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@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{joh98,
    AUTHOR = {Johansson, K.},
     TITLE = {The longest increasing subsequence in a random permutation and
              a unitary random matrix model},
   JOURNAL = {Math. Res. Lett.},
  FJOURNAL = {Mathematical Research Letters},
    VOLUME = {5},
      YEAR = {1998},
    NUMBER = {1-2},
     PAGES = {63--82},
}


@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{for93,
    AUTHOR = {Forrester, P. J.},
     TITLE = {The spectrum edge of random matrix ensembles},
   JOURNAL = {Nuclear Phys. B},
  FJOURNAL = {Nuclear Physics. B. Theoretical, Phenomenological, and
              Experimental High Energy Physics. Quantum Field Theory and
              Statistical Systems},
    VOLUME = {402},
      YEAR = {1993},
    NUMBER = {3},
     PAGES = {709--728},
}



@article{ver97,
    AUTHOR = {Vershik, A. M.},
     TITLE = {Limit distribution of the energy of a quantum ideal gas from
              the point of view of the theory of partitions of natural
              numbers},
   JOURNAL = {Uspekhi Mat. Nauk},
  FJOURNAL = {Uspekhi Matematicheskikh Nauk},
    VOLUME = {52},
      YEAR = {1997},
    NUMBER = {2(314)},
     PAGES = {139--146},
    EPRINT = {http://www.mathnet.ru/links/65773fba011d9338ef739b43fded1dd2/rm823.pdf},
}



@misc{nist,
         key = "{\relax DLMF}",
       title = "{\it NIST Digital Library of Mathematical Functions}",
howpublished = "http://dlmf.nist.gov/, Release 1.0.28 of 2020-09-15",
         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{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},
}

@Article{or03,
  Title                    = {{C}orrelation function of {S}chur process with application to local geometry of a random 3--dimensional {Y}oung diagram},
  Author                   = {Okounkov, A. and Reshetikhin, N.},
  Journal                  = {J. Amer. Math. Soc.},
  Year                     = {2003},
  Number                   = {3},
  Pages                    = {581--603 (electronic)},
  Volume                   = {16},
  Fjournal                 = {Journal of the American Mathematical Society},
}


@Book{rom15,
  title      = {The surprising mathematics of longest increasing subsequences},
  publisher  = {Cambridge University Press},
  year       = {2015},
  author     = {Romik, D.},
}

@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 {bor10,
    AUTHOR = {Bornemann, F.},
     TITLE = {On the numerical evaluation of {F}redholm determinants},
   JOURNAL = {Math. Comp.},
  FJOURNAL = {Mathematics of Computation},
    VOLUME = {79},
      YEAR = {2010},
    NUMBER = {270},
     PAGES = {871--915},
}


@book{bat,
      author        = "Bateman, H. and Erd{\'e}lyi, A. and Magnus, W. and Oberhettinger, F. and Tricomi, F. G.",
      title         = {Higher transcendental functions},
      publisher     = "McGraw-Hill",
      address       = "New York, NY",
      series        = "California Institute of Technology Bateman Manuscript Project",
      year          = "1955",
      url           = "https://authors.library.caltech.edu/43491/",
}

@book{mac,
	Author = {Macdonald, I. G.},
	Publisher = {Oxford University Press},
	Title = {{S}ymmetric functions and {H}all polynomials},
	Year = {1995}
}

@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},
}

@article{bbbccv18,
  author   = {Betea, D. and Boutillier, C. and Bouttier, J. and Chapuy, G. and Corteel, S. and Vuleti\'{c}, M.},
  title    = {Perfect sampling algorithms for {S}chur processes},
  journal  = {Markov Process. Related Fields},
  year     = {2018},
  volume   = {24},
  number   = {3},
  pages    = {381--418},
  fjournal = {Markov Processes and Related Fields},
}


@book{ful97,
    AUTHOR = {Fulton, W.},
     TITLE = {Young tableaux},
    SERIES = {London Mathematical Society Student Texts},
    VOLUME = {35},
      NOTE = {With applications to representation theory and geometry},
 PUBLISHER = {Cambridge University Press, Cambridge},
      YEAR = {1997},
}

@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{knu70,
author = "Knuth, D. E.",
fjournal = "Pacific Journal of Mathematics",
journal = "Pacific J. Math.",
number = "3",
pages = "709--727",
title = {Permutations, matrices, and generalized {Y}oung tableaux},
volume = "34",
year = "1970"
}



@article{bbnv18,
  author       = {Betea, D. and Bouttier, J. and Nejjar, P. and Vuleti\'c, M.},
  title        = {The free boundary {S}chur process and applications {I}},
  journal = {Ann. Henri Poincar\'e},
  year    = {2018},
  volume  = {19},
  number  = {12},
  pages   = {3663--3742},
}


