Work

The Smallest Eigenvalue of Large Hankel Matrices Associated with a Deformed Gaussian Weight

Year: 2025

Type: article

Abstract: We concentrate on large $$n\times n$$ Hankel matrices generated by a deformed Gaussian weight. By employing an argument from Szegö [15] and utilizing the Coulomb fluid approach, we demonstrate the asymptotic behavior of the smallest eigenvalue of these Hankel matrices.

Source: Journal of Nonlinear Mathematical Physics

DOI: 10.1007/s44198-025-00344-y

Author: Dan Wang

Institution: Changzhou University

Language: English

Topic: Random Matrices and Applications

Subfield: Statistics and Probability

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $1,490

Funders: National Natural Science Foundation of China, Changzhou University