2 papers
math.AP2026
Painlevé Universality classes for the maximal amplitude solution of the Focusing Nonlinear Schrödinger Equation with randomness
Aikaterini Gkogkou, Guido Mazzuca, Kenneth D. T-R McLaughlin
We establish universality for extremal solutions of the focusing nonlinear Schrödinger equation. Extremal solutions are -soliton solutions that achieve the theoretical maximal…
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…