Bulk asymptotics for polyanalytic correlation kernels

Abstract

We study reproducing kernels of weighted spaces of polyanalytic polynomials on the complex plane. The results include a universality result concerning local blow-ups of the kernels near so called bulk points as well as an off-diagonal decay estimate.

References in corpus (5)

• Coulomb gas ensembles and Laplacian growth
• The polyanalytic Ginibre ensembles
• Universality for mathematical and physical systems
• Matrix models and growth processes: from viscous flows to the quantum Hall effect
• Coherent States Quantization for Generalized Bargmann Spaces with Formulae for their Attached Berezin Transforms in Terms of the Laplacian on Cn