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@article{BBCS17,
	Author = {Baik, J. and Barraquand, G. and Corwin, I. and Suidan, T.},
	Fjournal = {The Annals of Probability},
	Journal = {Ann. Probab.},
	Pages = {3015--3089},
	Publisher = {The Institute of Mathematical Statistics},
	Title = {Pfaffian Schur processes and last passage percolation in a half-quadrant},
	Volume = {46},
	Year = {2018}}

@article{TW05,
	Author = {Tracy, C.A. and Widom, H.},
	Date-Modified = {2019-05-12 13:16:19 +0300},
	Doi = {10.5802/aif.2158 },
	Journal = {Ann. Inst. Fourier},
	Number = {6},
	Pages = {2197-2207},
	Title = {{M}atrix kernels for the Gaussian orthogonal and symplectic ensembles},
	Volume = {55},
	Year = {2005}}

@article{br1,
	Author = {Baik, J. and Rains, E. M.},
	Date-Modified = {2019-05-12 13:03:38 +0300},
	Doi = {10.1215/dmj/996987489 },
	Fjournal = {Duke Mathematical Journal},
	Journal = {Duke Math. J.},
	Number = {1},
	Pages = {1--65},
	Title = {{A}lgebraic aspects of increasing subsequences},
	Volume = {109},
	Year = {2001}}

@article{br2,
	Author = {Baik, J. and Rains, E. M.},
	Coden = {DUMJAO},
	Date-Modified = {2019-05-12 13:04:42 +0300},
	Doi = {10.1215/dmj/1000313963 },
	Fjournal = {Duke Mathematical Journal},
	Journal = {Duke Math. J.},
	Number = {2},
	Pages = {205--281},
	Title = {{T}he asymptotics of monotone subsequences of involutions},
	Volume = {109},
	Year = {2001}}

@misc{br99,
	Author = {Baik, J. and Rains, E. M.},
	Eprint = {arXiv:math/9910019 [math.CO]},
	Title = {Symmetrized random permutations},
	Year = {1999}}

@article{B2007cyl,
	Author = {Borodin, A.},
	Date-Modified = {2019-05-12 13:10:04 +0300},
	Doi = {10.1215/s0012-7094-07-14031-6 },
	Journal = {Duke Math. J.},
	Number = {3},
	Pages = {391--468},
	Title = {{P}eriodic {S}chur process and cylindric partitions},
	Volume = {140},
	Year = {2007}}

@article{br,
	Author = {Borodin, A. and Rains, E. M.},
	Date-Modified = {2019-05-12 13:11:42 +0300},
	Doi = {10.1007/s10955-005-7583-z },
	Fjournal = {Journal of Statistical Physics},
	Journal = {J. Stat. Phys.},
	Number = {3-4},
	Pages = {291--317},
	Title = {{E}ynard-{M}ehta theorem, {S}chur process, and their {P}faffian analogs},
	Volume = {121},
	Year = {2005}}

@article{bbccr,
	Author = {Boutillier, C. and Bouttier, J. and Chapuy, G. and Corteel, S. and Ramassamy, S.},
	Eprint = {arXiv:1504.05176 [math-ph]},
	Journal = {Ann. Inst. Henri Poincar\'e D},
	Title = {{D}imers on rail yard graphs},
	Volume = {to appear},
	Year = {2016}}

@article{bcc,
	Author = {Bouttier, J. and Chapuy, G. and Corteel, S.},
	Fjournal = {Transactions of the American Mathematical Society},
	Journal = {Trans. Amer. Math. Soc.},
	Number = {8},
	Pages = {5921--5959},
	Title = {From {A}ztec diamonds to pyramids: steep tilings},
	Volume = {369},
	Year = {2017}}

@article{knu,
	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}}

@article{kra,
	Author = {Krattenthaler, C.},
	Journal = {Adv. in Appl. Math.},
	Keywords = {combinatorics, permutation, tableaux},
	Number = {3},
	Pages = {404--431},
	Title = {{G}rowth diagrams, and increasing and decreasing chains in fillings of {F}errers shapes},
	Volume = {37},
	Year = {2006}}

@book{mac,
	Address = {New York},
	Author = {Macdonald, I. G.},
	Edition = {Second},
	Note = {With contributions by A. Zelevinsky, Oxford Science Publications},
	Pages = {x+475},
	Publisher = {The Clarendon Press Oxford University Press},
	Series = {Oxford Mathematical Monographs},
	Title = {{S}ymmetric functions and {H}all polynomials},
	Year = {1995}}

@article{oko,
	Author = {Okounkov, A.},
	Date-Modified = {2019-05-12 13:15:03 +0300},
	Doi = {10.1007/pl00001398 },
	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{or,
	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}}

@misc{rai,
	Author = {Rains, E. M.},
	Eprint = {arXiv:math/0006097 [math.CO]},
	Title = {{C}orrelation functions for symmetrized increasing subsequences},
	Year = {2000}}

@book{sta,
	Author = {Stanley, R. P.},
	Pages = {xii+581},
	Publisher = {Cambridge University Press},
	Series = {Cambridge Studies in Advanced Mathematics},
	Title = {{E}numerative combinatorics. {V}ol. 2},
	Volume = {62},
	Year = {1999}}

@article{bdj,
	Author = {Baik, J. and Deift, P. and Johansson, K.},
	Date-Modified = {2019-05-12 13:03:01 +0300},
	Doi = {10.1090/s0894-0347-99-00307-0 },
	Fjournal = {Journal of the American Mathematical Society},
	Journal = {J. Amer. Math. Soc.},
	Number = {4},
	Pages = {1119--1178},
	Title = {On the distribution of the length of the longest increasing subsequence of random permutations},
	Volume = {12},
	Year = {1999}}

