@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}} @misc{AyyerEtAl2012, author = {Arvind Ayyer and Steven Klee and Anne Schilling}, title = {Combinatorial {M}arkov chains on linear extensions}, howpublished = {arXiv:1205.7074}, year = {2012}, note = {http://arxiv.org/abs/1205.7074}, } @misc{AyyerEtAl2013, author = {Arvind Ayyer and Anne Schilling and Benjamin Steinberg and Nicolas M. Thiery}, title = {Directed nonabelian sandpile models on trees}, howpublished = {arXiv:1305.1697}, year = {2013}, note = {http://arxiv.org/abs/1305.1697}, } @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}, } @misc{BergEtAl2012b, author = {Chris Berg and Nantel Bergeron and Franco Saliola and Luis Serrano and Mike Zabrocki}, title = {A lift of the {S}chur and {H}all-{L}ittlewood bases to non-commutative symmetric functions}, howpublished = {arXiv:1208.5191}, year = {2012}, note = {http://arxiv.org/abs/1208.5191}, } @misc{BergEtAl2012c, author = {Chris Berg and Nantel Bergeron and Hugh Thomas and Mike Zabrocki}, title = {Expansion of $k$-{S}chur functions for maximal $k$-rectangles within the affine nil{C}oxeter algebra}, howpublished = {arXiv:1107.3610}, year = {2012}, note = {http://arxiv.org/abs/1107.3610}, } @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}, } @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}, } @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}, } @phdthesis{Denton2011, 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}, } @misc{Denton2012, author = {Tom Denton}, title = {Canonical Decompositions of Affine Permutations, Affine Codes, and Split $k$-{S}chur Functions}, howpublished = {arXiv:1204.2591}, year = {2012}, note = {http://arxiv.org/abs/1204.2591}, } @article{DentonEtAl2011, author = {Tom Denton and Florent Hivert and Anne Schilling and Nicolas M. Thi\'ery}, title = {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}, volume = {AK}, pages = {351--362}, note = {http://arxiv.org/abs/0812.2725}, year = {2009}, } @article{FerayMeliot2012, author = {Valentin F\'eray and Pierre-Lo\"ic M\'eliot}, title = {Asymptotics of $q$-plancherel measures}, journal = {Probability Theory and Related Fields}, volume = {152}, pages = {589--624}, year = {2012}, note = {http://arxiv.org/abs/1001.2180}, } @article{FourierEtAl2009, author = {Ghislain Fourier and Masato Okado and Anne Schilling}, title = {Kirillov-Reshetikhin crystals for nonexceptional types}, journal = {Advances in Mathematics}, volume = {222}, number = {3}, pages = {1080--1116}, year = {2009}, note = {http://arxiv.org/abs/0810.5067}, } @article{FourierEtAl2010, author = {Ghislain Fourier and Masato Okado and Anne Schilling}, title = {Perfectness of Kirillov-Reshetikhin Crystals for Nonexceptional Types}, journal = {Contemporary Mathematics}, volume = {506}, pages = {127--143}, year = {2010}, note = {http://arxiv.org/abs/0811.1604}, } @inproceedings{HivertEtAl2010, author = {Florent Hivert and Anne Schilling and Nicolas M. Thi{\'e}ry}, title = {The biHecke Monoid of A Finite Coxeter Group}, booktitle = {Proceedings of the 22nd International Conference on Formal Power Series and Algebraic Combinatorics}, series = {Discrete Mathematics \& Theoretical Computer Science}, volume = {AN}, pages = {307--318}, year = {2010}, note = {http://www.dmtcs.org/dmtcs-ojs/index.php/proceedings/article/view/dmAN0116}, } @misc{HivertEtAl2012, author = {Florent Hivert and Anne Schilling and Nicolas M. Thi{\'e}ry}, title = {The bi{H}ecke monoid of a finite {C}oxeter group and its representations}, howpublished = {arXiv:1012.1361}, year = {2012}, note = {http://arxiv.org/abs/1012.1361}, } @article{JonesSchilling2010, author = {Brant Jones and Anne Schilling}, title = {Affine Structures and a Tableau Model for $E_6$ Crystals}, journal = {Journal of Algebra}, volume = {324}, number = {9}, pages = {2512--2542}, year = {2010}, note = {http://arxiv.org/abs/0909.2442}, } @article{LamEtAl2010, author = {Thomas Lam and Anne Schilling and Mark Shimozono}, title = {$K$-theory Schubert Calculus of the Affine Grassmannian}, journal = {Compositio Mathematica}, volume = {146}, number = {4}, pages = {811--852}, year = {2010}, note = {http://arxiv.org/abs/0901.1506}, } @book{LamEtAl2013, author = {Thomas Lam and Luc