%% This BibTeX bibliography file was created using BibDesk.
%% http://bibdesk.sourceforge.net/

%% Created for Nicholas Beaton at 2019-05-27 11:59:25 +1000 


%% Saved with string encoding Unicode (UTF-8) 



@article{AHRV07,
	Author = {Angel, O. and Holroyd, A.~E. and Romik, D. and Vir\'ag, B.},
	Date-Modified = {2019-05-27 11:49:29 +1000},
	Doi = {10.1016/j.aim.2007.05.019},
	Fjournal = {Advances in Mathematics},
	Journal = {{\adv}},
	Number = {2},
	Pages = {839--868},
	Title = {Random sorting networks},
	Volume = {215},
	Year = {2007}}

@article{BW97,
	Author = {Bj\"orner, A. and Wachs, M.~L.},
	Date-Modified = {2019-05-27 11:49:53 +1000},
	Doi = {10.1090/s0002-9947-97-01838-2},
	Fjournal = {Transactions of the American Mathematical Society},
	Journal = {Trans. Amer. Math. Soc.},
	Number = {10},
	Pages = {3945--3975},
	Title = {Shellable nonpure complexes and posets. {II}},
	Volume = {349},
	Year = {1997}}

@article{DavisSagan,
	Author = {{Davis}, R. and {Sagan}, B.},
	Date-Modified = {2019-05-27 11:50:22 +1000},
	Doi = {10.1016/j.ejc.2018.07.006},
	Journal = {{\eujc}},
	Pages = {48--84},
	Title = {Pattern-avoiding polytopes},
	Volume = {74},
	Year = {2018}}

@article{EG87,
	Author = {Edelman, P. and Greene, C.},
	Fjournal = {Advances in Mathematics},
	Journal = {{\adv}},
	Number = {1},
	Pages = {42--99},
	Title = {Balanced tableaux},
	Volume = {63},
	Year = {1987}}

@article{ER14,
	Author = {Elizalde, S. and Roichman, Y.},
	Journal = {{\jac}},
	Number = {2},
	Pages = {301--334},
	Title = {Arc permutations},
	Volume = {39},
	Year = {2014}}

@misc{D18,
	Author = {Dauvergne, D.},
	Eprint = {1802.08934},
	Eprinttype = {arxiv},
	Title = {The {Archimedean} limit of random sorting networks},
	Year = {2018}}

@misc{Fischer2002,
	Author = {{Fischer}, I.},
	Eprint = {math/0112261},
	Eprinttype = {arxiv},
	Title = {A bijective proof of the hook-length formula for shifted standard tableaux},
	Year = {2001}}

@article{FN14,
	Author = {Fishel, S. and Nelson, L.},
	Date-Modified = {2019-05-27 11:51:19 +1000},
	Doi = {10.1090/s0002-9939-2014-12069-7},
	Fjournal = {Proceedings of the American Mathematical Society},
	Journal = {{\pams}},
	Number = {10},
	Pages = {3343--3353},
	Title = {Chains of maximum length in the {Tamari} lattice},
	Volume = {142},
	Year = {2014}}

@article{FRT1954,
	Author = {{Frame}, J.~S. and {Robinson}, G.~de~B. and {Thrall}, R.~M.},
	Date-Modified = {2019-05-27 11:51:46 +1000},
	Doi = {10.4153/cjm-1954-030-1},
	Journal = {Canad. J. Math.},
	Pages = {316--325},
	Title = {The hook graphs of the symmetric group},
	Volume = {6},
	Year = {1954}}

@book{FlaSed,
	Address = {Cambridge},
	Author = {{Flajolet}, P. and {Sedgewick}, R.},
	Pages = {826},
	Publisher = {Cambridge Univ. Press},
	Title = {Analytic Combinatorics},
	Year = {2009}}

@article{GNW,
	Author = {{Greene}, C. and {Nijenhuis}, A. and {Wilf}, H.~S.},
	Journal = {{\adv}},
	Number = {1},
	Pages = {104--109},
	Title = {A probabilistic proof of a formula for the number of {Young} tableaux of a given shape},
	Volume = {31},
	Year = {1979}}

@article{Haiman:mixed_insertion,
	Author = {{Haiman}, M.~D.},
	Journal = {{\jcta}},
	Number = {2},
	Pages = {196--225},
	Title = {On mixed insertion, symmetry, and shifted {Young} tableaux},
	Volume = {50},
	Year = {1989}}

@article{Haiman:dual_equivalence,
	Author = {{Haiman}, M.~D.},
	Journal = {Discrete Math.},
	Number = {1--3},
	Pages = {79--113},
	Title = {Dual equivalence with applications, including a conjecture of {Proctor}},
	Volume = {99},
	Year = {1992}}

@incollection{Ivanov,
	Author = {{Ivanov}, V.},
	Booktitle = {Representation Theory, Dynamical Systems, and Asymptotic Combinatorics},
	Date-Modified = {2019-05-27 11:52:14 +1000},
	Number = {217},
	Pages = {73--86},
	Publisher = {Amer.\ Math.\ Soc., Providence, RI},
	Series = {Amer.\ Math.\ Soc.\ Transl.\ Ser.~2},
	Title = {Plancherel measure on shifted {Young} diagrams},
	Year = {2006}}

