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Sage-Combinat.bib
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@STRING{igm_electronic={electronic version} }
@STRING{igm_phddoc={Th\`ese de doctorat} }
@STRING{igmc_conf_fpsac={Formal Power Series and Algebraic Combinatorics} }
@STRING{igmc_conf_icms={International Congress on Mathematical Software} }
@STRING{igmc_dmtc={Discrete Mathematics and Theoretical Computer Science Proceedings} }
@STRING{igmc_dmtc={Discrete Mathematics and Theoretical Computer Science Proceedings} }
@STRING{igmc_ejc= {European Journal of Combinatorics} }
@STRING{igmc_shortlncs={LNCS} }
@STRING{igmc_univ={I.G.M., Universit\'e de Marne-la-Vall\'ee} }
@STRING{igmcp_springer={Springer-Verlag} }
@STRING{igm_electronic={electronic version} }
@STRING{igm_submited={Submited} }
@STRING{igm_electronic={electronic version} }
@STRING{igmc_ejc= {European Journal of Combinatorics} }
@STRING{igmc_aiam={Advances in Applied Mathematics} }
@STRING{igmcp_elsev={Elsevier} }
@STRING{igm_electronic={electronic version} }
@STRING{igmc_craspi={Comptes Rendus Math\'ematique. Acad\'emie des Sciences. Paris. S\'erie I} }
@STRING{igmc_fm = {Fundamenta Mathematicae} }
@STRING{igmc_tcs= {Theoretical Computer Science} }
@STRING{igm_electronic={electronic version} }
@STRING{igmc_jctsa={Journal of Combinatorial Theory Series A} }
@STRING{igmc_conf_fpsac={Formal Power Series and Algebraic Combinatorics}}
@article{AguiarEtAl2012,
AUTHOR = {Aguiar, Marcelo and Andr{\'e}, Carlos and Benedetti, Carolina
and Bergeron, Nantel and Chen, Zhi and Diaconis, Persi and
Hendrickson, Anders and Hsiao, Samuel and Isaacs, I. Martin
and Jedwab, Andrea and Johnson, Kenneth and Karaali, Gizem and
Lauve, Aaron and Le, Tung and Lewis, Stephen and Li, Huilan
and Magaard, Kay and Marberg, Eric and Novelli,
Jean-Christophe and Pang, Amy and Saliola, Franco and Tevlin,
Lenny and Thibon, Jean-Yves and Thiem, Nathaniel and
Venkateswaran, Vidya and Vinroot, C. Ryan and Yan, Ning and
Zabrocki, Mike},
TITLE = {Supercharacters, symmetric functions in noncommuting
variables, and related {H}opf algebras},
JOURNAL = {Adv. Math.},
FJOURNAL = {Advances in Mathematics},
VOLUME = {229},
YEAR = {2012},
NUMBER = {4},
PAGES = {2310-2337},
ISSN = {0001-8708},
CODEN = {ADMTA4},
MRCLASS = {16T30 (05E05 16T05)},
MRNUMBER = {2880223},
MRREVIEWER = {Cristian Vay},
DOI = {10.1016/j.aim.2011.12.024},
URL = {http://dx.doi.org/10.1016/j.aim.2011.12.024},
}
@article{AyyerEtAl2012,
AUTHOR = {Ayyer, Arvind and Klee, Steven and Schilling, Anne},
TITLE = {Combinatorial {M}arkov chains on linear extensions},
JOURNAL = {J. Algebraic Combin.},
FJOURNAL = {Journal of Algebraic Combinatorics. An International Journal},
VOLUME = {39},
YEAR = {2014},
NUMBER = {4},
PAGES = {853--881},
ISSN = {0925-9899},
MRCLASS = {06A05},
MRNUMBER = {3199029},
DOI = {10.1007/s10801-013-0470-9},
URL = {http://dx.doi.org/10.1007/s10801-013-0470-9},
howpublished = {arXiv:1205.7074},
}
@article{AyyerEtAl2013A,
author = {Arvind Ayyer and Steven Klee and Anne Schilling},
title = {Markov chains for promotion operators},
journal = {Fields Communications Series, Springer},
howpublished = {arXiv:1307.7499},
year = {2013},
note = {http://arxiv.org/abs/1307.7499},
}
@article{AyyerEtAl2013B,
AUTHOR = {Ayyer, Arvind and Schilling, Anne and Steinberg, Benjamin and
Thi{\'e}ry, Nicolas M.},
TITLE = {Directed {N}onabelian {S}andpile {M}odels on {T}rees},
JOURNAL = {Comm. Math. Phys.},
FJOURNAL = {Communications in Mathematical Physics},
VOLUME = {335},
