On the submultiplicativity of matrix norms induced by random vectors [r-libre/3763]

Morneau-Guérin, Frédéric (2025). On the submultiplicativity of matrix norms induced by random vectors [review of the book from Bouthat, Ludovick, & UNSPECIFIED]. Mathematical Reviews.

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Item Type:	Book Reviews
Refereed:	Yes
Status:	Published
Abstract:	In a recent two-part series of articles, A. A. Chavez, S. R. Garcia and J. Hurley [Canad. Math. Bull. 66 (2023), no. 3, 808–826; MR4651637; Canad.Math. Bull. 67 (2024), no. 2, 447–457; MR4751519] introduced a family of norms on the space Mn of n times n complex matrices that are induced by real-valued random vectors whose entries are independent and identically distributed (iid) random variables having finite d-moments where d satisfies d greater or equal to 2. These norms arise from a probabilistic framework, and their construction and validation involve probability theory, partition combinatorics, and trace polynomials in noncommuting variables.
Additional Information:	© Copyright American Mathematical Society 2025
Depositor:	Morneau-Guérin, Frédéric
Owner / Manager:	Frédéric Morneau-Guérin
Deposited:	22 May 2025 13:50
Last Modified:	22 May 2025 13:50

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