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@Book{Macdonald,
  author     = {Macdonald, I.},
  title      = {Symmetric functions and {H}all polynomials},
  xedition    = {Second},
  isbn       = {0-19-853489-2},
  xnote       = {With contributions by A. Zelevinsky, Oxford Science Publications},
  pages      = {x+475},
  publisher  = {The Clarendon Press, Oxford University Press, New York},
  series     = {Oxford Mathematical Monographs},
  mrclass    = {05E05 (05-02 20C30 20C33 20K01 33C80 33D80)},
  mrnumber   = {1354144 (96h:05207)},
  mrreviewer = {John R. Stembridge},
  year       = {1995},
}

@article{KS96,
author={Knop, F. and Sahi, S.}, 
title={A recursion and a combinatorial formula for Jack polynomials}, 
journal={Invent. Math.}, 
series={128}, 
pages={9--22}, 
year={1997},
doi={10.1007/s002220050134}
}

@article {LLT,
    AUTHOR = {Lascoux, Alain and Leclerc, Bernard and Thibon, Jean-Yves},
     TITLE = {Ribbon tableaux, {H}all-{L}ittlewood functions, quantum affine
              algebras, and unipotent varieties},
   JOURNAL = {J. Math. Phys.},
  FJOURNAL = {Journal of Mathematical Physics},
    VOLUME = {38},
      YEAR = {1997},
    NUMBER = {2},
     PAGES = {1041--1068},
      ISSN = {0022-2488},
   MRCLASS = {05E10 (05E05 33D80 81R10)},
  MRNUMBER = {1434225},
MRREVIEWER = {Thomas Scharf},
       DOI = {10.1063/1.531807},
       optURL = {https://doi.org/10.1063/1.531807},
}

@article {LLT2,
    AUTHOR = {Haglund, J. and Haiman, M. and Loehr, N. and Remmel, J. B. and
              Ulyanov, A.},
     TITLE = {A combinatorial formula for the character of the diagonal
              coinvariants},
   JOURNAL = {Duke Math. J.},
  FJOURNAL = {Duke Mathematical Journal},
    VOLUME = {126},
      YEAR = {2005},
    NUMBER = {2},
     PAGES = {195--232},
      ISSN = {0012-7094},
   MRCLASS = {05E10 (05A30 20C30)},
  MRNUMBER = {2115257},
MRREVIEWER = {Edward E. Allen},
       DOI = {10.1215/S0012-7094-04-12621-1},
       optURL = {https://doi.org/10.1215/S0012-7094-04-12621-1},
}

@incollection{Haiman99,
    AUTHOR = {Haiman, Mark},
     TITLE = {Macdonald polynomials and geometry},
 BOOKTITLE = {New perspectives in algebraic combinatorics ({B}erkeley, {CA},
              1996--97)},
    SERIES = {Math. Sci. Res. Inst. Publ.},
    VOLUME = {38},
     PAGES = {207--254},
 PUBLISHER = {Cambridge Univ. Press, Cambridge},
      YEAR = {1999},
   MRCLASS = {05E05 (14C05)},
  MRNUMBER = {1731818},
}

@incollection {Haiman02,
    AUTHOR = {Haiman, Mark},
     TITLE = {Notes on {M}acdonald polynomials and the geometry of {H}ilbert
              schemes},
 BOOKTITLE = {Symmetric functions 2001: surveys of developments and
              perspectives},
    SERIES = {NATO Sci. Ser. II Math. Phys. Chem.},
    VOLUME = {74},
     PAGES = {1--64},
 PUBLISHER = {Kluwer Acad. Publ., Dordrecht},
      YEAR = {2002},
   MRCLASS = {14C05 (05E05)},
  MRNUMBER = {2059359},
MRREVIEWER = {Raquel Mallavibarrena},
       DOI = {10.1007/978-94-010-0524-1_1},
       optURL = {https://doi.org/10.1007/978-94-010-0524-1_1},
}

@Article{Mac88,
  author    = {Macdonald, I.},
  title     = {A new class of symmetric functions},
  volume    = {20},
  file      = {:M\\Mac1.pdf:PDF},
  journal   = {S{\'e}m. Lothar. Combin},
  owner     = {masonsk},
  timestamp = {2016.05.02},
  year      = {1988},
}

@misc {Ale16,
  TITLE = {Non-symmetric {M}acdonald polynomials and {D}emazure-{L}usztig operators},
  AUTHOR = {Alexandersson, Per},
  YEAR = {2016},
  eprint ="1602.05153",
  note={To appear in S\'em. Lothar. Combin.},
}

@misc {Martin,
 AUTHOR = {Martin, James B.},
 TITLE={Stationary distributions of the multi-type {A}{S}{E}{P}s},
 eprint="1810.10650", 
 year=2018
}

