D. Keating

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math.PR2026

Airy limit for $I^^{2}$ -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 $I^^{2}$ -ensembles is given by the $Airy (I^^{2})$ point process. We extend th…

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…

Airy limit for I^2-additions through Dunkl operators

Diffusive Scaling limit of stochastic Box-Ball systems and PushTASEP

Airy limit for $I^^{2}$ -additions through Dunkl operators