4 papers
Inhomogeneous Geometric Last Passage Percolation and the -deformed Jacobi Unitary Ensemble
Sung-Soo Byun, Yeong-Gwang Jung, Nick Simm
We study directed last passage percolation with geometric weights in a spatially inhomogeneous environment. We derive an explicit limit shape and establish fluctuation limits for t…
-deformation of the Marchenko-Pastur law
Sung-Soo Byun, Yeong-Gwang Jung, Guido Mazzuca
We study a -deformed random unitary ensemble associated with the little- Laguerre weight, which provides a discrete analogue of the classical Laguerre unitary ensemble. In th…
Spectral analysis of -deformed unitary ensembles with the Al-Salam--Carlitz weight
Sung-Soo Byun, Yeong-Gwang Jung, Jaeseong Oh
We study -deformed random unitary ensembles associated with the weight function of the Al-Salam--Carlitz orthogonal polynomials, indexed by a parameter . In the special c…
A universal framework for entanglement detection under group symmetry
Sang-Jun Park, Yeong-Gwang Jung, Jeongeun Park +1
One of the most fundamental questions in quantum information theory is PPT-entanglement of quantum states, which is an NP-hard problem in general. In this paper, however, we prove…