分野別セミナー

We consider the random normal matrix model with spectral gaps, where the droplet is not assumed to be connected, but may consist of several disjoint annuli and outposts, which are components of the coincidence set of which fall outside of the droplet.
Ameur-Charlier-Cronvall (2025) provided probabilistic interpretations for the case which the droplet consists of single outpost. It was characterized in terms of Heine distribution. In this talk, I will extend their results to the case of multiple outposts and introduce a proper definition of the multi-dimensional Heine distribution, and provide corresponding probabilistic interpretations for the droplet with several outposts.