Research

Research

My research interests lie at the intersection of random matrix theory, orthogonal polynomials, quantum information theory, and free probability.

Random Matrix Theory Orthogonal Polynomials \(q\)‑analogues Quantum Information Theory Free Probability

Preprints

Preprint

\(q\)‑deformed polyanalytic Ginibre point processes: construction and central limit theorems for linear statistics

Yeong-Gwang Jung, Ryosuke Sato

arXiv

Publications

Journal article

\(q\)‑deformation of the Marchenko–Pastur Law

Yeong-Gwang Jung, Sung-Soo Byun, Guido Mazzuca

International Mathematics Research Notices, 2026(13), rnag134.

Journal arXiv
Journal article

Spectral analysis of \(q\)‑deformed unitary ensembles with the Al-Salam–Carlitz weight

Yeong-Gwang Jung, Sung-Soo Byun, Jaeseong Oh

Annales de l’Institut Henri Poincaré D: Combinatorics, Physics and their Interactions.

Journal arXiv
Journal article

A universal framework for entanglement detection under group symmetry

Yeong-Gwang Jung, Sang-Jun Park, Jeongeun Park, Sang-Gyun Youn

Journal of Physics A: Mathematical and Theoretical, 57, 325304 (2024).

Journal arXiv

Talks

2026

International Workshop on Integrable Systems and Random Matrix Theory

Great Bay University, Dongguan, China.

2025