Zobrazeno 1 - 10
of 15
pro vyhledávání: '"Maryna Viazovska"'
Publikováno v:
Oberwolfach Reports. 17:1317-1383
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ecdcc3cd6953cd3cecbab30a52cabc6a
https://doi.org/10.4171/owr/2020/26
https://doi.org/10.4171/owr/2020/26
Autor:
Maryna Viazovska
Publikováno v:
Proceedings of the International Congress of Mathematicians (ICM 2018).
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3f69299cbc5d639405e5e57fd9a4f258
https://doi.org/10.1142/9789813272880_0063
https://doi.org/10.1142/9789813272880_0063
Autor:
Danylo Radchenko, Maryna Viazovska
Publikováno v:
Publications mathématiques de l'IHÉS
In this paper we construct an explicit interpolation formula for Schwartz functions on the real line. The formula expresses the value of a function at any given point in terms of the values of the function and its Fourier transform on the set $\{0,\p
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e0c533ea7e0407f46e1f144ea7321c1b
https://hdl.handle.net/21.11116/0000-0004-8AB0-921.11116/0000-0004-8AB1-821.11116/0000-0004-8AAE-D
https://hdl.handle.net/21.11116/0000-0004-8AB0-921.11116/0000-0004-8AB1-821.11116/0000-0004-8AAE-D
Publikováno v:
Contemporary Computational Mathematics-A Celebration of the 80th Birthday of Ian Sloan ISBN: 9783319724553
We prove that there is no strongly regular graph (SRG) with parameters (460, 153, 32, 60). The proof is based on a recent lower bound on the number of 4-cliques in a SRG and some applications of Euclidean representation of SRGs.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fedf5655455c2b64321d55e1edd102cd
https://doi.org/10.1007/978-3-319-72456-0_7
https://doi.org/10.1007/978-3-319-72456-0_7
Autor:
Maria Roslova, Sabine Wurmehl, T. Wolf, Bernd Büchner, Timur K. Kim, Robert Beck, Vladimir N. Strocov, V. B. Zabolotnyy, J. Maletz, Alexander Yaresko, Helmuth Berger, Luminita Harnagea, Maryna Viazovska, Saicharan Aswartham, V. A. Rogalev, Sergey Borisenko, Igor Morozov, Nikolai D. Zhigadlo, Daniil Evtushinsky, A. A. Kordyuk
Publikováno v:
Physical Review B. 96
One of the most unique and robust experimental facts about iron-based superconductors is the renormalization of the electronic band dispersion by factor of 3 and more near the Fermi level. Obviously related to the electron pairing, this prominent dev
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f08160f44cad487a4022c15b4458792c
https://doi.org/10.1103/physrevb.96.060501
https://doi.org/10.1103/physrevb.96.060501
Publikováno v:
Annals of Mathematics
Building on Viazovska's recent solution of the sphere packing problem in eight dimensions, we prove that the Leech lattice is the densest packing of congruent spheres in twenty-four dimensions and that it is the unique optimal periodic packing. In pa
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::76029a217d793b1854c6216e226691cd
https://hdl.handle.net/21.11116/0000-0004-08A5-921.11116/0000-0004-08A6-821.11116/0000-0004-08A3-B
https://hdl.handle.net/21.11116/0000-0004-08A5-921.11116/0000-0004-08A6-821.11116/0000-0004-08A3-B
Autor:
Maryna Viazovska
In this paper we prove that no packing of unit balls in Euclidean space $\mathbb{R}^8$ has density greater than that of the $E_8$-lattice packing.
Comment: 22 pages, 2 figures
Comment: 22 pages, 2 figures
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b79201f48ba2f8b083ad753c09ee4273
Autor:
Andriy Bondarenko, Maryna Viazovska
Publikováno v:
Journal of Approximation Theory. 152(1):101-106
Let N(n, t) be the minimal number of points in a spherical t-design on the unit sphere S^n in R^{n+1}. For each n >= 3, we prove a new asymptotic upper bound N(n, t) 10.
12 pages
12 pages
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::54143f68b11c0b75400066582d2afbaa
Publikováno v:
Constructive Approximation. an International Journal for Approximations and Expansions
For each \(N\ge C_dt^d\), we prove the existence of a well-separated spherical \(t\)-design in the sphere \(S^d\) consisting of \(N\) points, where \(C_d\) is a constant depending only on \(d\).
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::186b18ed8495c4b09efdfea5fbb4a674
https://hdl.handle.net/21.11116/0000-0004-12DA-221.11116/0000-0004-12DB-121.11116/0000-0004-12D8-4
https://hdl.handle.net/21.11116/0000-0004-12DA-221.11116/0000-0004-12DB-121.11116/0000-0004-12D8-4