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math.PR2025
Diffusive Scaling limit of stochastic Box-Ball systems and PushTASEP
David Keating, Minjun Kim, Eva Loeser +1
We introduce the Stochastic Box-Ball System (SBBS), a probabilistic cellular automaton that generalizes the classic Takahashi-Satsuma Box-Ball System. In SBBS, particles are transp…
math.PR2024
Airy limit for -additions through Dunkl operators
David Keating, Jiaming Xu
It is well known that the edge limit of Gaussian/Laguerre Beta-ensembles, as well as a large class of -ensembles is given by the point process. We extend this…
math.PR2023
Asymptotics of Bounded Lecture-Hall Tableaux
David Keating, Zhongyang Li, Istvan Prause
We study weighted bounded \(n\)-lecture hall tableaux with bound \(t_n\) in the joint limit \(n,t_n\to\infty\) with \(t_n/n\toα\in(0,\infty)\). Using their non-intersecting-path re…