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A Moment Majorization principle for rand...

Heilman, Steven...

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A Moment Majorization principle for random matrix ensembles by Heilman, Steven ( Author )

Content Provider	Lemonjar Open Access
Publisher	Australian National University
Publication Date	08-08-2023
Summary	We prove a moment majorization principle for matrix-valued functions with domain $\{-1,1\}^{m}$, $m\in\mathbb{N}$. The principle is an inequality between higher-order moments of a non-commutative multilinear polynomial with different random matrix ensemble inputs, where each variable has small influence and the variables are instantiated independently. This technical result can be interpreted as a noncommutative generalization of one of the two inequalities of the seminal invariance principle of Mossel, O'Donnell and Oleszkiewicz. Applications to noncommutative noise stability and noncommutative anticoncentration are given.
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/1603.05620

Citation

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AMA 11th EditionReferences

Heilman, Steven. A Moment Majorization principle for random matrix ensembles. Australian National University. August 08, 2023. Accessed October 02, 2025. https://online.provdatabase.com/cite/12916

APA 7th EditionReferences

Heilman, Steven. (2023). A Moment Majorization principle for random matrix ensembles. Australian National University. https://online.provdatabase.com/cite/12916

Chicago 17th EditionReferences

Heilman, Steven. A Moment Majorization principle for random matrix ensembles. Australian National University. 2023. https://online.provdatabase.com/cite/12916

HarvardReferences

Heilman, Steven. (2023). A Moment Majorization principle for random matrix ensembles. [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/12916. (Accessed 02 October 2025).

Harvard AustraliaReferences

Heilman, Steven, 2023, A Moment Majorization principle for random matrix ensembles, Australian National University, viewed 02 October 2025, <https://online.provdatabase.com/cite/12916>

MLA 9th EditionWorks Cited

Heilman, Steven. A Moment Majorization principle for random matrix ensembles. Australian National University, 2023. PROV Database, https://online.provdatabase.com/cite/12916.

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