Scaled random hives with GUE boundary conditions converge in probability to a unique continuum hive whose value at a point v is the supremum of a functional over asymptotic height functions of lozenge tilings.
A variational principle for domino tilings
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On the limit of random hives with GUE boundary conditions
Scaled random hives with GUE boundary conditions converge in probability to a unique continuum hive whose value at a point v is the supremum of a functional over asymptotic height functions of lozenge tilings.