21 citations · 103 across the 19 of their papers we have counts for
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math.PR2023
Limit shapes from harmonicity: dominos and the five vertex model
Richard Kenyon, István Prause
We discuss how to construct limit shapes for the domino tiling model (square lattice dimer model) and -vertex model, in appropriate polygonal domains. Our methods are based on t…
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…
math.PR2021★ 7 cited
The genus-zero five-vertex model
Richard Kenyon, István Prause
We study the free energy and limit shape problem for the five-vertex model with periodic "genus zero" weights. We derive the exact phase diagram, free energy and surface tension fo…