Work

The Fixed-$q$ Edge Limit of the $q$-Krawtchouk Ensemble

Year: 2026

Type: preprint

Abstract: We study the fixed-$q$ right-edge asymptotics of the ordinary $q$-Krawtchouk ensemble. For $01$, the limiting Jacobi operator is of Al-Salam--Carlitz~I type and is essentially self-adjoint.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.24149

Author: Nikitin, Pavel

Institution: Beijing Institute of Mathematical Sciences and Applications

Language: English

Topic: Mathematical functions and polynomials

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7213995657

Cites: 8

Cited by:

Related to: 10