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@article {CSSW12,
    AUTHOR = {Corteel, S. and Stanley, R. and Stanton, D. and Williams, L. K.},
     TITLE = {Formulae for {A}skey-{W}ilson moments and enumeration of
              staircase tableaux},
   JOURNAL = {Trans. Amer. Math. Soc.},
  FJOURNAL = {Transactions of the American Mathematical Society},
    VOLUME = {364},
      YEAR = {2012},
    NUMBER = {11},
     PAGES = {6009--6037},
      ISSN = {0002-9947},
     CODEN = {TAMTAM},
   MRCLASS = {05A15 (33C45 82B23)},
  MRNUMBER = {2946941},
MRREVIEWER = {Matthieu Josuat-Verg{\`e}s},
       DOI = {10.1090/S0002-9947-2012-05588-7},
       optURL = {https://dx.doi.org/10.1090/S0002-9947-2012-05588-7},
}


@article {USW,
    AUTHOR = {Uchiyama, M. and Sasamoto, T. and Wadati, M.i},
     TITLE = {Asymmetric simple exclusion process with open boundaries and
              {A}skey-{W}ilson polynomials},
   JOURNAL = {J. Phys. A},
  FJOURNAL = {Journal of Physics. A. Mathematical and General},
    VOLUME = {37},
      YEAR = {2004},
    NUMBER = {18},
     PAGES = {4985--5002},
      ISSN = {0305-4470},
     CODEN = {JPHAC5},
   MRCLASS = {82C05 (33D45 33D90 82C26)},
  MRNUMBER = {2065218 (2006d:82047)},
       DOI = {10.1088/0305-4470/37/18/006},
       optURL = {https://dx.doi.org/10.1088/0305-4470/37/18/006},
}

@article {CW18,
    AUTHOR = {Corteel, S. and Williams, L. K.},
     TITLE = {Macdonald-{K}oornwinder moments and the two-species exclusion
              process},
   JOURNAL = {Selecta Math. (N.S.)},
  FJOURNAL = {Selecta Mathematica. New Series},
    VOLUME = {24},
      YEAR = {2018},
    NUMBER = {3},
     PAGES = {2275--2317},
      ISSN = {1022-1824},
   MRCLASS = {05E10 (60C05 60K35 82B23)},
  MRNUMBER = {3816505},
       DOI = {10.1007/s00029-017-0375-x},
       optURL = {https://doi.org/10.1007/s00029-017-0375-x},
}

@Book{Macdonald,
  author     = {Macdonald, I.},
  title      = {Symmetric functions and {H}all polynomials},
  edition    = {Second edition},
  isbn       = {0-19-853489-2},
  note       = {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},
}

@misc{CHMMW,
author={S. Corteel and J. Haglund and O. Mandelshtam and S. Mason and L. K. Williams},
note={Personal communication.},
year=2019
}

@article{AMM1,
      title={Stationary probabilities of the multispecies {TAZRP} and modified {M}acdonald polynomials: {I}},
      author={Arvind Ayyer and Olya Mandelshtam and James B. Martin},
      year={2020},
      eprint={2011.06117},
      archivePrefix={arXiv},
      primaryClass={math.CO}
}

@misc{AMM2,
author={Arvind Ayyer and Olya Mandelshtam and James B. Martin},
title={Stationary probabilities of the multispecies {TAZRP} and modified {M}acdonald polynomials: {II}},
note={In preparation.}
}

@article {LLT,
    AUTHOR = {Lascoux, A. and Leclerc, B. and Thibon, J.-Y.},
     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, M.},
     TITLE = {Macdonald polynomials and geometry},
 BOOKTITLE = {New perspectives in algebraic combinatorics},
    SERIES = {Math. Sci. Res. Inst. Publ.},
    VOLUME = {38},
     PAGES = {207--254},
 PUBLISHER = {Cambridge University Press},
      YEAR = {1999},
   MRCLASS = {05E05 (14C05)},
  MRNUMBER = {1731818},
}

@incollection {Haiman02,
    AUTHOR = {Haiman, M.},
     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},
  journal   = {S{\'e}m. Lothar. Combin},
  year      = {1988},
}

@misc {Al16,
  TITLE = {Non-symmetric {M}acdonald polynomials and {D}emazure-{L}usztig operators},
  AUTHOR = {Alexandersson, P.},
  YEAR = {2016},
  eprint ="1602.05153",
  note={To appear in S\'em. Lothar. Combin.},
}

