Three interactions of holes in two dimensional dimer systems
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Publication:528997
zbMath1367.52013arXiv1501.05772MaRDI QIDQ528997
Publication date: 18 May 2017
Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1501.05772
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- The interaction of a gap with a free boundary in a two dimensional dimer system
- Rotational invariance of quadromer correlations on the hexagonal lattice
- A proof of the Bender-Knuth conjecture
- Another refinement of the Bender-Knuth (ex-)conjecture
- Lozenge tilings of hexagons with arbitrary dents
- Binomial determinants, paths, and hook length formulae
- Symmetries of plane partitions
- Local statistics of lattice dimers
- Nonintersecting paths, pfaffians, and plane partitions
- A \textit{Mathematica} version of Zeilberger's algorithm for proving binomial coefficient identities
- Bruhat lattices, plane partition generating functions, and minuscule representations
- Proof of two conjectures of Ciucu and Krattenthaler on the enumeration of lozenge tilings of hexagons with cut off corners
- Dimers and amoebae
- Notes on plane partitions. V
- Enumeration of plane partitions
- A factorization theorem for lozenge tilings of a hexagon with triangular holes
- Dimer packings with gaps and electrostatics
- The scaling limit of the correlation of holes on the triangular lattice with periodic boundary conditions
- The major counting of nonintersecting lattice paths and generating functions for tableaux
- A triangular gap of side 2 in a sea of dimers in a 60° angle
- The emergence of the electrostatic field as a Feynman sum in random tilings with holes
- Dimers and families of Cauchy-Riemann operators I
- Statistical Mechanics of Dimers on a Plane Lattice. II. Dimer Correlations and Monomers
- A random tiling model for two dimensional electrostatics
- The asymptotic determinant of the discrete Laplacian
- Enumeration of perfect matchings in graphs with reflective symmetry