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@article{Bor07,
	Author = {Borodin, A.},
	Fjournal = {Duke Mathematical Journal},
	Journal = {Duke Math. J.},
	Number = {3},
	Pages = {391--468},
	Title = {{P}eriodic {S}chur process and cylindric partitions},
	Volume = {140},
	Year = {2007},
	Bdsk-Url-1 = {http://dx.doi.org/10.1215/S0012-7094-07-14031-6}
  }
  
  
  @article{BC14,
	Author = {Borodin, A. and Corwin, I.},
	Fjournal = {Probability Theory and Related Fields},
	Journal = {Probab. Theory Related Fields},
	Number = {1-2},
	Pages = {225--400},
	Title = {{M}acdonald processes},
	Volume = {158},
	Year = {2014},
  }

  @article{Knu70,
	Author = {Knuth, D. E.},
	Fjournal = {Pacific Journal of Mathematics},
	Journal = {Pacific J. Math.},
	Pages = {709--727},
	Title = {{P}ermutations, matrices, and generalized {Y}oung tableaux},
	Volume = {34},
	Year = {1970}
  }

  @book{Mac95,
	Author = {Macdonald, I. G.},
	Publisher = {Oxford University Press},
	Title = {{S}ymmetric Functions and {H}all Polynomials},
	Year = {1995}
  }

  @Article{Joh07,
  author   = {Johansson, K.},
  title    = {From {G}umbel to {T}racy--{W}idom},
  journal  = {Probability Theory and Related Fields},
  year     = {2007},
  volume   = {138},
  number   = {1},
  pages    = {75--112},
}

@Book{Rom15,
  title      = {The Surprising Mathematics of Longest Increasing Subsequences},
  publisher  = {Cambridge University Press},
  year       = {2015},
  author     = {Romik, D.},
}

@Article{ACQ11,
  author    = {Amir, G. and Corwin, I. and Quastel, J.},
  title     = {Probability distribution of the free energy of the continuum directed random polymer in 1 + 1 dimensions},
  fjournal   = {Communications on Pure and Applied Mathematics},
  journal = {Comm. Pure Applied Math.},
  year      = {2011},
  volume    = {64},
  number    = {4},
}

@Article{GK97,
  author     = {Gessel, Ira M. and Krattenthaler, C.},
  title      = {Cylindric partitions},
  journal    = {Trans. Amer. Math. Soc.},
  year       = {1997},
  volume     = {349},
  number     = {2},
  pages      = {429--479},
}

@incollection{Joh08,
    AUTHOR = {Johansson, K.},
     TITLE = {On some special directed last-passage percolation models},
 BOOKTITLE = {Integrable Systems and Random Matrices},
    SERIES = {Contemp. Math.},
    VOLUME = {458},
     PAGES = {333--346},
 PUBLISHER = {Amer. Math. Soc., Providence, RI},
      YEAR = {2008},
}

@Article{BB19,
  author   = {Betea, D. and Bouttier, J.},
  title    = {The periodic {S}chur process and free fermions at finite temperature},
  journal  = {Math. Phys. Anal. Geom.},
  year     = {2019},
  volume   = {22},
  number   = {1},
  pages    = {22:3},
  fjournal = {Mathematical Physics, Analysis and Geometry. An International Journal Devoted to the Theory and Applications of Analysis and Geometry to Physics},
}

@article{BBNV_FPSAC_19,
  author = {Betea, D. and Bouttier, J. and Nejjar, P. and Vuleti\'c, M.},
  title  = {New edge asymptotics of skew {Y}oung diagrams via free boundaries},
  journal  = {S\'em. Lothar. Combin.},
  year     = {2019},
  volume   = {82B},
  pages    = {Art. 34, 11},
  fjournal = {S\'eminaire Lotharingien de Combinatoire},
}


@article {Gre74,
    AUTHOR = {Greene, C.},
     TITLE = {An extension of {S}chensted's theorem},
   JOURNAL = {Adv. Math.},
  FJOURNAL = {Advances in Mathematics},
    VOLUME = {14},
      YEAR = {1974},
     PAGES = {254--265},
}

@Article{BO21,
  author   = {Betea, D. and Occelli, A.},
  title    = {Muttalib--Borodin plane partitions and the hard edge of random matrix ensembles},
  journal  = {S\'em. Lothar. Combin.},
  year     = {2021},
  volume   = {85B},
  pages    = {Art. 8, 12},
  fjournal = {S\'eminaire Lotharingien de Combinatoire},
}