YEAR = {2015},
NUMBER = {3},
PAGES = {1065--1098},
ISSN = {0010-3616},
MRCLASS = {82-XX},
MRNUMBER = {3320305},
DOI = {10.1007/s00220-015-2343-7},
URL = {http://dx.doi.org/10.1007/s00220-015-2343-7},
howpublished = {arXiv:1305.1697},
}
@article{AyyerEtAl2014,
AUTHOR = {Ayyer, Arvind and Schilling, Anne and Steinberg, Benjamin and
Thi{\'e}ry, Nicolas M.},
TITLE = {Markov chains, {$\scr{R}$}-trivial monoids and representation
theory},
JOURNAL = {Internat. J. Algebra Comput.},
FJOURNAL = {International Journal of Algebra and Computation},
VOLUME = {25},
YEAR = {2015},
NUMBER = {1-2},
PAGES = {169--231},
ISSN = {0218-1967},
MRCLASS = {60J10 (05E10 20M30 47D03 60C05)},
MRNUMBER = {3325881},
DOI = {10.1142/S0218196715400081},
URL = {http://dx.doi.org/10.1142/S0218196715400081},
howpublished = {arXiv:1401.4250},
}
@inproceedings{BandlowEtAl2011a,
author = {Jason Bandlow and Anne Schilling and Mike Zabrocki},
title = {The Murnaghan-Nakayama rule for $k$-Schur functions},
booktitle = {Proceedings of the 23rd International Conference on Formal Power Series and Algebraic Combinatorics},
series = {Discrete Mathematics \& Theoretical Computer Science},
volume = {AO},
pages = {99-110},
note = {http://www.dmtcs.org/dmtcs-ojs/index.php/proceedings/article/view/dmAO0110},
year = {2011},
}
@article{BandlowEtAl2011b,
author = {Jason Bandlow and Anne Schilling and Mike Zabrocki},
title = {The Murnaghan-Nakayama rule for $k$-Schur functions},
journal = {Journal of Combinatorial Theory, Series A},
volume = {118},
number = {5},
pages = {1588-1607},
year = {2011},
note = {http://arxiv.org/abs/1004.4886},
}
@article{BergEtAl2012a,
author = {Chris Berg and Nantel Bergeron and Steven Pon and Mike Zabrocki},
title = {Expansions of $k$-{S}chur Functions in the Affine nil{C}oxeter Algebra},
journal = {Electronic Journal of Combinatorics},
volume = {19},
number = {2},
pages = {P55},
year = {2012},
note = {http://www.combinatorics.org/ojs/index.php/eljc/article/view/v19i2p55},
}
@article{BergEtAl2012b,
AUTHOR = {Berg, Chris and Bergeron, Nantel and Saliola, Franco and
Serrano, Luis and Zabrocki, Mike},
TITLE = {A lift of the {S}chur and {H}all-{L}ittlewood bases to
non-commutative symmetric functions},
JOURNAL = {Canad. J. Math.},
FJOURNAL = {Canadian Journal of Mathematics. Journal Canadien de
Math\'ematiques},
VOLUME = {66},
YEAR = {2014},
NUMBER = {3},
PAGES = {525--565},
ISSN = {0008-414X},
MRCLASS = {05E05},
MRNUMBER = {3194160},
MRREVIEWER = {Ang{\`e}le M. Hamel},
DOI = {10.4153/CJM-2013-013-0},
URL = {http://dx.doi.org/10.4153/CJM-2013-013-0},
note = {http://arxiv.org/abs/1208.5191},
}
@article{BergEtAl2012c,
AUTHOR = {Berg, Chris and Bergeron, Nantel and Thomas, Hugh and
Zabrocki, Mike},
TITLE = {Expansion of $k$-{S}chur functions for maximal rectangles
within the affine nil{C}oxeter algebra},
JOURNAL = {J. Comb.},
FJOURNAL = {Journal of Combinatorics},
VOLUME = {3},
YEAR = {2012},
NUMBER = {3},
PAGES = {563-589},
ISSN = {2156-3527},
MRCLASS = {05E05 (05E10 16S99)},
MRNUMBER = {3029445},
DOI = {10.4310/JOC.2012.v3.n3.a9},
URL = {http://dx.doi.org/10.4310/JOC.2012.v3.n3.a9},
howpublished = {arXiv:1107.3610},
note = {http://arxiv.org/abs/1107.3610},
}
@article{BergEtAl2013a,
AUTHOR = {Berg, Chris and Bergeron, Nantel and Saliola, Franco and
Serrano, Luis and Zabrocki, Mike},
TITLE = {Indecomposable modules for the dual immaculate basis of
quasi-symmetric functions},
JOURNAL = {Proc. Amer. Math. Soc.},
FJOURNAL = {Proceedings of the American Mathematical Society},
VOLUME = {143},
