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A Lower Bound for the Mahler Volume of S...

Memarian, Yashar...

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A Lower Bound for the Mahler Volume of Symmetric Convex Sets by Memarian, Yashar ( Author )

Content Provider	Lemonjar Open Access
Publisher	Australian National University
Publication Date	06-09-2023
Summary	The goal of this paper is to present a lower bound for the Mahler volume of at least 4-dimensional symmetric convex bodies. We define a computable dimension dependent constant through a 2-dimensional variational (max-min) procedure and demonstrate that the Mahler volume of every (at least 4-dimensional) symmetric convex body is greater than a (simple) function of this constant. Similar to the proof of Gromov's Waist of the Sphere Theorem in [18], our result is proved via localisation-type arguments obtained from a suitable measurable partition (or partitions) of the canonical sphere.
ISBN	-
Item Type	Article
File Type	pdf
File Size	29.34 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	http://arxiv.org/abs/1501.02009

Citation

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AMA 11th EditionReferences

Memarian, Yashar. A Lower Bound for the Mahler Volume of Symmetric Convex Sets. Australian National University. September 06, 2023. Accessed September 20, 2024. https://online.provdatabase.com/cite/24191

APA 7th EditionReferences

Memarian, Yashar. (2023). A Lower Bound for the Mahler Volume of Symmetric Convex Sets. Australian National University. https://online.provdatabase.com/cite/24191

Chicago 17th EditionReferences

Memarian, Yashar. A Lower Bound for the Mahler Volume of Symmetric Convex Sets. Australian National University. 2023. https://online.provdatabase.com/cite/24191

HarvardReferences

Memarian, Yashar. (2023). A Lower Bound for the Mahler Volume of Symmetric Convex Sets. [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/24191. (Accessed 20 September 2024).

Harvard AustraliaReferences

Memarian, Yashar, 2023, A Lower Bound for the Mahler Volume of Symmetric Convex Sets, Australian National University, viewed 20 September 2024, <https://online.provdatabase.com/cite/24191>

MLA 9th EditionWorks Cited

Memarian, Yashar. A Lower Bound for the Mahler Volume of Symmetric Convex Sets. Australian National University, 2023. PROV Database, https://online.provdatabase.com/cite/24191.

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