Lapointe and Jennifer Morse and Anne Schilling and Mark Shimozono and Mike Zabrocki}, title = {$k$-{S}chur functions and affine {S}chubert calculus}, publisher = {arxiv}, year = {2013}, note = {http://arxiv.org/abs/1301.3569}, } @misc{LenartEtAl2012a, author = {Cristian Lenart and Satoshi Naito and Daisuke Sagaki and Anne Schilling and Mark Shimozono}, title = {A uniform model for {K}irillov-{R}eshetikhin crystals. {E}xtended abstract}, howpublished = {arXiv:1211.6019}, year = {2012}, note = {http://arxiv.org/abs/1211.6019}, } @misc{LenartEtAl2012b, author = {Cristian Lenart and Satoshi Naito and Daisuke Sagaki and Anne Schilling and Mark Shimozono}, title = {A uniform model for {K}irillov-{R}eshetikhin crystals {I}: {L}ifting the parabolic quantum {B}ruhat graph}, howpublished = {arXiv:1211.2042}, year = {2012}, note = {http://arxiv.org/abs/1211.2042}, } @article{LenartSchilling2013, author = {Cristian Lenart and Anne Schilling}, title = {Crystal energy functions via the charge in types {A} and {C}}, journal = {Mathematische Zeitschrift}, volume = {273}, number = {1-2}, pages = {401--426}, year = {2013}, note = {http://arxiv.org/abs/1107.4169}, } @inproceedings{MorseSchilling2012, author = {Jennifer Morse and Anne Schilling}, title = {A combinatorial formula for fusion coefficients}, booktitle = {Proceedings of the 24th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2012)}, series = {Discrete Mathematics \& Theoretical Computer Science}, volume = {AR}, pages = {735--744}, note = {http://www.dmtcs.org/dmtcs-ojs/index.php/proceedings/article/viewArticle/dmAR0165}, year = {2012}, } @article{MusikerStump2011, author = {Gregg Musiker and Christian Stump}, title = {A Compendium on the Cluster Algebra and Quiver Package in {S}age}, journal = {S{\'e}minaire Lotharingien de Combinatoire}, volume = {65}, number = {}, pages = {B65d}, year = {2011}, note = {http://www.emis.de/journals/SLC/wpapers/s65mustump.html}, } @misc{NakanishiStella2012, author = {Tomoki Nakanishi and Salvatore Stella}, title = {Diagrammatic description of c-vectors and d-vectors of cluster algebras of finite type}, howpublished = {arXiv:1210.6299}, year = {2012}, note = {http://arxiv.org/abs/1210.6299}, } @article{NovelliEtAl2010, author = {Jean-Christophe Novelli and Franco Saliola and Jean-Yves Thibon}, title = {Representation theory of the higher-order peak algebras}, journal = {Journal of Algebraic Combinatorics}, volume = {32}, number = {4}, pages = {465--495}, year = {2010}, note = {http://arxiv.org/abs/0906.5236}, } @article{OkadoEtAl2013, author = {Masato Okado and Reiho Sakamoto and Anne Schilling}, title = {Affine crystal structure on rigged configurations of type D_n^(1)}, journal = {Journal of Algebraic Combinatorics}, volume = {37}, number = {3}, pages = {571--599}, year = {2013}, note = {http://arxiv.org/abs/1109.3523}, } @misc{Pon2011a, author = {Steven Pon}, title = {Affine {S}tanley symmetric functions for classical types}, howpublished = {arXiv:1111.3312}, year = {2011}, note = {http://arxiv.org/abs/1111.3312}, } @article{Pons2011b, author = {Viviane Pons}, title = {Multivariate Polynomials in Sage}, journal = {S{\'e}minaire Lotharingien de Combinatoire}, volume = {66}, number = {7}, pages = {B66z}, year = {2011}, note = {http://www.emis.de/journals/SLC/wpapers/s66pons.html}, } @inproceedings{SchillingTingley2011a, author = {Anne Schilling and Peter Tingley}, title = {Demazure crystals and the energy function}, 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}, } @article{SchillingTingley2012, author = {Anne Schilling and Peter Tingley}, title = {Demazure Crystals, Kirillov-Reshetikhin Crystals, and the Energy Function}, journal = {The Electronic Journal of Combinatorics}, volume = {19}, number = {2}, pages = {P4}, year = {2012}, note = {http://www.combinatorics.org/ojs/index.php/eljc/article/view/v19i2p4}, } @article{SchillingWang2010, author = {Anne Schilling and Qiang Wang}, title = {Promotion Operator on Rigged Configurations of Type A}, journal = {The Electronic Journal of Combinatorics}, volume = {17}, number = {1}, pages = {R24}, year = {2010}, note = {http://www.combinatorics.org/Volume_17/Abstracts/v17i1r24.html}, } @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} }