On λ-determinants and tiling problems
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Publication:6148962
DOI10.1088/1751-8121/ad0fb2zbMath1530.05018arXiv2308.01365OpenAlexW4388965368MaRDI QIDQ6148962
Jean-François de Kemmeter, Philippe Ruelle, Nicolás Arancibia Robert
Publication date: 12 January 2024
Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2308.01365
Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Determinants, permanents, traces, other special matrix functions (15A15) Elliptic curves (14H52) Combinatorial aspects of tessellation and tiling problems (05B45) Tilings in (2) dimensions (aspects of discrete geometry) (52C20)
Cites Work
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- An inhomogeneous lambda-determinant
- Applications of graphical condensation for enumerating matchings and tilings
- Perfect matchings and the octahedron recurrence
- Alternating sign matrices and descending plane partitions
- Determinants and alternating sign matrices
- Alternating-sign matrices and domino tilings. I
- A complementation theorem for perfect matchings of graphs having a cellular completion
- Generalized domino-shuffling.
- Congruences concerning Legendre polynomials. II
- Domino tilings of the aztec diamond with doubly periodic weightings
- Lambda-determinants and domino-tilings
- On the algebraic difference equations \(u_{n+2}u_n=\psi(u_{n+1})\) in \({\mathbb {R}^+_*}\), related to a family of elliptic quartics in the plane
- A note on domino shuffling
- The Arithmetic of Elliptic Curves
- Double tangent method for two-periodic Aztec diamonds
- Sigma function solution of the initial value problem for Somos 5 sequences
- Arctic curves of the octahedron equation
- Enumeration of perfect matchings in graphs with reflective symmetry
- Biased \(2 \times 2\) periodic Aztec diamond and an elliptic curve
- On the domino shuffle and matrix refactorizations
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