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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.PR2026
Semilocalization for inhomogeneous random graphs
Thomas Buc-d'Alché, Antti Knowles
We analyse the eigenvectors of the adjacency matrix of a random inhomogeneous graph constructed from a specified degree sequence. We assume that the empirical degree sequence has b…