@book{Ges84,
author={Ira M. Gessel},
title={Multipartite {$p$}-partitions and inner products of skew Schur functions},
series={Combinatorics and algebra}, 
publisher={Amer. Math. Soc., Providence, RI}, 
year={1984}
}

@misc {CMW18,
  TITLE = {From multiline queues to Macdonald polynomials via the exclusion process},
  AUTHOR = {Corteel, Sylvie and Mandelshtam, Olya and Williams, Lauren},
  eprint="1811.01024",
  year=2018,
}

@misc {CHMMW,
  TITLE = {Compact formulas for {M}acdonald polynomials and quasisymmetric {M}acdonald polynomials},
  AUTHOR = {Corteel, Sylvie and Haglund, Jim and Mandelshtam, Olya and Mason, Sarah and Williams, Lauren},
  YEAR = {2020},
  eprint="2004.11907",
}

@Article{HLMvW11,
  author     = {Haglund, J. and Luoto, K. and Mason, S. and van Willigenburg, S.},
  title      = {Quasisymmetric {S}chur functions},
  issn       = {0097-3165},
  doi={10.1016/j.jcta.2009.11.002},
  number     = {2},
  pages      = {463--490},
  volume     = {118},
  coden      = {JCBTA7},
  fjournal   = {Journal of Combinatorial Theory. Series A},
  journal    = {J. Combin. Theory Ser. A},
  mrclass    = {05E05},
  mrnumber   = {2739497 (2012c:05342)},
  mrreviewer = {Ira Gessel},
  year       = {2011},
}

@Article{HHL05,
  author    = {J. Haglund and M. Haiman and N. Loehr},
  title     = {A combinatorial formula for {M}acdonald polynomials},
  pages     = {735--761},
  doi={10.1090/S0894-0347-05-00485-6},
  volume    = {18},
  journal   = {J. Amer. Math. Soc},
  owner     = {Sarah},
  timestamp = {2009.08.31},
  year      = {2004},
}

@Article{LoehrNiese,
  author     = {Loehr, N. and Niese, E.},
  title      = {A bijective proof of a factorization formula for specialized {M}acdonald polynomials},
  issn       = {0218-0006},
  doi={10.1007/s00026-012-0162-5},
  number     = {4},
  pages      = {815--828},
  volume     = {16},
  fjournal   = {Annals of Combinatorics},
  journal    = {Ann. Comb.},
  mrclass    = {05E05 (05A05 05A19)},
  mrnumber   = {3000447},
  mrreviewer = {Irina Sviridova},
  year       = {2012},
}

@Article{MarshRietsch,
  author     = {Marsh, R. J. and Rietsch, K.},
  title      = {Parametrizations of flag varieties},
  journal    = {Represent. Theory},
  year       = {2004},
  volume     = {8},
  pages      = {212--242 (electronic)},
  issn       = {1088-4165},
  doi        = {10.1090/S1088-4165-04-00230-4},
  fjournal   = {Representation Theory. An Electronic Journal of the American Mathematical Society},
  mrclass    = {14M15 (20G20)},
  mrnumber   = {2058727 (2005c:14061)},
  mrreviewer = {Philip A. Foth},
}


@Article{HHL08,
  author     = {Haglund, J. and Haiman, M. and Loehr, N.},
  title      = {A combinatorial formula for nonsymmetric {M}acdonald polynomials},
  issn       = {0002-9327},
  number     = {2},
  doi={10.1353/ajm.2008.0015},
  pages      = {359--383},
  volume     = {130},
  coden      = {AJMAAN},
  fjournal   = {American Journal of Mathematics},
  journal    = {Amer. J. Math.},
  mrclass    = {05E05},
  mrnumber   = {2405160},
  mrreviewer = {Pavlo Pylyavskyy},
  year       = {2008},
}

@Article{CMW,
  author     = {Corteel, S. and Mandelshtam, O. and Williams, L.},
  title      = {Combinatorics of the two-species {ASEP} and {K}oornwinder moments},
  issn       = {0001-8708},
  pages      = {160--204},
  volume     = {321},
  fjournal   = {Advances in Mathematics},
  doi={10.1016/j.aim.2017.09.034},
  journal    = {Adv. Math.},
  mrclass    = {82C22 (05D40 05E05 05E10 60J10)},
  mrnumber   = {3715708},
  mrreviewer = {Konrad P. Pi\'oro},
  year       = {2017},
}

@Article{CGW,
  author     = {Cantini, L. and de Gier, J. and Wheeler, M.},
  title      = {Matrix product formula for {M}acdonald polynomials},
  issn       = {1751-8113},
  number     = {38},
  pages      = {384001, 25},
  volume     = {48},
  doi={10.1088/1751-8113/48/38/384001},
  fjournal   = {Journal of Physics. A. Mathematical and Theoretical},
  journal    = {J. Phys. A},
  mrclass    = {33D52 (16T25 20C08)},
  mrnumber   = {3400909},
  mrreviewer = {Vivek Sahai},
  year       = {2015},
}

