| Orateur(s) | Benoit Collins - Kyoto Univ.,
|
| Titre | The strong asymptotic freeness for random permutations |
| Date | 01/02/2018 |
| Horaire | 10:30 à 11:25 |
|
| Diffusion | |
| Résume | n by n permutation matrices act naturally on the (n-1)-dimensional vector subspace of C^n of vectors whose components add up to zero. We prove that random independent permutations, viewed as operators on this vector subspace, are asymptotically strongly free with high probability. While this is a counterpart of a previous result by the presenter and Male in the case of a uniform distribution on unitary matrices, the techniques required for random permutations are very different, and rely on the development of a matrix version of the theory of non-backtracking operators. We also discuss the case of sums of tensor products of random permutations. This is joint work with Charles Bordenave |
| Salle | salle 13 - couloir 15-16 - 4ème étage |
| Adresse | Campus Pierre et Marie Curie |
