Estimates for the Concentration Functions in the Littlewood-Offord Problem
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| 024 | 7 | 0 | |a 10.1007/s10958-015-2299-3 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10958-015-2299-3 | ||
| 245 | 0 | 0 | |a Estimates for the Concentration Functions in the Littlewood-Offord Problem |h [Elektronische Daten] |c [Yu. Eliseeva, F. Götze, A. Zaitsev] |
| 520 | 3 | |a Let X,X1, . . . , Xn be independent, identically distributed random variables. In this paper, we study the behavior of concentration functions of the weighted sums ∑ k = 1 n a k X k $$ {\displaystyle \sum_{k=1}^n{a}_k{X}_k} $$ with respect to the arithmetic structure of coefficients ak. Such concentration results recently became important in connection with the study of singular values of random matrices. In this paper, we formulate and prove some refinements of a result of Vershynin (2014). | |
| 540 | |a Springer Science+Business Media New York, 2015 | ||
| 700 | 1 | |a Eliseeva |D Yu |u St. Petersburg State University, St. Petersburg, Russia |4 aut | |
| 700 | 1 | |a Götze |D F. |u Bielefeld University, Bielefeld, Germany |4 aut | |
| 700 | 1 | |a Zaitsev |D A. |u St. Petersburg Department of the Steklov Mathematical Institute and St. Petersburg State University, St. Petersburg, Russia |4 aut | |
| 773 | 0 | |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 206/2(2015-04-01), 146-158 |x 1072-3374 |q 206:2<146 |1 2015 |2 206 |o 10958 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10958-015-2299-3 |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10958-015-2299-3 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Eliseeva |D Yu |u St. Petersburg State University, St. Petersburg, Russia |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Götze |D F. |u Bielefeld University, Bielefeld, Germany |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Zaitsev |D A. |u St. Petersburg Department of the Steklov Mathematical Institute and St. Petersburg State University, St. Petersburg, Russia |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 206/2(2015-04-01), 146-158 |x 1072-3374 |q 206:2<146 |1 2015 |2 206 |o 10958 | ||