The statistics of dimers on a lattice

1961/12/01 by P.W. Kasteleyn, Piet Kasteleyn · 10 citations
Mathematics · Physics and Astronomy · #Boundary value problem #Combinatorics #Entropy (arrow of time) #Geometry #Ising model #Lattice (music) #Markov Chains and Monte Carlo Methods #Mathematical analysis #Mathematics #Periodic boundary conditions #Pfaffian #Physics #Pure mathematics #Quadratic equation #Quantum mechanics #Statistical physics #Stochastic processes and statistical mechanics #Theoretical and Computational Physics

paper · doi:10.1016/0031-8914(61)90063-5

crossref issued 1961/12/01 · crossref published 1961/12/01 · crossref published-print 1961/12/01 · openalex publication_date 1961/12/01 · crossref created 2002/10/17 · crossref deposited 2019/04/07 · openalex created_date 2025/10/10 · crossref indexed 2026/08/01 · openalex updated_date 2026/08/01

Citations

• Crystal Statistics. I. A Two-Dimensional Model with an Order-Disorder Transition

Cited by

• The Potts model and the Tutte polynomial
• Computing the Tutte Polynomial in Vertex-Exponential Time
• The square lattice Ising model on the rectangle III: Hankel and Toeplitz determinants
• Local statistics of lattice dimers
• Measurement-based quantum computation with the toric code states
• Conformal invariance of domino tiling
• The asymptotic determinant of the discrete Laplacian
• Long-range properties of spanning trees
• Graph Polynomials and Their Applications I: The Tutte Polynomial
• Pfaffian [wikipedia]