@article{martin-2020,
author = "Martin, J. B.",
doi = "10.1214/20-EJP421",
fjournal = "Electronic Journal of Probability",
journal = "Electron. J. Probab.",
pages = "41 pp.",
pno = "43",
publisher = "The Institute of Mathematical Statistics and the Bernoulli Society",
title = "Stationary distributions of the multi-type {A}{S}{E}{P}",
optURL = "https://doi.org/10.1214/20-EJP421",
volume = "25",
year = "2020"
}

@unpublished{CMW18,
 title={From multiline queues to {M}acdonald polynomials via the exclusion process},
  author={Corteel, S. and Mandelshtam, O. and Williams, L. K.},
  note={href{https://arxiv.org/abs/1811.01024}{Link.}},
  year={2018}
}

@misc {compactformula,
  TITLE = {Compact formulas for {M}acdonald polynomials and quasisymmetric {M}acdonald polynomials},
  AUTHOR = {Corteel, S. and Haglund, J. and Mandelshtam, O. and Mason, S. and Williams, L. K.},
  URL={https://arxiv.org/abs/2004.11907},
  YEAR = {2020},
}

@Article{HLMV09,
  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},
    journal    = {Amer. J. Math.},
  fjournal   = {American Journal of Mathematics},
  mrclass    = {05E05},
  mrnumber   = {2405160},
  mrreviewer = {Pavlo Pylyavskyy},
  year       = {2008},
}

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

@Article{CGW-2015,
  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 {M}acdonald 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},
  title     = {Macdonald polynomials and geometry},
  pages     = {207--254},
  publisher = {Cambridge University Press},
  series    = {Math. Sci. Res. Inst. Publ.},
  number    = {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},
}

@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{FM07,
 author={Ferrari, P. A. and Martin, J. B.},
 title={Stationary distributions of multi-type totally asymmetric exclusion processes},
 journal={Ann.\ Probab.},
 volume={35},
 issue={3},
 pages={807--832},
 doi={10.1214/009117906000000944},
 year={2007}
 }

@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},
}

@book {stanley-ec1,
    AUTHOR = {Stanley, R. P.},
     TITLE = {Enumerative combinatorics. {V}olume 1},
    SERIES = {Cambridge Studies in Advanced Mathematics},
    VOLUME = {49},
   EDITION = {Second edition},
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      YEAR = {2012},
     PAGES = {xiv+626},
      ISBN = {978-1-107-60262-5},
   MRCLASS = {05-02 (05A15 06-02)},
  MRNUMBER = {2868112},
}

@book {stanley-ec2,
    AUTHOR = {Stanley, R. P.},
     TITLE = {Enumerative combinatorics. {V}ol. 2},
    SERIES = {Cambridge Studies in Advanced Mathematics},
    VOLUME = {62},
      XNOTE = {With a foreword by Gian-Carlo Rota and appendix 1 by Sergey Fomin},
 PUBLISHER = {Cambridge University Press},
   ADDRESS = {Cambridge},
      YEAR = {1999},
     PAGES = {xii+581},
      ISBN = {0-521-56069-1; 0-521-78987-7},
   MRCLASS = {05A15 (05-02 05E05 05E10 68R05)},
  MRNUMBER = {1676282 (2000k:05026)},
MRREVIEWER = {Ira Gessel},
       DOI = {10.1017/CBO9780511609589},
       optURL = {https://dx.doi.org/10.1017/CBO9780511609589},
}

@book{gasper-rahman-2004,
  title={Basic hypergeometric series},
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  volume={96},
  year={2004},
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}

@article {garsia-haiman-1993,
	author = {Garsia, A. M. and Haiman, M.},
	title = {A graded representation model for {M}acdonald{\textquoteright}s polynomials.},
	volume = {90},
	number = {8},
	pages = {3607--3610},
	year = {1993},
	doi = {10.1073/pnas.90.8.3607},
	publisher = {National Academy of Sciences},
	abstract = {We define doubly graded Sn modules Rmu for which we conjecture that the multiplicities of irreducible representations in various bi-degrees are given by the Macdonald coefficients Klambdamu. Assuming one fundamental conjecture, the modules Rmu can be given several equivalent definitions, which we discuss. We prove the conjectures in various special cases.},
	issn = {0027-8424},
	optURL = {https://www.pnas.org/content/90/8/3607},
	journal = {Proceedings of the National Academy of Sciences}
}