YEAR = {2015},
NUMBER = {3},
PAGES = {991--1000},
ISSN = {0002-9939},
MRCLASS = {05E05 (20C08)},
MRNUMBER = {3293717},
DOI = {10.1090/S0002-9939-2014-12298-2},
URL = {http://dx.doi.org/10.1090/S0002-9939-2014-12298-2},
note = {http://arxiv.org/abs/1304.1224},
}
@misc{BergEtAl2013b,
author = {Chris Berg and Nantel Bergeron and Franco Saliola and Luis Serrano and Mike Zabrocki},
title = {Multiplicative structures of the immaculate basis of non-commutative symmetric functions},
howpublished = {arXiv:1305.4700},
year = {2013},
note = {http://arxiv.org/abs/1305.4700},
}
@misc{BergEtAl2014,
author = {Chris Berg and Viviane Pons and Travis Scrimshaw and Jessica Striker and Christian Stump},
title ={Find{S}tat - the combinatorial statistics database},
howpublished ={arXiv:1401.3690},
year = {2014},
note = {http://arxiv.org/abs/1401.3690},
}
@misc{Borger2013,
author = {James M. Borger},
title = {Witt vectors, semirings, and total positivity},
howpublished = {arXiv:1310.3013},
year = {2013},
note = {http://arxiv.org/abs/1310.3013},
}
@phdthesis{Borie2011,
author = {Nicolas Borie},
title = {Calculate invariants of permutation groups by Fourier Transform},
school = {Laboratoire de math\'ematiques d'Orsay},
address = {University of Paris-Sud 11, Orsay, France},
year = {2011},
note = {http://www.sagemath.org/files/thesis/borie-thesis-2011.pdf},
}
@misc{BorieThiery2011,
author = {Nicolas Borie and Nicolas M. Thi\'ery},
title = {An evaluation approach to computing invariants rings of permutation groups},
howpublished = {arXiv:1110.3849},
year = {2011},
note = {http://arxiv.org/abs/1110.3849},
}
@article{BumpNakasuji2011,
author = {Daniel Bump and Maki Nakasuji},
title = {Casselman's Basis of Iwahori Vectors and the Bruhat Order},
journal = {Canadian Journal of Mathematics},
volume = {63},
pages = {1238-1253},
year = {2011},
note = {http://arxiv.org/abs/1002.2996},
}
@book{BumpSchilling2017,
AUTHOR = {Bump, Daniel and Schilling, Anne},
TITLE = {{C}rystal {B}ases: {R}epresentations and {C}ombinatorics},
YEAR = {2017},
PUBLISHER = {World Scientific},
ISBN = {978-981-4733-43-4},
}
@book{CasamayouEtAl2013,
author = {Alexandre Casamayou and Nathann Cohen and Guillaume Connan and Thierry Dumont and Laurent Fousse and Fran\c{c}ois Maltey and Matthias Meulien and Marc Mezzarobba and Cl\'ement Pernet and Nicolas M. Thi\'ery and Paul Zimmermann},
title = {{C}alcul {M}ath\'ematique avec {S}age},
publisher = {CreateSpace},
year = {2013},
note = {http://sagebook.gforge.inria.fr},
}
@misc{ChapotonEtAl2013,
author = {Fr\'ed\'eric Chapoton and Florent Hivert and Jean-Christophe Novelli},
title = {A set-operad of formal fractions and dendriform-like sub-operads},
howpublished = {arXiv:1307.0092},
year = {2013},
note = {http://arxiv.org/abs/1307.0092},
}
@article{DavidThiery2011,
author = {Marie-Claude David and Nicolas M. Thi\'ery},
title = {Exploration of finite dimensional Kac algebras and lattices of intermediate subfactors of irreducible inclusions},
journal = {Journal of Algebra and Its Applications},
volume = {10},
number = {5},
pages = {995-1106},
year = {2011},
note = {http://arxiv.org/abs/0812.3044},
}
@inproceedings{Denton2010,
author = {Tom Denton},
title = {A combinatorial formula for orthogonal idempotents in the 0-Hecke algebra of $S_N$},
booktitle = {Proceedings of the 22nd International Conference on Formal Power Series and Algebraic Combinatorics},
series = {Discrete Mathematics \& Theoretical Computer Science},
volume = {AN},
pages = {701-712},
