Exact sampling with coupled Markov chains and applications to statistical mechanics JG Propp, DB Wilson Random Structures & Algorithms 9 (1‐2), 223-252, 1996 | 1719 | 1996 |

Alternating-sign matrices and domino tilings (Part I) N Elkies, G Kuperberg, M Larsen, J Propp Journal of Algebraic Combinatorics 1, 111-132, 1992 | 542 | 1992 |

A variational principle for domino tilings H Cohn, R Kenyon, J Propp Journal of the American Mathematical Society 14 (2), 297-346, 2001 | 371 | 2001 |

Local statistics for random domino tilings of the Aztec diamond H Cohn, N Elkies, J Propp arXiv preprint math/0008243, 2000 | 278 | 2000 |

The shape of a typical boxed plane partition H Cohn, M Larsen, J Propp New York J. Math 4 (137), 165, 1998 | 278 | 1998 |

How to get a perfectly random sample from a generic Markov chain and generate a random spanning tree of a directed graph JG Propp, DB Wilson Journal of Algorithms 27 (2), 170-217, 1998 | 274 | 1998 |

Chip-firing and rotor-routing on directed graphs AE Holroyd, L Levine, K Mészáros, Y Peres, J Propp, DB Wilson In and out of equilibrium 2, 331-364, 2008 | 253 | 2008 |

Random domino tilings and the arctic circle theorem W Jockusch, J Propp, P Shor arXiv preprint math/9801068, 1998 | 241 | 1998 |

Trees and matchings RW Kenyon, JG Propp, DB Wilson arXiv preprint math/9903025, 1999 | 177 | 1999 |

Enumeration of matchings: problems and progress J Propp arXiv preprint math/9904150, 1999 | 153 | 1999 |

Coupling from the past: A user's guide. J Propp, D Wilson Microsurveys in discrete probability 41, 181-192, 1997 | 134 | 1997 |

The many faces of alternating-sign matrices J Propp Discrete Mathematics & Theoretical Computer Science, 2001 | 133 | 2001 |

Generalized domino-shuffling J Propp Theoretical Computer Science 303 (2-3), 267-301, 2003 | 128 | 2003 |

Lattice structure for orientations of graphs J Propp arXiv preprint math/0209005, 2002 | 125 | 2002 |

The fractional chromatic number of Mycielski's graphs M Larsen, J Propp, D Ullman Journal of Graph Theory 19 (3), 411-416, 1995 | 118 | 1995 |

Rotor walks and Markov chains AE Holroyd, J Propp Algorithmic probability and combinatorics 520, 105-126, 2010 | 102 | 2010 |

The combinatorics of frieze patterns and Markoff numbers J Propp arXiv preprint math/0511633, 2005 | 99 | 2005 |

Homomesy in products of two chains J Propp, T Roby the electronic journal of combinatorics, P3. 4-P3. 4, 2015 | 93 | 2015 |

What is... a sandpile L Levine, J Propp Notices Amer. Math. Soc 57 (8), 976-979, 2010 | 93 | 2010 |

How the alternating sign matrix conjecture was solved D Bressoud, J Propp Notices of the AMS 46 (6), 637-646, 1999 | 93 | 1999 |