@article {diaconis-ram-2012,
    AUTHOR = {Diaconis, P. and Ram, A.},
     TITLE = {A probabilistic interpretation of the {M}acdonald polynomials},
   JOURNAL = {Ann. Probab.},
  FJOURNAL = {The Annals of Probability},
    VOLUME = {40},
      YEAR = {2012},
    NUMBER = {5},
     PAGES = {1861--1896},
      ISSN = {0091-1798},
     CODEN = {APBYAE},
   MRCLASS = {05E05 (60J10)},
  MRNUMBER = {3025704},
       DOI = {10.1214/11-AOP674},
       optURL = {https://dx.doi.org/10.1214/11-AOP674},
}

@article{cantini-etal-2016,
  author={L. Cantini and A. Garbali and J. de Gier and M. Wheeler},
  title={Koornwinder polynomials and the stationary multi-species asymmetric exclusion process with open boundaries},
  journal = {J. Phys. A},
  fjournal={Journal of Physics A: Mathematical and Theoretical},
  volume={49},
  number={44},
  pages={444002},
  url={http://stacks.iop.org/1751-8121/49/i=44/a=444002},
  doi = {10.1088/1751-8113/49/44/444002},
  year={2016}
}

@inproceedings{cantini-2017,
  title={Asymmetric simple exclusion process with open boundaries and {K}oornwinder polynomials},
  author={Cantini, L.},
  booktitle={Annales Henri Poincar{\'e}},
  volume={18},
  series={4},
  pages={1121--1151},
  year={2017},
  organization={Springer}
}


@article {lam-williams-2012,
    AUTHOR = {Lam, T. and Williams, L. K.},
     TITLE = {A {M}arkov chain on the symmetric group that is {S}chubert
              positive?},
   JOURNAL = {Exp. Math.},
  FJOURNAL = {Experimental Mathematics},
    VOLUME = {21},
      YEAR = {2012},
    NUMBER = {2},
     PAGES = {189--192},
      ISSN = {1058-6458},
   MRCLASS = {05E05 (60B15 60J10)},
  MRNUMBER = {2931313},
MRREVIEWER = {Sho Matsumoto},
       DOI = {10.1080/10586458.2011.579020},
       optURL = {https://doi.org/10.1080/10586458.2011.579020},
}

@misc{cantini-2016,
  title={Inhomogenous Multispecies {T}{A}{S}{E}{P} on a ring with spectral parameters},
  author={Cantini, L.},
  note={\href{https://arxiv.org/abs/1602.07921}{Link.}},
  year={2016}
}

@article {kuniba-etal-2016,
    AUTHOR = {Kuniba, A. and Maruyama, S. and Okado, M.},
     TITLE = {Inhomogeneous generalization of a multispecies totally
              asymmetric zero range process},
   JOURNAL = {J. Stat. Phys.},
  FJOURNAL = {Journal of Statistical Physics},
    VOLUME = {164},
      YEAR = {2016},
    NUMBER = {4},
     PAGES = {952--968},
      ISSN = {0022-4715},
   MRCLASS = {82C05},
  MRNUMBER = {3529162},
       DOI = {10.1007/s10955-016-1555-3},
       optURL = {https://doi.org/10.1007/s10955-016-1555-3},
}

@article {sasamoto-1999,
    AUTHOR = {Sasamoto, T.},
     TITLE = {One-dimensional partially asymmetric simple exclusion process
              with open boundaries: orthogonal polynomials approach},
   JOURNAL = {J. Phys. A},
  FJOURNAL = {Journal of Physics. A. Mathematical and General},
    VOLUME = {32},
      YEAR = {1999},
    NUMBER = {41},
     PAGES = {7109--7131},
      ISSN = {0305-4470},
   MRCLASS = {82B20 (33D45 33D90 82B26)},
  MRNUMBER = {1732546},
       DOI = {10.1088/0305-4470/32/41/306},
       optURL = {https://doi.org/10.1088/0305-4470/32/41/306},
}

