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year="1911",
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@book {derksen_weyman17,
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@article {eguchi_hori_xiong97,
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@incollection {einstein_propp14,
    AUTHOR = {Einstein, David and Propp, James},
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 BOOKTITLE = {26th {I}nternational {C}onference on {F}ormal {P}ower {S}eries
              and {A}lgebraic {C}ombinatorics ({FPSAC} 2014)},
    SERIES = {Discrete Math. Theor. Comput. Sci. Proc., AT},
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}

@article {engstrom_hersh_sturmfels13,
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@book {fallat_johnson11,
    AUTHOR = {Fallat, Shaun M. and Johnson, Charles R.},
     TITLE = {Totally nonnegative matrices},
    SERIES = {Princeton Series in Applied Mathematics},
 PUBLISHER = {Princeton University Press, Princeton, NJ},
      YEAR = {2011},
     PAGES = {xvi+248},
      ISBN = {978-0-691-12157-4},
   MRCLASS = {15-02 (15B48)},
  MRNUMBER = {2791531},
MRREVIEWER = {Juan Manuel Pe{\~n}a},
       DOI = {10.1515/9781400839018},
       URL = {https://dx.doi.org/10.1515/9781400839018},
}

@article {farber_postnikov16,
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@article {fenchel29,
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@article {ferro_lukowski_parisi19,
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@article {fomin_shapiro00,
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       DOI = {10.1307/mmj/1030132717},
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      NOTE = {Dedicated to William Fulton on the occasion of his 60th
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@article {fomin_zelevinsky99,
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@article {frieden,
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@article {fulman00,
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@book {fulton93,
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@book {fulton97,
    AUTHOR = {Fulton, William},
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 PUBLISHER = {Cambridge University Press, Cambridge},
      YEAR = {1997},
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      NOTE = {With applications to representation theory and geometry},

@article {galashin_karp_lam,
    AUTHOR = {Galashin, Pavel and Karp, Steven N. and Lam, Thomas},
     TITLE = {The totally nonnegative {G}rassmannian is a ball},
   JOURNAL = {\textup{\href{https://arxiv.org/abs/1707.02010}{\texttt{arXiv:1707.02010}}}},
}

@article {galashin_karp_lam19,
    AUTHOR = {Galashin, Pavel and Karp, Steven N. and Lam, Thomas},
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@incollection {kirillov98,
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@book {kirillov16,
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@book {knapp02,
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@article {knutson_lam_speyer13,
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@article {kodama_williams14,
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@preamble{
   "\def\cprime{$'$} "
}
@book {krein_nudel'man73,
    AUTHOR = {Kre{\u\i}n, M. G. and Nudel{\cprime}man, A.
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      NOTE = {Translated into English by D. Louvish \cite{krein_nudel'man77}},
 PUBLISHER = {Izdat. ``Nauka'', Moscow},
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     PAGES = {551},
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}
      NOTE = {{\cyr Idei i problemy P. L. Chebysheva i A. A. Markova i ikh dal\cprime ne\u{i}}
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@preamble{
   "\def\cprime{$'$} "
}
@book {krein_nudel'man77,
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      YEAR = {1977},
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   MRCLASS = {44A50},
  MRNUMBER = {0458081},
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      NOTE = {Ideas and problems of P. L. \v{C}eby\v{s}ev and A. A. Markov and their
              further development,
              Translated from the Russian by D. Louvish,
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@preamble{
   "\def\cprime{$'$} "
}
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}

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}

@article {purbhoo10,
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   JOURNAL = {Adv. Math.},
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}

@article {purbhoo13,
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}

@incollection {rambau_reiner12,
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 BOOKTITLE = {Associahedra, {T}amari lattices and related structures},
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 PUBLISHER = {Birkh\"auser/Springer, Basel},
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MRREVIEWER = {Margaret M. Bayer},
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}

@article {reiner05,
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       URL = {https://doi-org.proxy.lib.umich.edu/10.1016/j.ejc.2004.06.010},
}

@article {rhoades10,
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MRREVIEWER = {Anna Stokke},
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       URL = {https://dx.doi.org/10.1016/j.jcta.2009.03.017},
}

@article {rietsch97,
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}

@book {rietsch98,
    AUTHOR = {Rietsch, Konstanze Christina},
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 PUBLISHER = {Ph.D.\ thesis, Massachusetts Institute of Technology},
      YEAR = {1998},
     PAGES = {(no paging)},
   MRCLASS = {Thesis},
  MRNUMBER = {2716793},
       URL =
              {http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:0599450},
}

