
### arXiv: all:"inverse Kasteleyn" AND all:"Aztec diamond"  [200]
  2605.03896v1  2026-05-05  Dimer models on astroidal zig-zag graphs
  2603.27906v1  2026-03-29  Marked GUE-corners process in doubly periodic dimer models
  2405.20284v1  2024-05-30  Fock's dimer model on the Aztec diamond
  2204.06378v3  2022-04-13  Local correlation functions of the two-periodic weighted Aztec diamond in mesoscopic limit
  2110.14505v2  2021-10-27  Dimer-dimer correlations at the rough-smooth boundary
  1504.05176v2  2015-04-20  Dimers on Rail Yard Graphs
  1410.2385v5  2014-10-09  Domino statistics of the two-periodic Aztec diamond
  1303.5279v1  2013-03-21  Tacnode GUE-minor Processes and Double Aztec Diamonds
  1302.0615v2  2013-02-04  Coupling Functions for Domino tilings of Aztec diamonds
  1212.5414v3  2012-12-21  Asymptotic domino statistics in the Aztec diamond

### arXiv: all:Kasteleyn AND all:Aztec AND all:inverse AND all:sum  [200]

### arXiv: abs:Propp AND abs:"open problems" AND abs:matchings  [200]
  2406.18419v3  2024-06-26  Propp's benzels and Lai's nearly symmetric hexagons with holes

### arXiv: all:"Aztec diamond" AND all:Krawtchouk  [200]
  0306216v3  2003-06-13  The arctic circle boundary and the Airy process
  0011250v1  2000-11-29  Non-intersecting Paths, Random Tilings and Random Matrices
  0008243v1  2000-08-31  Local statistics for random domino tilings of the Aztec diamond
  9906120v3  1999-06-18  Discrete orthogonal polynomial ensembles and the Plancherel measure

### arXiv: all:"Kasteleyn-Percus" OR all:"Kasteleyn Percus"  [200]
  0906.4236v3  2009-06-23  Graphical condensation, overlapping Pfaffians and superpositions of matchings
  0108150v2  2001-08-22  Kasteleyn cokernels

### arXiv: all:"Kasteleyn matrix" AND all:"Aztec diamond"  [200]
  2605.03896v1  2026-05-05  Dimer models on astroidal zig-zag graphs
  2603.27906v1  2026-03-29  Marked GUE-corners process in doubly periodic dimer models
  2506.15769v2  2025-06-18  Breakdown of the thermodynamic limit in quantum spin and dimer models
  2405.20284v1  2024-05-30  Fock's dimer model on the Aztec diamond
  2208.01344v3  2022-08-02  On the domino shuffle and matrix refactorizations
  2208.00239v3  2022-07-30  The Schwarzian octahedron recurrence (dSKP equation) I: explicit solutions
  2204.06378v3  2022-04-13  Local correlation functions of the two-periodic weighted Aztec diamond in mesoscopic limit
  2110.14505v2  2021-10-27  Dimer-dimer correlations at the rough-smooth boundary
  1504.05176v2  2015-04-20  Dimers on Rail Yard Graphs
  1410.2385v5  2014-10-09  Domino statistics of the two-periodic Aztec diamond
  1303.5279v1  2013-03-21  Tacnode GUE-minor Processes and Double Aztec Diamonds
  1302.0615v2  2013-02-04  Coupling Functions for Domino tilings of Aztec diamonds
  1212.5414v3  2012-12-21  Asymptotic domino statistics in the Aztec diamond
  0501521v2  2005-01-28  Perfect matchings and perfect powers

