@Article{Saganpaper,
 Author = {Thomas {McConville} and Bruce E. {Sagan} and Clifford {Smyth}},
 Title = {{On a rank-unimodality conjecture of Morier-Genoud and Ovsienko}},
 FJournal = {{Discrete Mathematics}},
 Journal = {{Discrete Math.}},
 ISSN = {0012-365X},
 Volume = {344},
 Number = {8},
 Pages = {13},
 Note = {Id/No 112483},
 Year = {2021},
 Publisher = {Elsevier (North-Holland), Amsterdam},
 Language = {English},
 DOI = {10.1016/j.disc.2021.112483},
 MSC2010 = {06-XX 06A07 05A15 05A18}
}

@article{originalconj,
    AUTHOR = {Morier-Genoud, Sophie and Ovsienko, Valentin},
     TITLE = {{$q$}-deformed rationals and {$q$}-continued fractions},
   JOURNAL = {Forum Math. Sigma},
  FJOURNAL = {Forum of Mathematics. Sigma},
    VOLUME = {8},
      YEAR = {2020},
     PAGES = {Paper No. e13, 55},
   MRCLASS = {11A55 (05A30 11B57 13F60 57K14)},
  MRNUMBER = {4073883},
MRREVIEWER = {Thomas Garrity},
       DOI = {10.1017/fms.2020.9},
       URL = {https://doi.org/10.1017/fms.2020.9},
}
@misc{rowmotion,
      title={Rowmotion on fences},
      eprinttype = {arxiv}, 
      author={Sergi Elizalde and Matthew Plante and Tom Roby and Bruce Sagan},
      year={2021},
      eprint={2108.12443},
      primaryClass={math.CO}
}



@article{crown,
author = {Munarini, Emanuele and Salvi, Norma},
year = {2002},
month = {12},
pages = {163--177},
title = {On the rank polynomial of the lattice of order ideals of fences and crowns},
volume = {259},
journal = {Discrete Math.},
doi = {10.1016/S0012-365X(02)00378-3}
}


@article{crown2,
author = {Munarini, Emanuele},
title = {A combinatorial interpretation of the {C}hebyshev polynomials},
journal = {SIAM J. Discrete Math.},
volume = {20},
number = {3},
pages = {649--655},
year = {2006},
doi = {10.1137/S0895480103432283},
}

@Book{Stanley,
 Author = {Richard P. {Stanley}},
 Title = {{Enumerative Combinatorics}},
 volume = {1},
 series = {Cambridge Studies in Advanced Mathematics},
 number = {49},
 ISBN = {978-1-107-60262-5; 978-1-107-01542-5; 978-1-139-20056-1},
 Pages = {xiii + 626},
 Year = {2012},
 Publisher = {Cambridge: Cambridge University Press},
 Language = {English},
 MSC2010 = {05-02 05A15 05A16 06A07},
 Zbl = {1247.05003}
}
@misc{claussen2020expansion,
      title={Expansion posets for polygon cluster algebras},
      author={Andrew Claussen},
      year={2020},
      eprint={2005.02083},
      eprinttype ={arXiv},
      primaryClass={math.CO}
}
@misc{ourpaper,
      title={Rank polynomials of fence posets are unimodal},
      eprint = {2112.00518}, 
        eprinttype = {arXiv},
      author={Ezgi Kantarcı O\u{g}uz and Mohan Ravichandran},
      year={2021},
}

@article {leclere,
    AUTHOR = {Leclere, Ludivine and Morier-Genoud, Sophie},
     TITLE = {{$q$}-deformations in the modular group and of the real
              quadratic irrational numbers},
   JOURNAL = {Adv. in Appl. Math.},
  FJOURNAL = {Advances in Applied Mathematics},
    VOLUME = {130},
      YEAR = {2021},
     PAGES = {Paper No. 102223, 28},
      ISSN = {0196-8858},
   MRCLASS = {11A55 (05A30 11F06)},
  MRNUMBER = {4265544},
       DOI = {10.1016/j.aam.2021.102223},
}
       
@unpublished{comingup,
      title={Oriented posets and rank polynomial identities}, 
      author={Ezgi Kantarcı O\u{g}uz},
      note = {In preparation},
}

@misc{arxivcopy,
  doi = {10.48550/ARXIV.2201.03044},
  
  url = {https://arxiv.org/abs/2201.03044},
  
  author = {Elizalde, Sergi and Sagan, Bruce},
  
  keywords = {Combinatorics (math.CO), FOS: Mathematics, FOS: Mathematics, 06A07 (Primary) 05A15, 05A19, 05A20, 06D05 (Secondary)},
  
  title = {Partial rank symmetry of distributive lattices for fences},
  
  publisher = {arXiv},
  
  year = {2022},
  
  copyright = {Creative Commons Attribution 4.0 International}
}