@article {rietsch99,
    AUTHOR = {Rietsch, Konstanze},
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}

@article {rietsch01,
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   JOURNAL = {Duke Math. J.},
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      YEAR = {2001},
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      ISSN = {0012-7094},
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   MRCLASS = {14N35 (14M15 20G20)},
  MRNUMBER = {1869115},
MRREVIEWER = {Andrew Kresch},
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       URL = {https://dx.doi.org/10.1215/S0012-7094-01-11033-8},
}

@article {rietsch06,
    AUTHOR = {Rietsch, Konstanze},
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   JOURNAL = {Nagoya Math. J.},
  FJOURNAL = {Nagoya Mathematical Journal},
    VOLUME = {183},
      YEAR = {2006},
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      ISSN = {0027-7630},
   MRCLASS = {14N15 (14M15 14N35 20G20)},
  MRNUMBER = {2253887},
MRREVIEWER = {Todor E. Milanov},
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       URL = {https://doi-org.proxy.lib.umich.edu/10.1017/S0027763000009272},
}

@article {rietsch08,
    AUTHOR = {Rietsch, Konstanze},
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   JOURNAL = {Adv. Math.},
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      YEAR = {2008},
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   MRCLASS = {14M15 (14J32 14N35 20G20)},
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MRREVIEWER = {Toshiaki Maeno},
       DOI = {10.1016/j.aim.2007.08.010},
       URL = {https://dx.doi.org/10.1016/j.aim.2007.08.010},
}

@article {rietsch09,
    AUTHOR = {Rietsch, Konstanze},
   JOURNAL = {\textup{Unpublished notes}},
      YEAR = {2009},
}

@incollection {ringel98,
    AUTHOR = {Ringel, Claus Michael},
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 PUBLISHER = {Amer. Math. Soc., Providence, RI},
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  MRNUMBER = {1648647},
MRREVIEWER = {Zygmunt Pogorza\l y},
}

@article {rosset89,
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}

@article {rosso12,
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}

@article {ruan_tian95,
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@article {sanyal_sottile_sturmfels11,
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   MRCLASS = {52A05 (14P10 20G05 22C05 52B15 90C22)},
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}

@incollection {schiffmann12,
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 BOOKTITLE = {Geometric methods in representation theory. {II}},
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 PUBLISHER = {Soc. Math. France, Paris},
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}

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}

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}

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    AUTHOR = {Sch\"utzenberger, M. P.},
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       URL = {https://dx.doi.org/10.1016/0012-365X(72)90062-3},
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       URL = {https://dx.doi.org/10.1007/BF02761235},
}

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}

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MRREVIEWER = {K. J. Falconer},
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       URL = {https://dx.doi.org/10.1007/BF02776085},
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      YEAR = {2000},
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   MRCLASS = {14N15 (14M15 14P99)},
  MRNUMBER = {1780204},
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}

@book {sottile11,
    AUTHOR = {Sottile, Frank},
     TITLE = {Real solutions to equations from geometry},
    SERIES = {University Lecture Series},
    VOLUME = {57},
 PUBLISHER = {American Mathematical Society, Providence, RI},
      YEAR = {2011},
     PAGES = {x+200},
      ISBN = {978-0-8218-5331-3},
   MRCLASS = {14P05 (12D10 14M15 14N10 14P25)},
  MRNUMBER = {2830310},
MRREVIEWER = {Didier Henrion},
       DOI = {10.1090/ulect/057},
       URL = {https://doi-org.proxy.lib.umich.edu/10.1090/ulect/057},
}

@article {spaltenstein76,
    AUTHOR = {Spaltenstein, N.},
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   JOURNAL = {Nederl. Akad. Wetensch. Proc. Ser. A {\bf 79}=Indag. Math.},
    VOLUME = {38},
      YEAR = {1976},
    NUMBER = {5},
     PAGES = {452--456},
   MRCLASS = {14M15 (20G05)},
  MRNUMBER = {0485901},
MRREVIEWER = {J. S. Joel},
}

@book {spaltenstein82,
    AUTHOR = {Spaltenstein, Nicolas},
     TITLE = {Classes unipotentes et sous-groupes de {B}orel},
    SERIES = {Lecture Notes in Mathematics},
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 PUBLISHER = {Springer-Verlag, Berlin-New York},
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     PAGES = {ix+259},
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    VOLUME = {54},
      YEAR = {1975},
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     PAGES = {135--142},
   MRCLASS = {57C15 (13H10 52A25)},
  MRNUMBER = {0458437},
MRREVIEWER = {P. McMullen},
}

