4 papers
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…
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…
Enumeration of maps with the Dumitriu-Edelman model
Thomas Buc-d'Alché
We give an expansion in and of the cumulants of power sums of the particles of the -ensemble. This new expansion is obtained using the tridiagonal model of Dumitriu an…
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…