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Convergence of Kikuchi matrices to $Γ$-independent and $q$-Gaussian limits

Bandeira, Afonso S. et al.
arXiv (All) · Papers
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data-structures-and-algorithmsoperator-algebrasprobability
Kikuchi matrices are a family of structured matrices that were introduced to study problems involving tensors and hypergraphs. We show that, as the ambient dimension grows, dense random Kikuchi matrices have a limit described by a system of $Γ$-independent semicircular elements. This characterizes t
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