% This is an example bibliography file for FPSAC submissions.


@article {IMS23,
    AUTHOR = {Imamura, Takashi and Mucciconi, Matteo and Sasamoto, Tomohiro},
     TITLE = {Skew {RSK} dynamics: {G}reene invariants, affine crystals and
              applications to {$q$}-{W}hittaker polynomials},
   JOURNAL = {Forum Math. Pi},
  FJOURNAL = {Forum of Mathematics. Pi},
    VOLUME = {11},
      YEAR = {2023},
     PAGES = {Paper No. e27, 101},
   MRCLASS = {05E05 (05A19 05E10)},
  MRNUMBER = {4657061},
       DOI = {10.1017/fmp.2023.23}
}

@misc{IMS21,
      title={Identity between restricted {C}auchy sums for the $q$-{W}hittaker and skew {S}chur polynomials}, 
      author={Takashi Imamura and Matteo Mucciconi and Tomohiro Sasamoto},
      year={2021},
      eprint={2106.11913},
      archivePrefix={arXiv},
      primaryClass={math.CO}
}

@misc{IMS22,
  author = {Imamura, Takashi and Mucciconi, Matteo and Sasamoto, Tomohiro},
  title = {Solvable models in the {KPZ} class: approach through periodic and free boundary {S}chur measures},
  archivePrefix={arXiv},
  year = {2022},
  eprint = {2204.08420},
  primaryClass={math.PR}
}

@misc{HW23,
      title={Periodic $q$-{W}hittaker and {H}all-{L}ittlewood processes}, 
      author={Jimmy He and Michael Wheeler},
      year={2023},
      eprint={2310.03527},
      archivePrefix={arXiv},
      primaryClass={math.PR}
}

@misc{HW24+,
      title={Free boundary $q$-{W}hittaker and {H}all-{L}ittlewood processes}, 
      author={Jimmy He and Michael Wheeler},
      note={In preparation}
}


@article {W06,
    AUTHOR = {Warnaar, S. Ole},
     TITLE = {Rogers-{S}zeg\"{o} polynomials and {H}all-{L}ittlewood symmetric
              functions},
   JOURNAL = {J. Algebra},
  FJOURNAL = {Journal of Algebra},
    VOLUME = {303},
      YEAR = {2006},
    NUMBER = {2},
     PAGES = {810--830},
   MRCLASS = {05E05 (33D52)},
  MRNUMBER = {2255138},
MRREVIEWER = {Mercedes H. Rosas},
       DOI = {10.1016/j.jalgebra.2006.04.026}
}


@article {H24,
    AUTHOR = {He, Jimmy},
     TITLE = {Boundary current fluctuations for the half-space {ASEP} and
              six-vertex model},
   JOURNAL = {Proc. Lond. Math. Soc. (3)},
  FJOURNAL = {Proceedings of the London Mathematical Society. Third Series},
    VOLUME = {128},
      YEAR = {2024},
    NUMBER = {2},
     PAGES = {Paper No. e12585, 59},
   MRCLASS = {82C23 (60K35 82C20 82C26)},
  MRNUMBER = {4753777},
DOI={10.1112/plms.12585}
}


@article {BBCW18,
    AUTHOR = {Barraquand, Guillaume and Borodin, Alexei and Corwin, Ivan and
              Wheeler, Michael},
     TITLE = {Stochastic six-vertex model in a half-quadrant and half-line
              open asymmetric simple exclusion process},
   JOURNAL = {Duke Math. J.},
  FJOURNAL = {Duke Mathematical Journal},
    VOLUME = {167},
      YEAR = {2018},
    NUMBER = {13},
     PAGES = {2457--2529},
   MRCLASS = {60K35 (05E10 60H15 82B23 82D30)},
  MRNUMBER = {3855355},
       DOI = {10.1215/00127094-2018-0019}
}


@article {BBC20,
    AUTHOR = {Barraquand, Guillaume and Borodin, Alexei and Corwin, Ivan},
     TITLE = {Half-space {M}acdonald processes},
   JOURNAL = {Forum Math. Pi},
  FJOURNAL = {Forum of Mathematics. Pi},
    VOLUME = {8},
      YEAR = {2020},
     PAGES = {e11, 150},
   MRCLASS = {60B99 (05E05 35R60 60B20 60K35 82B23 82D60)},
  MRNUMBER = {4108914},
       DOI = {10.1017/fmp.2020.3}
}