@misc{IMS21,
  author   = {Imamura, T. and Mucciconi, M. and Sasamoto, T.},
  title    = {Identity between restricted Cauchy sums for the {$q$}-Whittaker and skew Schur polynomials},
  eprint   = {2106.11913},
  eprinttype = {arXiv},
  year     = {2021},
}

@article{BF03,
	year = 2003,
	publisher = {{IOP} Publishing},
	volume = {36},
	number = {12},
	pages = {2963--2981},
	author = {Borodin, A. and Forrester, P. J.},
	title = {Increasing subsequences and the hard-to-soft edge transition in matrix ensembles},
	journal = {J. Phys. A: Math. Gen.},
}

@article{LDMS18,
	year = 2018,
	volume = {2018},
	number = {12},
	author = {Lacroix-A-Chez-Toine, B. and Le Doussal, P. and Majumdar, S. N. and Schehr, G.},
	title = {Non-interacting fermions in hard-edge potentials},
	journal = {J. Stat. Mech.: Th. and Exp.},
}


@misc{DLMF,
         key = "{\relax DLMF}",
       title = "{\it NIST Digital Library of Mathematical Functions}",
howpublished = "http://dlmf.nist.gov/, Release 1.1.3 of 2021-09-15",
         url = "http://dlmf.nist.gov/",
        note = "F.~W.~J. Olver, A.~B. {Olde Daalhuis}, D.~W. Lozier, B.~I. Schneider,
                R.~F. Boisvert, C.~W. Clark, B.~R. Miller, B.~V. Saunders,
                H.~S. Cohl, and M.~A. McClain, eds."}

@article{TW94_bessel,
    AUTHOR = {Tracy, C. A. and Widom, H.},
     TITLE = {Level spacing distributions and the {B}essel kernel},
   JOURNAL = {Comm. Math. Phys.},
  FJOURNAL = {Communications in Mathematical Physics},
    VOLUME = {161},
      YEAR = {1994},
    NUMBER = {2},
     PAGES = {289--309},
}

@article{TW94_airy,
    AUTHOR = {Tracy, C. A. and Widom, H.},
     TITLE = {Level-spacing distributions and the {A}iry kernel},
   JOURNAL = {Comm. Math. Phys.},
  FJOURNAL = {Communications in Mathematical Physics},
    VOLUME = {159},
      YEAR = {1994},
    NUMBER = {1},
     PAGES = {151--174},
}

@Article{DMS17,
  author   = {Le Doussal, P. and Majumdar, S. N. and Schehr, G.},
  title    = {Periodic {A}iry process and equilibrium dynamics of edge fermions in a trap},
  journal  = {Ann. Phys.},
  year     = {2017},
  volume   = {383},
  pages    = {312-345},
}

@article{OR03,
	Author = {Okounkov, A. and Reshetikhin, N.},
	Fjournal = {Journal of the American Mathematical Society},
	Journal = {J. Amer. Math. Soc.},
	Number = {3},
	Pages = {581--603 (electronic)},
	Title = {{C}orrelation function of {S}chur process with application to local geometry of a random 3-dimensional {Y}oung diagram},
	Volume = {16},
	Year = {2003},
  }

@article{Oko01,
	Author = {Okounkov, A.},
	Fjournal = {Selecta Mathematica. New Series},
	Journal = {Selecta Math. (N.S.)},
	Number = {1},
	Pages = {57--81},
	Title = {{I}nfinite wedge and random partitions},
	Volume = {7},
	Year = {2001},
}

@misc{ARP21,
  author   = {Ahn, A. and Russkikh, M. and Van Peski, R.},
  title    = {Lozenge tilings and the {G}aussian free field on a cylinder},
  eprint   = {2105.00551},
  eprinttype = {arXiv},
  year     = {2021},
}

@book{Sta99,
	Author = {Stanley, R. P.},
	Publisher = {Cambridge University Press},
	Title = {{E}numerative Combinatorics},
    volume = {2},
	Year = {1999},
  }

@Article{Joh00,
    AUTHOR = {Johansson, K.},
     TITLE = {Shape fluctuations and random matrices},
   JOURNAL = {Comm. Math. Phys.},
  FJOURNAL = {Communications in Mathematical Physics},
    VOLUME = {209},
      YEAR = {2000},
    NUMBER = {2},
     PAGES = {437--476},
}