153 citations · 388 across the 27 of their papers we have counts for
7 papers · 1 filter
Szegő type correlations for two-dimensional outpost ensembles
Yacin Ameur, Ena Jahic
We consider two-dimensional Coulomb systems for which the coincidence set contains an outpost in the form of a suitable Jordan curve. We study asymptotics for correlations along th…
On the Uniqueness Problem for Quadrature Domains
Yacin Ameur, Martin Helmer, Felix Tellander
We study questions of existence and uniqueness of quadrature domains using computational tools from real algebraic geometry. These problems are transformed into questions about the…
Microscopic densities and Fock-Sobolev spaces
Yacin Ameur, Seong-Mi Seo
We study two-dimensional eigenvalue ensembles close to certain types of singular points in the bulk of the droplet. We prove existence of a microscopic density which quickly approa…
A density theorem for weighted Fekete sets
Yacin Ameur
We prove a result concerning the spreading of weighted Fekete points in the plane.
Beurling-Landau densities of weighted Fekete sets and correlation kernel estimates
Yacin Ameur, Joaquim Ortega-Cerdà
In this paper we discuss equidistribution results for weighted Fekete sets in subsets of the plane. More precisely, we show that Fekete sets are maximally spread out relative to a…
Random normal matrices and Ward identities
Yacin Ameur, Haakan Hedenmalm, Nikolai Makarov
Consider the random normal matrix ensemble associated with a potential on the plane which is sufficiently strong near infinity. It is known that, to a first approximation, the eige…