@article{ldms18,
   title={Multicritical edge statistics for the momenta of fermions in nonharmonic traps},
   volume={121},
   number={3},
   journal={Phys. Rev. Lett.},
   author={Le Doussal, P. and Majumdar, S. N. and Schehr, G.},
   year={2018},
}



@article{boo00,
author="Borodin, A. and Okounkov, A. and Olshanski, G.",
title={Asymptotics of Plancherel measures for symmetric groups},
journal="J. Amer. Math. Soc.",
volume="13",
number="3", 
date="2000-07", 
pages="481-515",
}



@article{ps90,
title = "Exactly solvable unitary matrix models: Multicritical potentials and correlations",
journal = "Nuclear Physics B",
volume = "344",
number = "3",
pages = "731 - 746",
year = "1990",
author = "Periwal, V. and Shevitz, D.",
}

@article{ccg19,
    author = {Cafasso, M. and Claeys, T. and Girotti, M.},
    title = {Fredholm determinant solutions of the {P}ainlev{\'e} II hierarchy and gap probabilities of determinantal point processes},
    journal = {International Mathematics Research Notices},
    year = {2019},
    month = {09},
}

@article{cik10,
author = {Claeys, T. and Krasovsky, I. and Its, A.},
title = {Higher-order analogues of the {T}racy--{W}idom distribution and the {P}ainlev{\'e} {II} hierarchy},
journal = {Communications on Pure and Applied Mathematics},
volume = {63},
number = {3},
pages = {362-412},
year = {2010}
}



@article{ges90,
title = {Symmetric functions and {P}-recursiveness},
journal = "Journal of Combinatorial Theory, Series A",
volume = "53",
number = "2",
pages = "257 - 285",
year = "1990",
author = "Gessel, I. M."
}


@article{bdj99,
title = {On the distribution of the length of the longest increasing subsequence of random permutations},
author = "Baik, J. and Deift, P. and Johansson, K.",
year = "1999",
volume = "12",
pages = "1119--1178",
journal = "Journal of the American Mathematical Society",
number = "4",
}

@incollection {bg16,
    AUTHOR = {Borodin, A. and Gorin, V.},
     TITLE = {Lectures on integrable probability},
 BOOKTITLE = {Probability and statistical physics in {S}t. {P}etersburg},
    SERIES = {Proc. Sympos. Pure Math.},
    VOLUME = {91},
     PAGES = {155--214},
 PUBLISHER = {Amer. Math. Soc., Providence, RI},
      YEAR = {2016},
}

@Article{joh01,
  author    = {Johansson, K.},
  title     = {Discrete orthogonal polynomial ensembles and the {P}lancherel measure.},
  journal   = {Annals of Mathematics. Second Series},
  year      = {2001},
  volume    = {153},
  number    = {1},
  pages     = {259-296},
}


@article{sch61, 
title={Longest increasing and decreasing subsequences}, 
volume={13}, 
journal={Canadian Journal of Mathematics}, 
author={Schensted, C.}, 
year={1961}, 
pages={179–191}
}

@book{sta99,
	Author = {Stanley, R. P.},
	Publisher = {Cambridge University Press},
	Title = {{E}numerative combinatorics. {V}ol. 2},
	Year = {1999},
}


@article{dia03,
    AUTHOR = {Diaconis, P.},
     TITLE = {Patterns in eigenvalues: the 70th {J}osiah {W}illard {G}ibbs
              lecture},
   JOURNAL = {Bull. Amer. Math. Soc. (N.S.)},
  FJOURNAL = {American Mathematical Society. Bulletin. New Series},
    VOLUME = {40},
      YEAR = {2003},
    NUMBER = {2},
     PAGES = {155--178},
}

@article{Bocini_Stephan_2020,
  year = {2021},
  publisher = {{IOP} Publishing},
  volume = {2021},
  number = {1},
  pages = {013204},
  author = {Bocini, S. and St{\'{e}}phan, J.-M.},
  title = {Non-probabilistic fermionic limit shapes},
  journal = {Journal of Statistical Mechanics: Theory and Experiment},
}

@Misc{BBWlong,
  author       = {Betea, D. and Bouttier, J. and Walsh, H.},
  title        = {Multicritical {S}chur measures with higher-order {T}racy--{W}idom edge fluctuations},
  howpublished = {In preparation},
  year={2021}
  }
@InCollection{oko03,
  author     = {Okounkov, A.},
  booktitle  = {Symmetric functions 2001: surveys of developments and perspectives},
  publisher  = {Kluwer Acad. Publ., Dordrecht},
  title      = {Symmetric functions and random partitions},
  year       = {2002},
  pages      = {223--252},
  series     = {NATO Sci. Ser. II Math. Phys. Chem.},
  volume     = {74},
  mrclass    = {05E10 (34L20 60C05 60D05)},
  mrnumber   = {2059364},
  mrreviewer = {Grant Walker},
}

@Comment{jabref-meta: databaseType:bibtex;}