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A remark on the Mahler conjecture : Local minimality of the unit cube. / Nazarov, Fedor; Petrov, Fedor; Ryabogin, Dmitry; Zvavitch, Artem.

In: Duke Mathematical Journal, Vol. 154, No. 3, 01.09.2010, p. 419-430.

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

Harvard

Nazarov, F, Petrov, F, Ryabogin, D & Zvavitch, A 2010, 'A remark on the Mahler conjecture: Local minimality of the unit cube', Duke Mathematical Journal, vol. 154, no. 3, pp. 419-430. https://doi.org/10.1215/00127094-2010-042

APA

Nazarov, F., Petrov, F., Ryabogin, D., & Zvavitch, A. (2010). A remark on the Mahler conjecture: Local minimality of the unit cube. Duke Mathematical Journal, 154(3), 419-430. https://doi.org/10.1215/00127094-2010-042

Vancouver

Nazarov F, Petrov F, Ryabogin D, Zvavitch A. A remark on the Mahler conjecture: Local minimality of the unit cube. Duke Mathematical Journal. 2010 Sep 1;154(3):419-430. https://doi.org/10.1215/00127094-2010-042

Author

Nazarov, Fedor ; Petrov, Fedor ; Ryabogin, Dmitry ; Zvavitch, Artem. / A remark on the Mahler conjecture : Local minimality of the unit cube. In: Duke Mathematical Journal. 2010 ; Vol. 154, No. 3. pp. 419-430.

BibTeX

@article{d5fa9eae44d447669f43fce3778ea888,
title = "A remark on the Mahler conjecture: Local minimality of the unit cube",
abstract = "We prove that the unit cube B∞n is a strict local minimizer for the Mahler volume product voln(K)voln(K*) in the class of origin-symmetric convex bodies endowed with the Banach-Mazur distance.",
author = "Fedor Nazarov and Fedor Petrov and Dmitry Ryabogin and Artem Zvavitch",
year = "2010",
month = sep,
day = "1",
doi = "10.1215/00127094-2010-042",
language = "English",
volume = "154",
pages = "419--430",
journal = "Duke Mathematical Journal",
issn = "0012-7094",
publisher = "Duke University Press",
number = "3",

}

RIS

TY - JOUR

T1 - A remark on the Mahler conjecture

T2 - Local minimality of the unit cube

AU - Nazarov, Fedor

AU - Petrov, Fedor

AU - Ryabogin, Dmitry

AU - Zvavitch, Artem

PY - 2010/9/1

Y1 - 2010/9/1

N2 - We prove that the unit cube B∞n is a strict local minimizer for the Mahler volume product voln(K)voln(K*) in the class of origin-symmetric convex bodies endowed with the Banach-Mazur distance.

AB - We prove that the unit cube B∞n is a strict local minimizer for the Mahler volume product voln(K)voln(K*) in the class of origin-symmetric convex bodies endowed with the Banach-Mazur distance.

UR - http://www.scopus.com/inward/record.url?scp=77957762443&partnerID=8YFLogxK

U2 - 10.1215/00127094-2010-042

DO - 10.1215/00127094-2010-042

M3 - Article

AN - SCOPUS:77957762443

VL - 154

SP - 419

EP - 430

JO - Duke Mathematical Journal

JF - Duke Mathematical Journal

SN - 0012-7094

IS - 3

ER -

ID: 47859091