@book{K11,
	Author = {Kitaev, S.},
	Date-Modified = {2019-05-27 11:52:42 +1000},
	Publisher = {Springer, Heidelberg},
	Series = {Monographs in Theoretical Computer Science. An EATCS Series},
	Title = {Patterns in Permutations and Words},
	Year = {2011}}

@article{Kraskiewicz:reduced_decompositions_hyperoctahedral,
	Author = {{Kra\'skiewicz}, W.},
	Journal = {C.~R.~Acad.\ Sci.\ Paris {S\'e}r.~I Math.},
	Number = {16},
	Pages = {903--907},
	Title = {Reduced decompositions in hyperoctahedral groups},
	Volume = {309},
	Year = {1989}}

@article{Kraskiewicz:reduced_decompositions_weyl,
	Author = {{Kra\'skiewicz}, W.},
	Journal = {{\eujc}},
	Number = {3},
	Pages = {293--313},
	Title = {Reduced decompositions in {Weyl} groups},
	Volume = {16},
	Year = {1995}}

@article{LP18,
	Author = {Linusson, S. and Potka, S.},
	Date-Modified = {2019-05-27 11:55:16 +1000},
	Journal = {S\'em. Lothar. Combin.},
	Note = {To appear in \emph{J. Comb.}},
	Pages = {80B.79, 12 pp},
	Title = {Properties of the {E}delman--{G}reene bijection},
	Url = {https://www.mat.univie.ac.at/~slc/wpapers/FPSAC2018/79-Linusson-Potka.html},
	Volume = {80B \textnormal{(Proceedings of FPSAC'18)}},
	Year = {2018}}

@misc{LPS18,
	Author = {{Linusson}, S. and {Potka}, S. and {Sulzgruber}, R.},
	Eprint = {1804.01795},
	Eprinttype = {arxiv},
	Title = {On random shifted standard {Young} tableaux and 132-avoiding sorting networks},
	Year = {2018}}

@book{Macdonald,
	Author = {{Macdonald}, I.~G.},
	Date-Modified = {2019-05-27 11:56:08 +1000},
	Edition = {2},
	Publisher = {Oxford Univ.~Press},
	Series = {Oxford Mathematical Monographs},
	Title = {Symmetric Functions and {Hall} Polynomials},
	Year = {1995}}

@article{NaruseOkada,
	Author = {{Naruse}, H. and {Okada}, S.},
	Note = {\arxiv{1802.09748}},
	Title = {Skew hook formula for $d$-complete posets},
	Year = {2018}}

@article{NPS,
	Author = {{Novelli}, J.-C. and {Pak}, I. and {Stoyanovskii}, A.~V.},
	Journal = {Discrete Math. Theoret. Comput. Sci.},
	Pages = {53--67},
	Title = {{A direct bijective proof of the hook-length formula}},
	Volume = {1},
	Year = {1997}}

@misc{OEIS,
	Author = {OEIS Foundation Inc.},
	Howpublished = {\url{http://oeis.org}},
	Title = {The On-Line Encyclopedia of Integer Sequences},
	Year = {2018}}

@article{PS:skew_howe_duality,
	Author = {{Panova}, G. and {\'S}niady, P.},
	Date-Modified = {2019-05-27 11:56:36 +1000},
	Doi = {10.5802/alco.8},
	Journal = {Algebraic Combin.},
	Number = {1},
	Pages = {81--94},
	Title = {Skew {Howe} duality and random rectangular {Young} tableaux},
	Volume = {1},
	Year = {2018}}

@article{PR07,
	Author = {Pittel, B. and Romik, D.},
	Date-Modified = {2019-05-27 11:56:59 +1000},
	Doi = {10.1016/j.aam.2005.12.005},
	Fjournal = {Advances in Applied Mathematics},
	Journal = {Adv.\ in Appl.\ Math.},
	Number = {2},
	Pages = {164--209},
	Title = {Limit shapes for random square {Young} tableaux},
	Volume = {38},
	Year = {2007}}

@book{Romik,
	Author = {{Romik}, D.},
	Date-Modified = {2019-05-27 11:57:52 +1000},
	Publisher = {{\cupr}, New York},
	Series = {IMS Textbooks},
	Title = {The Surprising Mathematics of Longest Increasing Subsequences},
	Year = {2015}}

@article{Proc:d_complete_poset,
	Author = {{Proctor}, R.~A.},
	Journal = {{\jac}},
	Number = {1},
	Pages = {61--94},
	Title = {{Dynkin} diagram classification of {$\lambda$}-minuscule {Bruhat} lattices and of {$d$}-complete posets},
	Volume = {9},
	Year = {1999}}