### arXiv id_list [200]
  2109.01466v1  published 2021-09-03  updated 2021-09-03
     Problems in the Enumeration of Tilings
     Tri Lai
     journal_ref: -   doi: -
  1212.5414v3  published 2012-12-21  updated 2015-05-28
     Asymptotic domino statistics in the Aztec diamond
     Sunil Chhita; Kurt Johansson; Benjamin Young
     journal_ref: Annals of Applied Probability 2015, Vol. 25, No. 3, 1232-1278   doi: 10.1214/14-AAP1021
  math/0007136v1  published 2000-07-22  updated 2000-07-22
     Edge Effects on Local Statistics in Lattice Dimers: A Study of the Aztec Diamond (Finite Case)
     Harald Helfgott
     journal_ref: -   doi: -
  math/9904150v2  published 1999-04-27  updated 1999-04-28
     Enumeration of Matchings: Problems and Progress
     James Propp
     journal_ref: In: New perspectives in algebraic combinatorics (Berkeley, CA, 1996--97), Math. Sci. Res. Inst. Publ. 38, 255--291, Cambridge Univ. Press, Cambridge (1999).   doi: -
  math/9801061v3  published 1998-01-13  updated 1999-04-27
     Twenty Open Problems in Enumeration of Matchings: Progress Report
     James Propp
     journal_ref: -   doi: -
  1302.0615v2  published 2013-02-04  updated 2013-09-19
     Coupling Functions for Domino tilings of Aztec diamonds
     Sunil Chhita; Benjamin Young
     journal_ref: -   doi: -
  math/9801060v3  published 1998-01-13  updated 1999-04-27
     Twenty Open Problems in Enumeration of Matchings
     James Propp
     journal_ref: -   doi: -

### zbMATH: Aztec diamond inverse Kasteleyn  [200]
  11 results
  6447700  Tacnode GUE-minor processes and double Aztec diamonds  (2015)
  6567869  Domino statistics of the two-periodic Aztec diamond  (2016)
  6441181  Asymptotic domino statistics in the Aztec diamond  (2015)
  7687754  Dimer-dimer correlations at the rough-smooth boundary  (2023)
  6296248  Coupling functions for domino tilings of Aztec diamonds  (2014)
  6827891  Dimers on rail yard graphs  (2017)
  903031572  Dimer models on astroidal zig-zag graphs  (2026)
  7707355  On the domino shuffle and matrix refactorizations  (2023)
  902491194  Fock's dimer model on the Aztec diamond  (2024)
  7673520  Local correlation functions of the two-periodic weighted Aztec diamond in mesoscopic limit  (2023)
  902997340  Marked GUE-corners process in doubly periodic dimer models  (2026)

### zbMATH: ci:0937.05065  [200]
  5 results
  1981403  Perfect matchings and perfect powers  (2003)
  7094564  Lozenge tilings of doubly-intruded hexagons  (2019)
  1383696  Rhombus tilings of a hexagon with three fixed border tiles  (1999)
  6298641  Proof of Blum's conjecture on hexagonal dungeons  (2014)
  6429438  Enumeration of hybrid domino-lozenge tilings  (2014)

### zbMATH: Aztec diamond Krawtchouk Kasteleyn  [404]

### Crossref: inverse Kasteleyn matrix Aztec diamond sum of the entries  [200]
  10.1017/9781108921183.015  Lecture 14: Inverse Kasteleyn Matrix for Trapezoids  Lectures on Random Lozenge Tilings  (2021)
  10.21203/rs.3.rs-2508650/v1  The entry sum of the inverse Cauchy matrix  -  (2023)
  10.1090/gsm/172/12  Tiling of the Aztec diamond  Graduate Studies in Mathematics  (2016)
  10.1016/j.amc.2013.03.084  Bounds for entries of the inverse matrix of a tridiagonal matrix  Applied Mathematics and Computation  (2013)
  10.3030/101272799  ?  -  (2026)
  10.1016/j.disc.2018.07.027  Partial sum of matrix entries of representations of the symmetric group and its asymptotic  Discrete Mathematics  (2018)
  10.26493/2590-9770.1682.fe2  On the maximal sum of the entries of a matrix power  The Art of Discrete and Applied Mathematics  (2024)
  10.1515/gmj-2023-2074  The generalized Drazin inverse of an operator matrix with commuting entries  Georgian Mathematical Journal  (2023)
  10.7554/elife.29742.011  Table 3. Entries of the respone matrix.  -  (None)
  10.4171/jems/1029  The two-periodic Aztec diamond and matrix valued orthogonal polynomials  Journal of the European Mathematical Society  (2020)
  10.3840/07000625  Rotation Matrix Entries  Wolfram Demonstrations Project  (2007)
  10.3840/000625  Rotation Matrix Entries  Wolfram Demonstrations Project  (2007)
  10.1007/s00283-023-10268-4  The Entry Sum of the Inverse Cauchy Matrix  The Mathematical Intelligencer  (2023)
  10.1016/0024-3795(86)90125-4  Completing a matrix when certain entries of its inverse are specified  Linear Algebra and its Applications  (1986)
  10.1016/0010-4655(94)90004-3  Monte Carlo methods for estimating linear combinations of inverse matrix entries in lattic  Computer Physics Communications  (1994)
  10.1080/03081087.2017.1340432  Entries of the group inverse of the Laplacian matrix for generalized Johnson graphs  Linear and Multilinear Algebra  (2017)
  10.2307/2006318  The Hankel Power Sum Matrix Inverse and the Bernoulli Continued Fraction  Mathematics of Computation  (1979)
  10.1007/bf03167215  Approximate eigenvalues, eigenvectors and inverse of a matrix with polynomial entries  Japan Journal of Industrial and Applied Mathematic  (1994)
  10.1103/physrevd.111.034035  Revisiting light-flavor diquarks in the inverse matrix method of QCD sum rules  Physical Review D  (2025)
  10.1093/imanum/12.4.463  Variational bounds on the entries of the inverse of a matrix  IMA Journal of Numerical Analysis  (1992)

