Bulk asymptotics for polyanalytic correlation kernels

2013/05/09 by Antti Haimi, Haimi, Antti
Mathematics · #Advanced Algebra and Geometry #Complex Variables (math.CV) #FOS: Mathematics #Geometry and complex manifolds #Random Matrices and Applications #math.CV

paper · pdf · doi:10.48550/arxiv.1305.2030

openalex publication_date 2013/05/09 · arxiv created 2013/07/03 · arxiv updated 2013/07/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Universality for mathematical and physical systems
• Matrix models and growth processes: from viscous flows to the quantum Hall effect

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