@article {BC14,
    AUTHOR = {Borodin, Alexei and Corwin, Ivan},
     TITLE = {Macdonald processes},
   JOURNAL = {Probab. Theory Related Fields},
  FJOURNAL = {Probability Theory and Related Fields},
    VOLUME = {158},
      YEAR = {2014},
    NUMBER = {1-2},
     PAGES = {225--400},
   MRCLASS = {60K35 (33D52 60H15 82B23 82C22)},
  MRNUMBER = {3152785},
MRREVIEWER = {Rongfeng\ Sun},
       DOI = {10.1007/s00440-013-0482-3}
}

@article {BCF14,
    AUTHOR = {Borodin, Alexei and Corwin, Ivan and Ferrari, Patrik},
     TITLE = {Free energy fluctuations for directed polymers in random media
              in {$1+1$} dimension},
   JOURNAL = {Comm. Pure Appl. Math.},
  FJOURNAL = {Communications on Pure and Applied Mathematics},
    VOLUME = {67},
      YEAR = {2014},
    NUMBER = {7},
     PAGES = {1129--1214},
   MRCLASS = {82D10 (60B20 60H15 60K35 60K37)},
  MRNUMBER = {3207195},
       DOI = {10.1002/cpa.21520}
}

@article {RW21,
    AUTHOR = {Rains, Eric and Warnaar, S. Ole},
     TITLE = {Bounded {L}ittlewood identities},
   JOURNAL = {Mem. Amer. Math. Soc.},
  FJOURNAL = {Memoirs of the American Mathematical Society},
    VOLUME = {270},
      YEAR = {2021},
    NUMBER = {1317},
     PAGES = {vii+115},
      ISBN = {978-1-4704-4690-1; 978-1-4704-6522-3},
   MRCLASS = {05-02 (05A30 05E05 11P84 17B67 33D67)},
  MRNUMBER = {4259867},
       DOI = {10.1090/memo/1317}
}

@article {FV17,
    AUTHOR = {Finn, C. and Vanicat, M.},
     TITLE = {Matrix product construction for {K}oornwinder polynomials and
              fluctuations of the current in the open {ASEP}},
   JOURNAL = {J. Stat. Mech. Theory Exp.},
  FJOURNAL = {Journal of Statistical Mechanics: Theory and Experiment},
      YEAR = {2017},
    NUMBER = {2},
     PAGES = {023102, 32},
   MRCLASS = {82C05},
  MRNUMBER = {3637227},
MRREVIEWER = {Prasanta\ Mahato},
       DOI = {10.1088/1742-5468/aa569b}
}

@book {M79,
    AUTHOR = {Macdonald, I. G.},
     TITLE = {Symmetric functions and {H}all polynomials},
      NOTE = {Oxford Mathematical Monographs},
 PUBLISHER = {The Clarendon Press, Oxford University Press, New York},
      YEAR = {1979},
     PAGES = {viii+180},
}

@article {K21,
    AUTHOR = {Koshida, Shinji},
     TITLE = {Free field theory and observables of periodic {M}acdonald
              processes},
   JOURNAL = {J. Combin. Theory Ser. A},
  FJOURNAL = {Journal of Combinatorial Theory. Series A},
    VOLUME = {182},
      YEAR = {2021},
     PAGES = {Paper No. 105473, 42},
   MRCLASS = {05E05 (33C52 60K35)},
  MRNUMBER = {4253322},
MRREVIEWER = {Maciej\ Do\l \polhk{e}ga},
       DOI = {10.1016/j.jcta.2021.105473},
       URL = {https://doi.org/10.1016/j.jcta.2021.105473},
}

@article {B07,
    AUTHOR = {Borodin, Alexei},
     TITLE = {Periodic {S}chur process and cylindric partitions},
   JOURNAL = {Duke Math. J.},
  FJOURNAL = {Duke Mathematical Journal},
    VOLUME = {140},
      YEAR = {2007},
    NUMBER = {3},
     PAGES = {391--468},
   MRCLASS = {60D05 (22D15 43A15)},
  MRNUMBER = {2362241},
MRREVIEWER = {Rapha\"{e}l\ Cerf},
       DOI = {10.1215/S0012-7094-07-14031-6},
       URL = {https://doi.org/10.1215/S0012-7094-07-14031-6},
}


