Octonions in random matrix theory

DOI10.1098/rspa.2016.0800zbMath1404.15028arXiv1610.08081OpenAlexW2542595401MaRDI QIDQ4647180

Peter J. Forrester

Publication date: 4 January 2019

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.08081

zbMATH Keywords

random matricesJordan algebrasoctonions

Mathematics Subject Classification ID

Random matrices (algebraic aspects) (15B52) Jordan structures associated with other structures (17C50) Relations with random matrices (11M50) Composition algebras (17A75)

Related Items (2)

The Wishart distribution on symmetric cones ⋮ Volumes and distributions for random unimodular complex and quaternion lattices

Cites Work

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• The octonions
• Matrix models for beta ensembles
• On the Numerical Evaluation of Distributions in Random Matrix Theory: A Review
• Dyson Processes Associated with Associative Algebras: The Clifford Case
• Dyson Processes on the Octonion Algebra
• $N$-by-$N$ Random Matrix Theory with Matrix Representations of Octonions
• A Functional Equation for Wishart's Distribution
• The octonionic eigenvalue problem

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