169 citations · 1.3k across the 50 of their papers we have counts for
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Separation of variables for symplectic characters
Jan de Gier, Anita Ponsaing
We perform separation of variables for the symplectic Weyl character using Sklyanin's scheme. Viewing the characters as eigenfunctions of a quantum integrable system, we explicitly…
Deformed Kazhdan-Lusztig elements and Macdonald polynomials
Jan de Gier, Alain Lascoux, Mark Sorrell
We introduce deformations of Kazhdan-Lusztig elements and specialised nonsymmetric Macdonald polynomials, both of which form a distinguished basis of the polynomial representation…
Exact spin quantum Hall current between boundaries of a lattice strip
Jan de Gier, Bernard Nienhuis, Anita Ponsaing
Employing an inhomogeneous solvable lattice model, we derive an exact expression for a boundary-to-boundary edge current on a lattice of finite width. This current is an example of…
Autocorrelations in the totally asymmetric simple exclusion process and Nagel-Schreckenberg model
Jan de Gier, Timothy M. Garoni, Zongzheng Zhou
We study via Monte Carlo simulation the dynamics of the Nagel-Schreckenberg model on a finite system of length L with open boundary conditions and parallel updates. We find numeric…