{\alpha}(B)$ is the infimum of $\alpha$-powers of finitely many homothety coefficients less
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::34e7c11ba0966aec144b7065fa7a5d99
https://doi.org/10.1090/proc/15516
https://doi.org/10.1090/proc/15516
Autor:
Alexey Glazyrin
Publikováno v:
Discrete & Computational Geometry. 69:931-935
In this note, we give a short solution of the kissing number problem in dimension three.
3 pages
3 pages
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9f00871d28e5f53e42908d081b73705f
https://doi.org/10.1007/s00454-021-00311-6
https://doi.org/10.1007/s00454-021-00311-6
Autor:
Dmitriy Bilyk, Damir Ferizović, Alexey Glazyrin, Ryan W. Matzke, Josiah Park, Oleksandr Vlasiuk
In the present paper we develop the theory of minimization for energies with multivariate kernels, i.e. energies, in which pairwise interactions are replaced by interactions between triples or, more generally, $n$-tuples of particles. Such objects, w
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a184fe437e78f2fcd08281174de6ba8e
https://lirias.kuleuven.be/handle/20.500.12942/686140
https://lirias.kuleuven.be/handle/20.500.12942/686140
Autor:
Alexey Glazyrin, Igor Pak
A closed piecewise linear curve is called integral if it is comprised of unit intervals. Kenyon's problem asks whether for every integral curve $\gamma$ in $\mathbb{R}^3$, there is a dome over $\gamma$, i.e. whether $\gamma$ is a boundary of a polyhe
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0fcf7ae6c94a0120477348e5904a05a2
Autor:
Alexey Glazyrin
Publikováno v:
Discrete & Computational Geometry. 62:781-787
We prove that, for any covering of a unit d-dimensional Euclidean ball by smaller balls, the sum of radii of the balls from the covering is greater than d. We also investigate the problem of finding lower and upper bounds for the sum of powers of rad
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9e9a01b2edaaff31d7620b17ba626d73
https://doi.org/10.1007/s00454-018-0010-4
https://doi.org/10.1007/s00454-018-0010-4
Autor:
Wei-Hsuan Yu, Alexey Glazyrin
Publikováno v:
Advances in Mathematics. 330:810-833
The set of points in a metric space is called an s-distance set if pairwise distances between these points admit only s distinct values. Two-distance spherical sets with the set of scalar products { α , − α } , α ∈ [ 0 , 1 ) , are called equia
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::46995603dda8a74c545a44b5b7a99b99
https://doi.org/10.1016/j.aim.2018.03.024
https://doi.org/10.1016/j.aim.2018.03.024
Publikováno v:
Acta Haematologica. 139:84-88
Low-grade follicular lymphomas are genetically characterized by the translocation t(14; 18)(q32;q21) with BCL2 gene rearrangements. Marginal zone lymphomas are often associated with translocations or transcriptional deregulations of the MALT gene. We
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::57ea89b9c6e20929266cdd681c743277
https://doi.org/10.1159/000486360
https://doi.org/10.1159/000486360
In the present paper we study the minimization of energy integrals on the sphere with a focus on an interesting clustering phenomenon: for certain types of potentials, optimal measures are discrete or are supported on small sets. In particular, we pr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0164e9b7cbecb3617d43ebe6e945bd0f
http://arxiv.org/abs/1908.10354
http://arxiv.org/abs/1908.10354
Autor:
Alexey Glazyrin, Filip Morić
We show that the maximum total perimeter ofk plane convex bodies with disjoint interiors lying inside a given convex body C is equal to $\operatorname{per}\, (C)+2(k-1)\operatorname{diam}\, (C)$ , in the case when C is a square or an arbitrary triang
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3fdad4aa2fca1cd5ba0a27d2976b8a92
http://doc.rero.ch/record/325629/files/10474_2013_Article_350.pdf
http://doc.rero.ch/record/325629/files/10474_2013_Article_350.pdf
Autor:
Josiah Park, Alexey Glazyrin
For a collection of $N$ unit vectors $\mathbf{X}=\{x_i\}_{i=1}^N$, define the $p$-frame energy of $\mathbf{X}$ as the quantity $\sum_{i\neq j} |\langle x_i,x_j \rangle|^p$. In this paper, we connect the problem of minimizing this value to another opt
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9871e7a0b7f9299cec46950d33ef199c
http://arxiv.org/abs/1901.06096
http://arxiv.org/abs/1901.06096