Octavio Arizmendi

collaborators

3 papers

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.OA2023

Combinatorics of cyclic-conditional freeness

Octavio Arizmendi, Guillaume Cébron, Nicolas Gilliers

This work investigates the combinatorial structures underlying cyclic conditional freeness and introduces cumulants that serve to linearize the cyclic conditional additive convolut…

math.RA2023

On matrices in finite free position

Octavio Arizmendi, Franz Lehner, Amnon Rosenmann

We study pairs $(A, B)$ of square matrices that are in additive (resp. multiplicative) finite free position, that is, the characteristic polynomial $χ_{A + B} (x)$ (resp. $χ_{A B} (x)$ )…

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

Combinatorics of cyclic-conditional freeness

On matrices in finite free position

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