@article{Reiner,
	Author = {{Reiner}, V.},
	Date-Modified = {2019-05-27 11:57:23 +1000},
	Doi = {10.1016/j.ejc.2004.06.010},
	Journal = {{\eujc}},
	Number = {6},
	Pages = {1019--1021},
	Title = {Note on the expected number of {Yang--Baxter} moves applicable to reduced decompositions},
	Volume = {26},
	Year = {2005}}

@book{Sa01,
	Address = {New York},
	Author = {Sagan, B.~E.},
	Pages = {xvi+240},
	Publisher = {Springer-Verlag},
	Series = {Graduate Texts in Mathematics},
	Title = {The Symmetric Group: Representations, Combinatorial Algorithms, and Symmetric Functions},
	Volume = {203},
	Year = {2001}}

@article{Sagan:selecting_random_shifted,
	Author = {{Sagan}, B.~E.},
	Journal = {J.~Algorithms},
	Number = {3},
	Pages = {213-234},
	Title = {On selecting a random shifted {Young} tableau},
	Volume = {1},
	Year = {1980}}

@article{Sagan:shifted_tableaux,
	Author = {{Sagan}, B.~E.},
	Journal = {{\jcta}},
	Number = {1},
	Pages = {62--103},
	Title = {Shifted tableaux, {Schur} {$Q$}-functions, and a conjecture of {R.~Stanley}},
	Volume = {45},
	Year = {1987}}

@misc{sage,
	Author = {The Sage Developers},
	Howpublished = {\url{http://www.sagemath.org}},
	Title = {SageMath, the {S}age {M}athematics {S}oftware {S}ystem {V}ersion 8.1},
	Year = {2017}}

@misc{Sage-Combinat,
	Author = {The Sage--Combinat community},
	Howpublished = {\url{http://combinat.sagemath.org}},
	Title = {Sage--Combinat: enhancing {S}age as a toolbox for computer exploration in algebraic combinatorics},
	Year = {2008}}

@article{STWW,
	Author = {{Schilling}, A. and {Thi\'ery}, N.~M. and {White}, G. and {Williams}, N.},
	Date-Modified = {2019-05-27 11:58:27 +1000},
	Doi = {10.1016/j.ejc.2016.10.008},
	Journal = {{\eujc}},
	Pages = {15--34},
	Title = {Braid moves in commutation classes of the symmetric group},
	Volume = {62},
	Year = {2017}}

@article{Schu63,
	Author = {Sch\"utzenberger, M.-P.},
	Fjournal = {Mathematica Scandinavica},
	Journal = {Scand. Math.},
	Number = {1},
	Pages = {117--128},
	Title = {Quelques remarques sur une construction de {Schensted}},
	Volume = {12},
	Year = {1963}}

@book{St99,
	Address = {Cambridge},
	Author = {Stanley, R.~P.},
	Pages = {xii+585},
	Publisher = {Cambridge University Press},
	Series = {Cambridge Studies in Advanced Mathematics},
	Title = {Enumerative Combinatorics. Vol. 2},
	Volume = {62},
	Year = {1999}}

@article{St09,
	Author = {Stanley, R.~P.},
	Fjournal = {The Electronical Journal of Combinatorics},
	Journal = {{\eljc}},
	Note = {\arxiv{0806.4717}},
	Number = {2, The Bj\"orner Festschrift volume},
	Title = {Promotion and evacuation},
	Volume = {16},
	Year = {2009}}

@article{Stembridge:shifted_tableaux,
	Author = {{Stembridge}, J.~R.},
	Journal = {{\adv}},
	Number = {1},
	Pages = {87--134},
	Title = {Shifted tableaux and the projective representations of symmetric groups},
	Volume = {74},
	Year = {1989}}

@article{Stembridge:fully_commutative,
	Author = {{Stembridge}, J.~R.},
	Journal = {{\jac}},
	Number = {4},
	Pages = {353--385},
	Title = {On the of fully commutative elements of {Coxeter} groups},
	Volume = {5},
	Year = {1996}}

@article{Stembridge:enumeration_fully_commutative,
	Author = {{Stembridge}, J.~R.},
	Journal = {{\jac}},
	Number = {3},
	Pages = {291--320},
	Title = {The enumeration of fully commutative elements of {Coxeter} groups},
	Volume = {7},
	Year = {1998}}

@article{Tenner,
	Author = {{Tenner}, B.~E.},
	Date-Modified = {2019-05-27 11:59:02 +1000},
	Journal = {{\aujc}},
	Number = {1},
	Pages = {147--154},
	Title = {On the expected number of commutations in reduced words},
	Url = {http://ajc.maths.uq.edu.au//pdf/62/ajc_v62_p147.pdf},
	Volume = {62},
	Year = {2015}}

@article{T52,
	Author = {Thrall, R.~M.},
	Date-Modified = {2019-05-27 11:59:24 +1000},
	Doi = {10.1307/mmj/1028989731},
	Fjournal = {Michigan Mathematical Journal},
	Journal = {Michigan Math. J.},
	Number = {1},
	Pages = {81--88},
	Title = {A combinatorial problem},
	Volume = {1},
	Year = {1952}}