@article{joh2,
	Author = {Johansson, K.},
	Date-Modified = {2019-05-12 13:13:29 +0300},
	Doi = {10.1007/s002200050027 },
	Fjournal = {Communications in Mathematical Physics},
	Journal = {Comm. Math. Phys.},
	Number = {2},
	Pages = {437--476},
	Title = {Shape fluctuations and random matrices},
	Volume = {209},
	Year = {2000}}

@article{boo,
	Author = {Borodin, A. and Okounkov, A. and Olshanski, G.},
	Date-Modified = {2019-05-12 13:11:02 +0300},
	Doi = {10.1090/s0894-0347-00-00337-4 },
	Fjournal = {Journal of the American Mathematical Society},
	Journal = {J. Amer. Math. Soc.},
	Number = {3},
	Pages = {481--515},
	Title = {Asymptotics of {P}lancherel measures for symmetric groups},
	Volume = {13},
	Year = {2000}}

@article{tw,
	Author = {Tracy, C. A. and Widom, H.},
	Date-Modified = {2019-05-12 13:15:42 +0300},
	Doi = {10.1007/bf02100489 },
	Fjournal = {Communications in Mathematical Physics},
	Journal = {Comm. Math. Phys.},
	Number = {1},
	Pages = {151--174},
	Title = {Level-spacing distributions and the {A}iry kernel},
	Volume = {159},
	Year = {1994}}

@article{DFR12,
	Author = {Di Francesco, P. and Reshetikhin, N.},
	Journal = {Comm. Math. Phys.},
	Number = {1},
	Pages = {87--121},
	Title = {{A}symptotic shapes with free boundaries},
	Volume = {309},
	Year = {2012}}

@article{mci,
	Author = {Mcintosh, R. J.},
	Journal = {The Ramanujan Journal},
	Number = {2},
	Pages = {205--214},
	Title = {Some Asymptotic Formulae for q-Shifted Factorials},
	Volume = {3},
	Year = {1999}}

@article{kat,
	Author = {Katsurada, M.},
	Journal = {Acta Arithmetica},
	Keywords = {Riemann zeta function; Hurwitz zeta function; Lerch zeta function; -series; theta series; Rogers-Ramanujan identities; Mellin transform; asymptotic expansion},
	Number = {3},
	Pages = {269-298},
	Title = {Asymptotic expansions of certain q-series and a formula of Ramanujan for specific values of the Riemann zeta function},
	Volume = {107},
	Year = {2003}}

@article{bbnv_fpsac,
	Author = {Betea, D. and Bouttier, J. and Nejjar, P. and Vuleti\'c, M.},
	Journal = {S\'em. Lothar. Combin.},
	Note = {Proceedings of the 29th Conference on Formal Power Series and Algebraic Combinatorics (London)},
	Pages = {Art. 44, 12},
	Title = {The free boundary {S}chur process and applications (extended abstract)},
	Volume = {78B},
	Year = {2017}}

@article{bbnv_17,
	Author = {Betea, D. and Bouttier, J. and Nejjar, P. and Vuleti\'c},
	Date-Modified = {2019-05-12 13:09:14 +0300},
	Doi = {10.1007/s00023-018-0723-1 },
	Fjournal = {Annales Henri Poincar\'e},
	Journal = {Ann. Henri Poincar\'e},
	Number = {12},
	Pages = {3663--3742},
	Title = {The Free Boundary Schur Process and Applications I},
	Volume = {19},
	Year = {2018}}

@article{joh4,
	Author = {Johansson, K.},
	Date-Modified = {2019-05-12 13:14:24 +0300},
	Doi = {10.2307/2661375 },
	Journal = {Ann. Math. (2)},
	Number = {1},
	Pages = {259-296},
	Publisher = {Princeton University and Mathematical Sciences Publishers},
	Title = {Discrete orthogonal polynomial ensembles and the {P}lancherel measure.},
	Volume = {153},
	Year = {2001}}

@article{bb_18,
	Author = {Betea, D. and Bouttier, J.},
	Date-Modified = {2019-05-12 13:08:44 +0300},
	Doi = {10.1007/s11040-018-9299-8},
	Journal = {Mathematical Physics, Analysis and Geometry},
	Number = {1},
	Title = {The Periodic Schur Process and Free Fermions at Finite Temperature},
	Volume = {22},
	Year = {2019}}

@article{joh3,
	Author = {Johansson, K.},
	Journal = {Probability Theory and Related Fields},
	Number = {1},
	Pages = {75--112},
	Title = {From {G}umbel to {T}racy--{W}idom},
	Volume = {138},
	Year = {2007}}

@article{gre,
	Author = {Greene, C.},
	Date-Modified = {2019-05-12 13:12:42 +0300},
	Doi = {10.1016/0001-8708(74)90031-0 },
	Fjournal = {Advances in Mathematics},
	Journal = {Adv. in Math.},
	Number = {2},
	Pages = {254--265},
	Title = {An extension of {S}chensted's theorem},
	Volume = {14},
	Year = {1974}}

@article{bbbccv,
	Author = {Betea, D. and Boutillier, C. and Bouttier, J. and Chapuy, G. and Corteel, S. and Vuleti\'c, M.},
	Date-Modified = {2019-05-12 13:07:49 +0300},
	Fjournal = {Markov Processes and Related Fields},
	Journal = {Markov Proc. and Rel. Fields},
	Number = {3},
	Pages = {381--418},
	Title = {{P}erfect sampling algorithm for {S}chur processes},
	Volume = {24},
	Year = {2018}}

@unpublished{BBNV2,
	Author = {D. Betea and J. Bouttier and P. Nejjar and M. Vuleti{\'c}},
	Note = {In preparation},
	Title = {The Free Boundary Schur Process and Applications {II}}}