Bounds on the concentration function in terms of the Diophantine approximation

Omer Friedland; Sasha Sodin

doi:10.1016/j.crma.2007.10.006

Bounds on the concentration function in terms of the Diophantine approximation

Omer Friedland^*
, Sasha Sodin

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

23 Scopus citations

Abstract

We demonstrate a simple analytic argument that may be used to bound the Lévy concentration function of a sum of independent random variables. The main application is a version of a recent inequality due to Rudelson and Vershynin, and its multidimensional generalization. To cite this article: O. Friedland, S. Sodin, C. R. Acad. Sci. Paris, Ser. I 345 (2007).

Original language	English
Pages (from-to)	513-518
Number of pages	6
Journal	Comptes Rendus Mathematique
Volume	345
Issue number	9
DOIs	https://doi.org/10.1016/j.crma.2007.10.006
State	Published - 1 Nov 2007
Externally published	Yes

Access to Document

10.1016/j.crma.2007.10.006

Cite this

@article{839f915b320f49778cee4fd8a165931b,

title = "Bounds on the concentration function in terms of the Diophantine approximation",

abstract = "We demonstrate a simple analytic argument that may be used to bound the L{\'e}vy concentration function of a sum of independent random variables. The main application is a version of a recent inequality due to Rudelson and Vershynin, and its multidimensional generalization. To cite this article: O. Friedland, S. Sodin, C. R. Acad. Sci. Paris, Ser. I 345 (2007).",

author = "Omer Friedland and Sasha Sodin",

year = "2007",

month = nov,

day = "1",

doi = "10.1016/j.crma.2007.10.006",

language = "אנגלית",

volume = "345",

pages = "513--518",

journal = "Comptes Rendus Mathematique",

issn = "1631-073X",

publisher = "Academie des sciences",

number = "9",

}

TY - JOUR

T1 - Bounds on the concentration function in terms of the Diophantine approximation

AU - Friedland, Omer

AU - Sodin, Sasha

PY - 2007/11/1

Y1 - 2007/11/1

N2 - We demonstrate a simple analytic argument that may be used to bound the Lévy concentration function of a sum of independent random variables. The main application is a version of a recent inequality due to Rudelson and Vershynin, and its multidimensional generalization. To cite this article: O. Friedland, S. Sodin, C. R. Acad. Sci. Paris, Ser. I 345 (2007).

AB - We demonstrate a simple analytic argument that may be used to bound the Lévy concentration function of a sum of independent random variables. The main application is a version of a recent inequality due to Rudelson and Vershynin, and its multidimensional generalization. To cite this article: O. Friedland, S. Sodin, C. R. Acad. Sci. Paris, Ser. I 345 (2007).

UR - https://www.scopus.com/pages/publications/36049009154

U2 - 10.1016/j.crma.2007.10.006

DO - 10.1016/j.crma.2007.10.006

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:36049009154

SN - 1631-073X

VL - 345

SP - 513

EP - 518

JO - Comptes Rendus Mathematique

JF - Comptes Rendus Mathematique

IS - 9

ER -

Bounds on the concentration function in terms of the Diophantine approximation

Abstract

Access to Document

Other files and links

Fingerprint

Cite this