Octavio Arizmendi

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math.PR2026

Freeness for the $G$ -circulant Decomposition of the Partial Transpose of Random Matrices

Octavio Arizmendi, Julian Zazueta-Obeso

We introduce a left $G$ -circulant decomposition for matrices indexed by an arbitrary finite group $G$ , extending the diagonal decomposition associated with cyclic groups. We show t…

math.PR2023

Free probability via entropic optimal transport

Octavio Arizmendi, Samuel G. G. Johnston

Let $μ$ and $ν$ be probability measures on $R$ with compact support, and let $μ ⊞ ν$ denote their additive free convolution. We show that for $z \in R$ grea…

Freeness for the G-circulant Decomposition of the Partial Transpose of Random Matrices

Free probability via entropic optimal transport

Freeness for the $G$ -circulant Decomposition of the Partial Transpose of Random Matrices