% This is an example bibliography file for FPSAC submissions.

@article{ADPZ23,
      title={Dimer Models and Conformal Structures}, 
      author={Kari Astala and Erik Duse and István Prause and Xiao Zhong},
      year={2023},
      eprint={2004.02599},
      archivePrefix={arXiv},
      primaryClass={math.AP}
}

@article{CK20,
author={Corteel, S. and Kim, J.S.},
title={ENUMERATION  OF  BOUNDED  LECTURE  HALL  TABLEAUX},
journal={S\'{e}minaire Lotharingien de Combinatoire},
year={2020},
volume={81},
pages={Article B81f},
}

@article {bg,
    AUTHOR = {Bufetov, A. and Gorin, V.},
     TITLE = {Representations of classical Lie groups and quantized free convolution},
     journal={Geom.Funct.Anal.},
 volume={25},
 year={2015},
 pages={763-814},
}

@article{BL17,
author={Boutillier, C. and Li, Z.},
title={Limit shape and height fluctuations of random perfect matchings on square-hexagon lattices},
journal={Annales de Institut Fourier},
volume={71},
year={2021},
pages={2305-23876},
}

@article{ZL20,
author={Li, Z.},
title={Limit shape of perfect matchings on contracting bipartite graphs},
journal={International Mathematics Research Notices},
year={2022},
pages={9173-9208},
volume={2022},
}

@article{ckp,
author={Cohn, H. and Kenyon, R. and Propp, J.},
title={A variational principle for domino tilings},
journal={Journal of the American Mathematical Society},
year={2001},
volume={14},
pages={297-346},
}

@article{kr20,
author={Kenyon, R. and Prause, I.},
title={Gradient variational problems in $\mathbb{R}^2$},
eprint={2006.01291},
year={2020},
}

@article{ko07,
author={Kenyon, R. and Okounkov, A.},
title={Limit shapes and the complex burgers equation},
journal={Acta Mathematica},
year={2007},
volume={199},
pages={263-302},
}

@article{SK20,
author={Corteel, S. and Kim, J.S.},
title={Lecture hall tableaux},
journal={Advances in Mathematics},
year={2020},
volume={371},
pages={107226},
}

@article{SKN21,
author={Corteel, S. and Keating, D. and Nicoletti, M.},
title={Arctic Curves Phenomena for Bounded Lecture Hall Tableaux},
journal={Communications in Mathematical Physics},
year={2021},
volume={382},
pages={1449-1493},
}

@article{BE971,
author={Bousquet-M\'elou, M. and Eriksson, K.},
title={Lecture hall partitions},
journal={The Ramanujan Journal},
volume={1},
year={1997},
pages={101-111},
}

@article{BE972,
author={Bousquet-M\'elou, M. and Eriksson, K.},
title={Lecture hall partitions II},
journal={The Ramanujan Journal},
volume={1},
year={1997},
pages={165,186},
}

@article{SC03,
author={Corteel, S. and Savage, C.D.},
title={ Anti-lecture hall compositions},
journal={Discrete Math.},
volume={263},
pages={275-280},
year={2003},
}

@article{SA16,
author={Savage, C.D.},
title={The mathematics of lecture hall partitions},
journal={J. Combin. Theory Ser. A},
volume={144},
pages={443-475},
year={2016},
}

@article{BC06,
author={Boutillier, C.},
title={The bead model and limit behaviors of dimer models},
journal={Ann.~Probab.},
volume={37},
pages={107-142},
year={2009},
}

@article{WS18,
author={Sun, W.},
title={DIMER MODEL, BEAD MODEL AND STANDARD YOUNG
TABLEAUX: FINITE CASES AND LIMIT SHAPES},
year={2018},
eprint={1804.03414}
}

@article {bg16,
    AUTHOR = {Bufetov, A. and Gorin, V.},
     TITLE = {FLUCTUATIONS OF PARTICLE SYSTEMS DETERMINED BY SCHUR GENERATING FUNCTIONS},
     journal={Advances in Mathematics},
 volume={338},
 year={2018},
 pages={702-781},
}

@article{SS07,
author={S. Sheffield},
title={Gaussian free field for mathematicians},
journal={Probab. Theory Relat. Fields},
year={2007},
volume={139},
pages={521-541},
}

@article{dm14,
author={Duse, E. and Metcalfe, A.},
title={Asymptotic geometry of discrete interlaced patterns: Part I},
journal={International Journal of Mathematics},
year={2015},
volume={26},
pages={1550093},
}

@article {bk,
    AUTHOR = {Bufetov, A. and Knizel, A.},
     TITLE = {Asymptotics of random domino tilings of rectangular {A}ztec diamond},
  journal={Ann. Inst. H. Poincaré Probab. Statist.},
 volume={54},
 year={2018},
 pages={1250-1290},
}

@article{Li13,
author={Li, Z.},
title={Conformal invariance of dimer heights on isoradial double graphs},
journal={Ann. Inst. H. Poincaré Sect. D.},
year={2017},
volume={4},
pages={273-307},
}

@article {ZL18,
    AUTHOR = {Li, Z.},
     TITLE = {Schur function at generic points and limit shape of perfect matchings on contracting square hexagon lattices with piecewise boundary conditions},
     volume={2022},
     pages={17591–17661},
     journal={International Mathematics Research Notices},
     year={2021},
}

@article{Li21,
author={Li, Z.},
title={Limit shape of perfect matchings on rail-yard graphs},
journal={International Mathematics Research Notices},
year={2023},
pages={12231–12297},
volume={2023},
}

@article{RK01,
author={Kenyon, R.},
title={Dominos and the {G}aussian free field},
journal={Ann. Probab.},
year={2001},
volume={29},
pages={1128-1137},
}

@article{ZL201,
author={Li, Z.},
title={Asymptotics of Schur functions on almost staircase partitions},
journal={Electronic Communications in Probability},
volume={25},
pages={13pp},
year={2020},
}

@article{LV21,
author={Li, Z. and Vuletic, M.},
title={Asymptotics of pure dimer coverings on rail-yard graphs},
journal={Forum of Mathematics, Sigma},
year={2023},
}

@article{ZL22,
author={Li, Z.},
title={Asymptotics of dimer coverings on free boundary rail-yard graphs},
eprint={2304.00650},
year={2023},
}