6 papers
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…
Limit shapes for Domain-Wall (colored) vertex models
Philippe Di Francesco, David Keating
We study partition functions with domain-wall like boundary conditions for path models issued from colored vertex models. These models display an arctic phenomenon, as attested by…
Perfect t-Embeddings of Uniformly Weighted Generalized Tower Graphs
David Keating, Hieu Trung Vu
In this paper, we study sequences of perfect t-embeddings of a uniformly weighted family of graphs we call generalized tower graphs. We show that the embeddings of these graphs sat…
Colored Vertex Models and Interacting Reverse Plane Partitions
Jonah Guse, David Jiang, David Keating
We study the coupling of pairs of reverse plane partitions of the same shape by assigning a certain local interaction between the reverse plane partitions. We show that they are in…
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…
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…