On the counting of fully packed loop configurations: some new conjectures
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Publication:1883622
zbMath1054.05011arXivmath-ph/0309057MaRDI QIDQ1883622
Publication date: 13 October 2004
Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math-ph/0309057
Combinatorial identities, bijective combinatorics (05A19) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Tilings in (2) dimensions (aspects of discrete geometry) (52C20)
Related Items (18)
Proof of two conjectures of Zuber on fully packed loop configurations ⋮ Fully packed loop configurations in a triangle and Littlewood-Richardson coefficients ⋮ Fully packed loop configurations in a triangle ⋮ On some polynomials enumerating Fully Packed Loop configurations: evaluation at negative values ⋮ Grassmann-Grassmann conormal varieties, integrability, and plane partitions ⋮ Fully packed loop configurations: polynomiality and nested arches ⋮ Fully packed loops in a triangle: matchings, paths and puzzles ⋮ On some ground state components of the O(1) loop model ⋮ Combinatorics of hexagonal fully packed loop configurations ⋮ Proof of the Razumov-Stroganov conjecture ⋮ Wieland drift for triangular fully packed loop configurations ⋮ On some polynomials enumerating fully packed loop configurations ⋮ Refined enumerations of alternating sign triangles ⋮ Triangular fully packed loop configurations of excess 2 ⋮ Connectivity patterns in loop percolation. I: The rationality phenomenon and constant term identities ⋮ Fully Packed Loop Models on Finite Geometries ⋮ Loops, matchings and alternating-sign matrices ⋮ Numerical study of the 6-vertex model with domain wall boundary conditions.
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