@article {stanley84,
    AUTHOR = {Stanley, Richard P.},
     TITLE = {On the number of reduced decompositions of elements of
              {C}oxeter groups},
   JOURNAL = {European J. Combin.},
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    VOLUME = {5},
      YEAR = {1984},
    NUMBER = {4},
     PAGES = {359--372},
      ISSN = {0195-6698},
   MRCLASS = {05A15 (17B10 20F10)},
  MRNUMBER = {782057},
MRREVIEWER = {Robert A. Proctor},
       DOI = {10.1016/S0195-6698(84)80039-6},
       URL = {https://doi-org.proxy.lib.umich.edu/10.1016/S0195-6698(84)80039-6},
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@book {stanley96,
    AUTHOR = {Stanley, Richard P.},
     TITLE = {Combinatorics and commutative algebra},
    SERIES = {Progress in Mathematics},
    VOLUME = {41},
   EDITION = {Second edition},
 PUBLISHER = {Birkh\"{a}user Boston, Inc., Boston, MA},
      YEAR = {1996},
     PAGES = {x+164},
      ISBN = {0-8176-3836-9},
   MRCLASS = {05-02 (13F50)},
  MRNUMBER = {1453579},
MRREVIEWER = {Volkmar Welker},
}

@book {stanley99,
    AUTHOR = {Stanley, Richard P.},
     TITLE = {Enumerative combinatorics. {V}ol. 2},
    SERIES = {Cambridge Studies in Advanced Mathematics},
    VOLUME = {62},
      NOTE = {With an appendix by Sergey Fomin},
 PUBLISHER = {Cambridge University Press, Cambridge},
      YEAR = {1999},
     PAGES = {xii+581},
       DOI = {10.1017/CBO9780511609589},
}
      NOTE = {With a foreword by Gian-Carlo Rota and appendix 1 by Sergey
              Fomin},

@book {stanley12,
    AUTHOR = {Stanley, Richard P.},
     TITLE = {Enumerative combinatorics. {V}olume 1},
    SERIES = {Cambridge Studies in Advanced Mathematics},
    VOLUME = {49},
   EDITION = {Second edition},
 PUBLISHER = {Cambridge University Press, Cambridge},
      YEAR = {2012},
     PAGES = {xiv+626},
      ISBN = {978-1-107-60262-5},
   MRCLASS = {05-02 (05A15 06-02)},
  MRNUMBER = {2868112},
}

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   JOURNAL = {Invent. Math.},
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    VOLUME = {36},
      YEAR = {1976},
     PAGES = {209--224},
       DOI = {10.1007/BF01390010},
}

@article {steinberg88,
    AUTHOR = {Steinberg, Robert},
     TITLE = {An occurrence of the {R}obinson--{S}chensted correspondence},
   JOURNAL = {J. Algebra},
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    VOLUME = {113},
      YEAR = {1988},
    NUMBER = {2},
     PAGES = {523--528},
       DOI = {10.1016/0021-8693(88)90177-9},
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@inproceedings {sturmfels88,
    AUTHOR = {Sturmfels, Bernd},
     TITLE = {Totally positive matrices and cyclic polytopes},
 BOOKTITLE = {Proceedings of the {V}ictoria {C}onference on {C}ombinatorial
              {M}atrix {A}nalysis ({V}ictoria, {BC}, 1987)},
   JOURNAL = {Linear Algebra Appl.},
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    VOLUME = {107},
      YEAR = {1988},
     PAGES = {275--281},
      ISSN = {0024-3795},
     CODEN = {LAAPAW},
   MRCLASS = {52A25 (15A48)},
  MRNUMBER = {960150},
MRREVIEWER = {P. McMullen},
       DOI = {10.1016/0024-3795(88)90250-9},
       URL = {https://dx.doi.org/10.1016/0024-3795(88)90250-9},
}

@book {teschl12,
    AUTHOR = {Teschl, Gerald},
     TITLE = {Ordinary differential equations and dynamical systems},
    SERIES = {Graduate Studies in Mathematics},
    VOLUME = {140},
 PUBLISHER = {American Mathematical Society, Providence, RI},
      YEAR = {2012},
     PAGES = {xii+356},
      ISBN = {978-0-8218-8328-0},
   MRCLASS = {34-01 (37-01 39-01)},
  MRNUMBER = {2961944},
MRREVIEWER = {Eleonora Catsigeras},
       DOI = {10.1090/gsm/140},
       URL = {https://doi-org.proxy.lib.umich.edu/10.1090/gsm/140},
}

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