Résumé : Les mesures finiment additives sur les foliations invariantes de diffeomorphismes hyperboliques"
Lieu : Institut de Mathématiques - MarseilleExporter cet événement
Résumé : TBA
Lieu : CMI, amphiExporter cet événement
Résumé : Let M be an Hermitian nxn matrix (over C) with the given spectrum X. If we take the principal minor M_k of size kxk, what will be the propability of M_k to have the spectrum Y ?
For the simplest case, when k=1, the the observation by Okounkov yields that the distribution of the element M_11 is given by the B-spline with knots in the eigenvalues of M.
More recently, Olshanski in 2013 and Faraut in 2014 showed that for arbitrary k<n the probability is given by the determinants of spline functions.
The talk will be devoted to the discussion of these results, and their generalization to the case of anti-symmetric and Hamiltonian matrices, obtained by the speaker in 2016.
If time permits, we shall also try to discuss how these formulas are connected with the Defosseux’s determinantal point process on the eigenvalues of M and all its principal minors.
Lieu : I2M - Technopôle Château-Gombert
39, rue F. Joliot Curie
13453 Marseille Cedex 13