85 citations · 298 across the 10 of their papers we have counts for
11 papers
Behaviour of traffic on a link with traffic light boundaries
Lele Zhang, Caley Finn, Timothy M. Garoni +1
This paper considers a single link with traffic light boundary conditions at both ends, and investigates the traffic evolution over time with various signal and system configuratio…
Matrix product and sum rule for Macdonald polynomials
Luigi Cantini, Jan de Gier, Michael Wheeler
We present a new, explicit sum formula for symmetric Macdonald polynomials and show that they can be written as a trace over a product of (infinite dimensional) matrices. The…
Fully packed loop models on finite geometries
Jan de Gier
Fully packed loop models describe the statistics of closely packed nested polygons on the square lattice. Many exact results can be obtained for these models, even for finite geome…
The two-boundary Temperley-Lieb algebra
Jan de Gier, Alexander Nichols
We study a two-boundary extension of the Temperley-Lieb algebra which has recently arisen in statistical mechanics. This algebra lies in a quotient of the affine Hecke algebra of t…
Magic in the spectra of the XXZ quantum chain with boundaries at Delta=0 and Delta=-1/2
Jan de Gier, Alexander Nichols, Pavel Pyatov +1
We show that from the spectra of the U_q (sl(2)) symmetric XXZ spin-1/2 finite quantum chain at Delta=-1/2 (q=e^{pi i/3}) one can obtain the spectra of certain XXZ quantum chains w…
Refined Razumov-Stroganov conjectures for open boundaries
Jan de Gier, Vladimir Rittenberg
Recently it has been conjectured that the ground-state of a Markovian Hamiltonian, with one boundary operator, acting in a link pattern space is related to vertically and horizonta…