Elia Bisi (University of Florence)

will speak on

Random matrices, Young diagrams, and trees

Time: 2:00PM
Date: Wed 11th September 2024
Location: E0.32 (beside Pi restaurant) [map]

Abstract: We consider '$\lambda$-shaped random matrices', whose entries are i.i.d. in the boxes of a given Young diagram and zero elsewhere. In particular, we study their limiting spectral distribution when the shape $\lambda$ is dilated by a growing factor N. The moments of such a distribution are a generalisation of Catalan numbers, and enumerate a combinatorial object which we call $\lambda$-plane trees: these are trees whose vertices are labelled in a way that is 'compatible' with $\lambda$. Based on joint work with Fabio D. Cunden.

(This talk is part of the Probability series.)

PDF notice

Return to all seminars