Bulk asymptotics for polyanalytic correlation kernels
Antti Haimi
TL;DR
This paper investigates the asymptotic behavior of polyanalytic correlation kernels, providing universality results near bulk points and decay estimates, advancing understanding of their local and global properties.
Contribution
It introduces new bulk asymptotic results and decay estimates for polyanalytic kernels, extending the theoretical framework of reproducing kernel analysis.
Findings
Universality of kernel blow-ups near bulk points
Off-diagonal decay estimates for kernels
Enhanced understanding of polyanalytic kernel behavior
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsGeometry and complex manifolds · Random Matrices and Applications · Advanced Algebra and Geometry