@article {CW11,
    AUTHOR = {Corteel, S. and Williams, L. K.},
     TITLE = {Tableaux combinatorics for the asymmetric exclusion process
              and {A}skey-{W}ilson polynomials},
   JOURNAL = {Duke Math. J.},
  FJOURNAL = {Duke Mathematical Journal},
    VOLUME = {159},
      YEAR = {2011},
    NUMBER = {3},
     PAGES = {385--415},
      ISSN = {0012-7094},
   MRCLASS = {05E10 (33C45 60K35 82C22)},
  MRNUMBER = {2831874},
MRREVIEWER = {Timo Sepp\"{a}l\"{a}inen},
       DOI = {10.1215/00127094-1433385},
       optURL = {https://doi.org/10.1215/00127094-1433385},
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@article {corteel-williams-2013,
    AUTHOR = {Corteel, S. and Williams, L. K.},
     TITLE = {Erratum to ``{T}ableaux combinatorics for the asymmetric
              exclusion process and {A}skey-{W}ilson polynomials''
              [MR2831874]},
   JOURNAL = {Duke Math. J.},
  FJOURNAL = {Duke Mathematical Journal},
    VOLUME = {162},
      YEAR = {2013},
    NUMBER = {15},
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   MRCLASS = {05E10 (33C45 60K35 82C22)},
  MRNUMBER = {3161309},
       DOI = {10.1215/00127094-2392422},
       optURL = {https://doi.org/10.1215/00127094-2392422},
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@article {borodin-corwin-2014,
    AUTHOR = {Borodin, A. and Corwin, I.},
     TITLE = {Macdonald processes},
   JOURNAL = {Probab. Theory Related Fields},
  FJOURNAL = {Probability Theory and Related Fields},
    VOLUME = {158},
      YEAR = {2014},
    NUMBER = {1-2},
     PAGES = {225--400},
      ISSN = {0178-8051},
   MRCLASS = {60K35 (33D52 60H15 82B23 82C22)},
  MRNUMBER = {3152785},
MRREVIEWER = {Rongfeng Sun},
       DOI = {10.1007/s00440-013-0482-3},
       optURL = {https://doi.org/10.1007/s00440-013-0482-3},
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@article{spitzer-1970,
title = "Interaction of {M}arkov processes ",
journal = "Adv. Math.",
volume = "5",
number = "2",
pages = "246 -- 290",
year = "1970",
note = "",
issn = "0001-8708",
doi = "10.1016/0001-8708(70)90034-4",
optURL = "http://www.sciencedirect.com/science/article/pii/0001870870900344",
author = "F. Spitzer"
}

@book{OLDVERSIONgirard-1884,
 title={Invention nouvelle en l'alg{\`e}bre},
  author={Girard, A.},
  year={1884},
  publisher={Imprim{\'e} chez Mur{\'e} fr{\`e}res}
}

@book{girard-1884,
 title={Invention nouvelle en l'alg{\`e}bre},
 author={Girard, A.},
 year={1629},
 publisher={Amsterdam}
 }
 
@article {garbali-wheeler-2020,
    AUTHOR = {Garbali, Alexandr and Wheeler, Michael},
     TITLE = {Modified {M}acdonald polynomials and integrability},
   JOURNAL = {Comm. Math. Phys.},
  FJOURNAL = {Communications in Mathematical Physics},
    VOLUME = {374},
      YEAR = {2020},
    NUMBER = {3},
     PAGES = {1809--1876},
      ISSN = {0010-3616},
   MRCLASS = {33D52 (05E05)},
  MRNUMBER = {4076089},
       DOI = {10.1007/s00220-020-03680-w},
       xURL = {https://doi.org/10.1007/s00220-020-03680-w},
}

@article{takeyama-2015,
  title={Algebraic construction of multi-species q-Boson system},
  author={Takeyama, Yoshihiro},
  year={2015},
  eprint={1507.02033},
  eprinttype={arxiv},
  archivePrefix={arXiv},
  primaryClass={math-ph}
}
 
@article {kuniba-okado-watanabe-2017,
    AUTHOR = {Kuniba, Atsuo and Okado, Masato and Watanabe, Satoshi},
     TITLE = {Integrable structure of multispecies zero range process},
   JOURNAL = {SIGMA Symmetry Integrability Geom. Methods Appl.},
  FJOURNAL = {SIGMA. Symmetry, Integrability and Geometry. Methods and
              Applications},
    VOLUME = {13},
      YEAR = {2017},
     PAGES = {Paper No. 044, 29},
   MRCLASS = {81R50 (60C99 60J20)},
  MRNUMBER = {3663589},
MRREVIEWER = {Nenad Manojlovi\'{c}},
       DOI = {10.3842/SIGMA.2017.044},
       URL = {https://doi.org/10.3842/SIGMA.2017.044},
}