169 citations · 1.3k across the 50 of their papers we have counts for
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On the integrability of the square-triangle random tiling model
Jan de Gier, Bernard Nienhuis
It is shown that the square-triangle random tiling model is equivalent to an asymmetric limit of the three colouring model on the honeycomb lattice. The latter model is known to be…
The exact solution of an octagonal rectangle triangle random tiling
Jan de Gier, Bernard Nienhuis
We present a detailed calculation of the recently published exact solution of a random tiling model possessing an eight-fold symmetric phase. The solution is obtained using Bethe A…
Operator Spectrum and Exact Exponents of the Fully Packed Loop Model
Jané Kondev, Jan de Gier, Bernard Nienhuis
We develop a Coulomb gas description of the critical fluctuations in the fully packed loop model on the honeycomb lattice. We identify the complete operator spectrum of this model…
Exact Solution of an Octagonal Random Tiling Model
Jan de Gier, Bernard Nienhuis
We consider the two-dimensional random tiling model introduced by Cockayne, i.e. the ensemble of all possible coverings of the plane without gaps or overlaps with squares and vario…