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math-ph2026
Conditional thinning and multiplicative statistics of Laguerre-type orthogonal polynomial ensembles
Leslie Molag, Guilherme L. F. Silva, Lun Zhang
We study the local statistics of orthogonal polynomial ensembles near a hard edge, subject to a multiplicative deformation of the measure. Probabilistically, this deformation corre…
math.AP2026
Painlevé XXXIV asymptotics for the defocusing nonlinear Schrödinger equation with a finite-genus algebro-geometric background
Engui Fan, Gaozhan Li, Yiling Yang +1
In this paper, we consider the Cauchy problem for the defocusing nonlinear Schrdinger equation with a finite genus algebro-geometric background. Long-time asymptot…