### Crossref DOI 10.1016/0031-8914(61)90063-5 [200]
  title: The statistics of dimers on a lattice
  container: Physica  vol 27 no 12 pages 1209-1225  issued [[1961, 12]]
  authors: Kasteleyn, P.W.  type: journal-article

### Crossref DOI 10.1063/1.1664774 [200]
  title: One More Technique for the Dimer Problem
  container: Journal of Mathematical Physics  vol 10 no 10 pages 1881-1884  issued [[1969, 10, 1]]
  authors: Percus, Jerome K.  type: journal-article

### Crossref DOI 10.1023/A:1022420103267 [200]
  title: Alternating-Sign Matrices and Domino Tilings (Part I)
  container: Journal of Algebraic Combinatorics  vol 1 no 2 pages 111-132  issued [[1992, 9]]
  authors: Elkies, Noam; Kuperberg, Greg; Larsen, Michael; Propp, James  type: journal-article

### Crossref DOI 10.1023/A:1022483817303 [200]
  title: Alternating-Sign Matrices and Domino Tilings (Part II)
  container: Journal of Algebraic Combinatorics  vol 1 no 3 pages 219-234  issued [[1992, 11]]
  authors: Elkies, Noam; Kuperberg, Greg; Larsen, Michael; Propp, James  type: journal-article

### Crossref DOI 10.1016/S0246-0203(97)80106-9 [200]
  title: Local statistics of lattice dimers
  container: Annales de l'Institut Henri Poincare (B) Probability and Statistics  vol 33 no 5 pages 591-618  issued [[1997]]
  authors: Kenyon, R  type: journal-article

### Crossref DOI 10.1214/14-AAP1021 [200]
  title: Asymptotic domino statistics in the Aztec diamond
  container: The Annals of Applied Probability  vol 25 no 3 pages 1232-1278  issued [[2015, 6, 1]]
  authors: Chhita, Sunil; Johansson, Kurt; Young, Benjamin  type: journal-article

### Crossref DOI 10.1016/j.aim.2014.01.023 [200]
  title: Coupling functions for domino tilings of Aztec diamonds
  container: Advances in Mathematics  vol 259 no None pages 173-251  issued [[2014, 7]]
  authors: Chhita, Sunil; Young, Benjamin  type: journal-article

### Crossref DOI 10.1090/pspum/110/02020 [200]
  title: Problems in the enumeration of tilings
  container: Proceedings of Symposia in Pure Mathematics  vol None no None pages 293-332  issued [[2024, 9, 5]]
  authors: Lai, Tri  type: other

### Crossref DOI 10.1017/9781009701587.008 [200]
  title: Enumeration of Matchings: Problems and Progress
  container: New Perspectives in Algebraic Combinatorics  vol None no None pages 255-292  issued [[1999, 9, 28]]
  authors: Propp, James  type: other

### Crossref DOI 10.1201/b18255-15 [200]
  title: Tilings
  container: Handbook of Enumerative Combinatorics  vol None no None pages 565-612  issued [[2015, 3, 24]]
  authors:   type: book-chapter

### OpenAlex: search inverse Kasteleyn Aztec [429]

### OpenAlex: Propp 1999 by DOI [200]
  Propp 1999 OpenAlex id W1715153673, cited_by_count 102

### OpenAlex: works citing Propp 1999 [429]

### OpenAlex: Propp 1998 by title [429]

done
