Planar orthogonal polynomials and boundary universality in the random normal matrix model

Haakan Hedenmalm, Aron Wennman

We show that the planar normalized orthogonal polynomials $P_{m,n}(z)$ of degree $n$ with respect to an exponentially varying planar measure ${\mathrm{e}}^{-2mQ}\mathrm{dA}$ enjoy an…