note = {http://www.dmtcs.org/dmtcs-ojs/index.php/proceedings/article/viewArticle/dmAN0150},
year = {2010},
}
@article{Denton2011A,
author = {Tom Denton},
title = {A combinatorial formula for orthogonal idempotents in the 0-Hecke algebra of the symmetric group},
journal = {Electronic Journal of Combinatorics},
volume = {18},
number = {1},
pages = {P28},
year = {2011},
note = {http://www.emis.de/journals/EJC/Volume_18/Abstracts/v18i1p28.html},
}
@phdthesis{Denton2011B,
author = {Tom Denton},
title = {Excursions into Algebra and Combinatorics at q=0},
school = {Department of Mathematics},
address = {University of California, Davis, USA},
year = {2011},
note = {http://www.sagemath.org/files/thesis/denton-thesis-2011.pdf},
}
@article{Denton2012A,
author = {Tom Denton},
title = {Canonical Decompositions of Affine Permutations, Affine Codes, and Split $k$-Schur Functions},
journal = {Electronic Journal of Combinatorics},
volume = {19},
number = {4},
pages = {P19},
year = {2012},
note = {http://www.combinatorics.org/ojs/index.php/eljc/article/view/v19i4p19},
}
@article{Denton2012B,
AUTHOR = {Denton, Tom},
TITLE = {Algebraic and affine pattern avoidance},
JOURNAL = {S\'em. Lothar. Combin.},
FJOURNAL = {S\'eminaire Lotharingien de Combinatoire},
VOLUME = {69},
YEAR = {2012},
PAGES = {Art. B69c, 40},
ISSN = {1286-4889},
MRCLASS = {05E10 (20Mxx)},
MRNUMBER = {3118909},
}
@article{DentonEtAl2011,
author = {Tom Denton and Florent Hivert and Anne Schilling and Nicolas M. Thi\'ery},
title = {On the representation theory of $\mathcal{J}$-trivial monoids},
journal = {S\'eminaire Lotharingien de Combinatoire},
volume = {64},
pages = {B64d},
year = {2011},
note = {http://www.emis.de/journals/SLC/wpapers/s64dehiscth.html},
}
@article{Drake2010,
author = {Dan Drake},
title = {Bijections from Weighted Dyck Paths to Schr\"oder Paths},
journal = {Journal of Integer Sequences},
volume = {13},
number = {9},
pages = {10.9.2},
year = {2010},
note = {http://www.cs.uwaterloo.ca/journals/JIS/VOL13/Drake/drake.html},
}
@inproceedings{DrakeKim2009,
author = {Dan Drake and Jang Soo Kim},
title = {$k$-distant Crossings and Nestings of Matchings and Partitions},
booktitle = {Proceedings of the 21st International Conference on Formal Power Series and Algebraic Combinatorics},
series = {Discrete Mathematics \& Theoretical Computer Science},
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MRNUMBER = {2891384},
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URL = {http://dx.doi.org/10.1016/j.jcta.2012.01.011},
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URL = {http://dx.doi.org/10.1090/S0002-9939-2014-11961-7},
}
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author = {Cristian Lenart and Satoshi Naito and Daisuke Sagaki and Anne Schilling and Mark Shimozono},
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year = {2014},
note = {http://arxiv.org/abs/1402.2202},
}
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author = {Andrew Mathas},
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}
@phdthesis{Pons2013,
author = {Viviane Pons},
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school = {Marne-la-Valle},
address = {Marne-la-Valle, France},
year = {2013},
}
@misc{PonsChatel2013,
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}
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number = {3},
pages = {523--546},
doi = {10.1007/s10468-015-9587-y},
howpublished = {arxiv:1505.07040},
note = {http://arxiv.org/abs/1505.07040},
}
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volume = {24},