@Book{Hag08,
  author     = {Haglund, J.},
  title      = {The {$q$},{$t$}-{C}atalan numbers and the space of diagonal harmonics},
  isbn       = {978-0-8218-4411-3; 0-8218-4411-3},
  note       = {With an appendix on the combinatorics of Macdonald polynomials},
  pages      = {viii+167},
  publisher  = {American Mathematical Society, Providence, RI},
  series     = {University Lecture Series},
  volume     = {41},
  mrclass    = {05E05 (05A05 05A30 33D52)},
  mrnumber   = {2371044},
  mrreviewer = {Michael A. Zabrocki},
  year       = {2008},
}

@InCollection{Hai99,
  author    = {Haiman, M.},
  booktitle = {New perspectives in algebraic combinatorics ({B}erkeley, {CA}, 1996--97)},
  title     = {Macdonald polynomials and geometry},
  pages     = {207--254},
  publisher = {Cambridge Univ. Press, Cambridge},
  series    = {Math. Sci. Res. Inst. Publ.},
  volume    = {38},
  mrclass   = {05E05 (14C05)},
  mrnumber  = {1731818},
  year      = {1999},
}

@misc{thesis,
  author    = {Ferreira, J.},
  title     = {Row-strict quasisymmetric Schur functions, characterizations of Demazure atoms, and permuted basement nonsymmetric {M}acdonald polynomials},
  note    = {Ph.D. thesis},
  eprint={1303.3619},
  eprinttype={arxiv}, 
  publisher = {University of California Davis},
  
  year      = {2011},
}

@Article{BerZab05,
  author     = {Bergeron, N. and Zabrocki, M.},
  title      = {{$q$} and {$q$}, {$t$}-analogs of non-commutative symmetric functions},
  issn       = {0012-365X},
  number     = {1-3},
  doi={10.1016/j.disc.2004.08.044},
  pages      = {79--103},
  volume     = {298},
  fjournal   = {Discrete Mathematics},
  journal    = {Discrete Math.},
  mrclass    = {05E05},
  mrnumber   = {2163442},
  mrreviewer = {Ang\`ele M. Hamel},
  year       = {2005},
}

@misc{Fer11,
author={Ferreira, J. P.},
title={Row-strict quasisymmetric Schur functions, characterizations of Demazure atoms, and permuted basement nonsymmetric Macdonald polynomials'},
note={Ph.D. thesis}, 
year=2011, 
url={https://arxiv.org/pdf/1303.3619.pdf}
}

@Article{Lenart,
  author   = {Lenart, C.},
  title    = {On combinatorial formulas for {M}acdonald polynomials},
  issn     = {0001-8708},
  doi={10.1016/j.aim.2008.09.007},
  number   = {1},
  pages    = {324--340},
  volume   = {220},
  fjournal = {Advances in Mathematics},
  journal  = {Adv. Math.},
  mrclass  = {05E05 (33D52)},
  mrnumber = {2462843},
  year     = {2009},
}

@Article{Hiv00,
  author   = {Hivert, F.},
  title    = {Hecke algebras, difference operators, and quasi-symmetric functions},
  issn     = {0001-8708},
  doi={10.1006/aima.1999.1901},
  number   = {2},
  pages    = {181--238},
  volume   = {155},
  fjournal = {Advances in Mathematics},
  journal  = {Adv. Math.},
  mrclass  = {20C08 (05E05 33D80 39A70 81R50)},
  mrnumber = {1794711},
  year     = {2000},
}

@Article{Cher1,
  author     = {Cherednik, I.},
  title      = {Nonsymmetric {M}acdonald polynomials},
  issn       = {1073-7928},
  number     = {10},
  pages      = {483--515},
  fjournal   = {International Mathematics Research Notices},
  journal    = {International Mathematics Research Notices},
  mrclass    = {33D80 (33D45 39A70)},
  mrnumber   = {1358032},
  mrreviewer = {Naihuan Jing},
  year       = {1995},
}

@Article{Opd95,
author={E. M. Opdam},
title={Harmonic analysis for certain representations of graded Hecke algebras}, 
journal={Acta Mathematica},
volume={175},
issue={1},
pages={75--121}, 
year={1995}
}

@Article{Mac95,
 author={I. G. Macdonald}, 
 title={Affine Hecke algebras and orthogonal polynomials},
 journal={S\'{e}minaire Bourbaki}, 
 volume={37},
 pages={189--207},
year={1994--1995}
}