@article {BBNV18,
    AUTHOR = {Betea, Dan and Bouttier, J\'{e}r\'{e}mie and Nejjar, Peter and
              Vuleti\'{c}, Mirjana},
     TITLE = {The free boundary {S}chur process and applications {I}},
   JOURNAL = {Ann. Henri Poincar\'{e}},
  FJOURNAL = {Annales Henri Poincar\'{e}. A Journal of Theoretical and
              Mathematical Physics},
    VOLUME = {19},
      YEAR = {2018},
    NUMBER = {12},
     PAGES = {3663--3742},
   MRCLASS = {60G55 (60B20 60C05 60K35)},
  MRNUMBER = {3877514},
       DOI = {10.1007/s00023-018-0723-1}
}

@article {J00,
    AUTHOR = {Johansson, Kurt},
     TITLE = {Shape fluctuations and random matrices},
   JOURNAL = {Comm. Math. Phys.},
  FJOURNAL = {Communications in Mathematical Physics},
    VOLUME = {209},
      YEAR = {2000},
    NUMBER = {2},
     PAGES = {437--476},
   MRCLASS = {60K35 (05A16 60C05 60F10 82B41)},
  MRNUMBER = {1737991},
MRREVIEWER = {Peter\ Eichelsbacher},
       DOI = {10.1007/s002200050027},
       URL = {https://doi.org/10.1007/s002200050027},
}

@article {BR01,
    AUTHOR = {Baik, Jinho and Rains, Eric M.},
     TITLE = {The asymptotics of monotone subsequences of involutions},
   JOURNAL = {Duke Math. J.},
  FJOURNAL = {Duke Mathematical Journal},
    VOLUME = {109},
      YEAR = {2001},
    NUMBER = {2},
     PAGES = {205--281},
   MRCLASS = {60C05 (05E10 45E10)},
  MRNUMBER = {1845180},
MRREVIEWER = {Bernhard\ Gittenberger},
       DOI = {10.1215/S0012-7094-01-10921-6},
       URL = {https://doi.org/10.1215/S0012-7094-01-10921-6},
}

@article {BCY24,
    AUTHOR = {Barraquand, Guillaume and Corwin, Ivan and Yang, Zongrui},
     TITLE = {Stationary measures for integrable polymers on a strip},
   JOURNAL = {Invent. Math.},
  FJOURNAL = {Inventiones Mathematicae},
    VOLUME = {237},
      YEAR = {2024},
    NUMBER = {3},
     PAGES = {1567--1641},
   MRCLASS = {60K35 (82D60)},
  MRNUMBER = {4777093},
MRREVIEWER = {Irene\ Crimaldi},
       DOI = {10.1007/s00222-024-01277-x},
       URL = {https://doi.org/10.1007/s00222-024-01277-x},
}

@article {CdGW15,
    AUTHOR = {Cantini, Luigi and de Gier, Jan and Wheeler, Michael},
     TITLE = {Matrix product formula for {M}acdonald polynomials},
   JOURNAL = {J. Phys. A},
  FJOURNAL = {Journal of Physics. A. Mathematical and Theoretical},
    VOLUME = {48},
      YEAR = {2015},
    NUMBER = {38},
     PAGES = {384001, 25},
   MRCLASS = {33D52 (16T25 20C08)},
  MRNUMBER = {3400909},
MRREVIEWER = {Vivek\ Sahai},
       DOI = {10.1088/1751-8113/48/38/384001},
       URL = {https://doi.org/10.1088/1751-8113/48/38/384001},
}

@article {CMW22,
    AUTHOR = {Corteel, Sylvie and Mandelshtam, Olya and Williams, Lauren},
     TITLE = {From multiline queues to {M}acdonald polynomials via the
              exclusion process},
   JOURNAL = {Amer. J. Math.},
  FJOURNAL = {American Journal of Mathematics},
    VOLUME = {144},
      YEAR = {2022},
    NUMBER = {2},
     PAGES = {395--436},
   MRCLASS = {60K35 (05E05 33C52)},
  MRNUMBER = {4401508},
       DOI = {10.1353/ajm.2022.0007},
       URL = {https://doi.org/10.1353/ajm.2022.0007},
}