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math-ph2026
Properties of tensorial free cumulants
Thomas Buc-d'Alché, Luca Lionni
In the past two years, several points of view have been proposed to address the question of the generalization of the theory of free probability to random tensors with different in…
math-ph2023
Fay Identities of Pfaffian Type for Hyperelliptic Curves
Gaëtan Borot, Thomas Buc-d'Alché
We establish identities of Pfaffian type for the theta function associated with twice or half the period matrix of a hyperelliptic curve. They are implied by the large size asympto…