year = {2017},
number = {1},
pages = {Paper 1.30, 13},
note = {https://arxiv.org/abs/1509.07833},
}
@article {SalisburyScrimshaw2017b,
AUTHOR = {Salisbury, Ben and Scrimshaw, Travis},
TITLE = {Using rigged configurations to model {$B(\infty)$}},
JOURNAL = {S\'em. Lothar. Combin.},
FJOURNAL = {S\'eminaire Lotharingien de Combinatoire},
VOLUME = {78B},
YEAR = {2017},
PAGES = {Art. 34, 12},
}
@article{SalisburyScrimshaw2018,
author = {Salisbury, Ben and Scrimshaw, Travis},
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year = {2018},
howpublished = {arXiv:1601.06137},
note = {to appear, http://arxiv.org/abs/1601.06137},
journal = {Lett. Math. Phys.},
}
@inproceedings{SchillingTingley2011a,
author = {Anne Schilling and Peter Tingley},
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booktitle = {Proceedings of the 23rd International Conference on Formal Power Series and Algebraic Combinatorics},
series = {Discrete Mathematics \& Theoretical Computer Science},
volume = {AO},
pages = {861-872},
note = {http://www.dmtcs.org/dmtcs-ojs/index.php/proceedings/article/view/dmAO0175},
year = {2011},
}
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pages = {P4},
year = {2012},
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}
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volume = {17},
number = {1},
pages = {R24},
year = {2010},
note = {http://www.combinatorics.org/Volume_17/Abstracts/v17i1r24.html},
}
@phdthesis{Scrimshaw2015,
author = {Travis Scrimshaw},
title = {Crystals and rigged configurations},
school = {Department of Mathematics},
address = {University of California, Davis, USA},
year = {2015},
note = {http://gradworks.umi.com/37/23/3723720.html},
}
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JOURNAL = {J. Algebra},
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VOLUME = {448},
YEAR = {2016},
PAGES = {294--349},
DOI = {10.1016/j.jalgebra.2015.09.047},
NOTE = {https://arxiv.org/abs/1505.05910},
}
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TITLE = {Rigged configurations as tropicalizations of loop {S}chur functions},
JOURNAL = {J. Integrable Syst.},
FJOURNAL = {Journal of Integrable Systems},
VOLUME = {2},
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NOTE = {https://arxiv.org/abs/1607.03232},
}
@misc{Thiery2008,
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year = {2008},
note = {http://arxiv.org/abs/0912.2619},
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@misc{Thiery2009,
author = {Nicolas M. Thi{\'e}ry},
title = {Sage-Combinat, Free and Practical Software for Algebraic Combinatorics},
howpublished = {Software demonstration, FPSAC'09, Hagenberg, Austria},
year = {2009},
note = {http://wiki.sagemath.org/combinat?action=AttachFile&do=get&target=2009-07-20-FPSAC.pdf}
}
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@article{GrinbergRoby2014B,
author = {Darij Grinberg and Tom Roby},
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@article{Schilling2014,
title={{R}ichard {S}tanley through a crystal lens and from a random angle},
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@article{MorseSchilling2016,
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note={http://arxiv.org/abs/1408.0320},
}
@article{SchillingScrimshaw2014,
title={{C}rystal structure on rigged configurations and the filling map},
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@article{AyyerSchillingThiery2016,
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