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math.PR2026
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…
math.PR2026
-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…