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rannis2021.bib
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%% This BibTeX bibliography file was created using BibDesk.
%% http://bibdesk.sourceforge.net/
%% Created for Henning Ulfarsson at 2013-06-04 20:34:51 +0000
%% Saved with string encoding Unicode (UTF-8)
@article{Biers-Ariel,
author = { Biers-Ariel,Yonah },
title = { Flexible Schemes for Pattern-Avoiding Permutations },
eprint = { Arxiv:1905.07283v2 },
year = { 2019 },
url = { http://arxiv.org/abs/1905.07283 },
}
@article{banderier_drmota_2015,
title={Formulae and Asymptotics for Coefficients of Algebraic Functions},
volume={24},
number={1},
journal={Combinatorics, Probability and Computing},
publisher={Cambridge University Press},
author={Banderier, C. and Drmota, M.},
year={2015},
pages={1–53}}
@article {randomsamplemethod,
AUTHOR = {Flajolet, Philippe and Zimmerman, Paul and Van Cutsem,
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JOURNAL = {Theoret. Comput. Sci.},
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VOLUME = {132},
YEAR = {1994},
NUMBER = {1-2},
PAGES = {1--35},
}
@incollection{Norell:2009,
title={Dependently typed programming in Agda},
author={Norell, U.},
booktitle={Advanced Functional Programming},
pages={230--266},
year={2009},
publisher={Springer}
}
@thesis{parti,
Author = {Helgason, S. and Robb, J.},
School = {Reykjavik University},
title = {Identifying Combinatorial Structures for Binary Strings and Set Partitions},
year = {2018},
type={Bachelor's thesis},}
@article{CPC:9176379,
author = {Atapour,M. and Madras,N.},
title = {Large Deviations and Ratio Limit Theorems for Pattern-Avoiding Permutations},
journal = {Combinatorics, Probability and Computing},
volume = {23},
issue = {02},
month = {3},
month = {3},
year = {2014},
issn = {1469-2163},
pages = {161--200},
numpages = {40}}
@article{Miner:2014ee,
author = {Miner, S. and Pak, I.},
title = {{The shape of random pattern-avoiding permutations}},
journal = {Advances in Applied Mathematics},
year = {2014},
volume = {55},
number = {C},
pages = {86--130},
month = apr
}
@article {subdecompimplement,
AUTHOR = {Bassino, F. and Bouvel, M. and Pierrot, A.
and Pivoteau, C. and Rossin, D.},
TITLE = {An algorithm computing combinatorial specifications of
permutation classes},
JOURNAL = {Discrete Appl. Math.},
FJOURNAL = {Discrete Applied Mathematics. The Journal of Combinatorial
Algorithms, Informatics and Computational Sciences},
VOLUME = {224},
YEAR = {2017},
PAGES = {16--44},
ISSN = {0166-218X},
MRCLASS = {05A05 (05A15)},
URL = {https://doi.org/10.1016/j.dam.2017.02.013},
}
@article{bousquet-melou:poly-eqs,
Author = {Bousquet-M{\'e}lou, M. and Jehanne, A.},
Journal = {J. Combin. Theory Ser. B},
Number = {5},
Pages = {623--672},
Title = {Polynomial equations with one catalytic variable, algebraic series and map enumeration},
Volume = {96},
Year = {2006},}
@book{flajolet:ac,
Address = {Cambridge},
Annote = {The definitive modern guide to enumerative/analytic combinatorics.},
Author = {Flajolet, P. and Sedgewick, R.},
Pages = {xiv+810},
Publisher = {Cambridge University Press},
Title = {Analytic combinatorics},
Year = {2009}}
@article{Vatter:2011hta,
author = {Vatter, V.},
title = {{Small permutation classes}},
journal = {Proceedings of the London Mathematical Society},
year = {2011},
volume = {103},
number = {5},
pages = {879--921},
month = nov
}
@article{West:1996cy,
author = {West, J.},
title = {{Generating trees and forbidden subsequences}},
journal = {Discrete Mathematics},
year = {1996},
volume = {157},
number = {1-3},
pages = {363--374}}
@article{testsimple,
Author = {Bassino, F. and Bouvel, M. and Pierrot, A. and Rossin, D.},
Fjournal = {Pure Mathematics and Applications. PU.M.A.},
Journal = {Pure Math. Appl. (PU.M.A.)},
Number = {2},
Pages = {119--135},
Title = {Deciding the finiteness of the number of simple permutations contained in a wreath-closed class is polynomial},
Volume = {21},
Year = {2010}}
@article {improvedtestsimple,
AUTHOR = {Bassino, F. and Bouvel, M. and Pierrot, A.
and Rossin, D.},
TITLE = {An algorithm for deciding the finiteness of the number of
simple permutations in permutation classes},
JOURNAL = {Adv. in Appl. Math.},
FJOURNAL = {Advances in Applied Mathematics},
VOLUME = {64},
YEAR = {2015},
PAGES = {124--200},
}
@article {inflationsofgridclasses,
AUTHOR = {Albert, M. and Atkinson, M. D. and Vatter, V.},
TITLE = {Inflations of geometric grid classes: three case studies},
JOURNAL = {Australas. J. Combin.},
FJOURNAL = {The Australasian Journal of Combinatorics},
VOLUME = {58},
YEAR = {2014},
PAGES = {24--47},
}
@article {smoothclasses,
AUTHOR = {B\'ona, M.},
TITLE = {The permutation classes equinumerous to the smooth class},
JOURNAL = {Electron. J. Combin.},
FJOURNAL = {Electronic Journal of Combinatorics},
VOLUME = {5},
YEAR = {1998},
PAGES = {Research Paper 31, 12},
}
@article {le-wilfclasses,
AUTHOR = {Le, I.},
TITLE = {Wilf classes of pairs of permutations of length 4},
JOURNAL = {Electron. J. Combin.},
FJOURNAL = {Electronic Journal of Combinatorics},
VOLUME = {12},
YEAR = {2005},
PAGES = {Research Paper 25, 26},
}
@article {dbis,
AUTHOR = {Albert, M. and Brignall, R.},
TITLE = {Enumerating indices of {S}chubert varieties defined by
inclusions},
JOURNAL = {J. Combin. Theory Ser. A},
FJOURNAL = {Journal of Combinatorial Theory. Series A},
VOLUME = {123},
YEAR = {2014},
PAGES = {154--168},
}
@article {jaysgridclasses,
AUTHOR = {Pantone, J.},
TITLE = {The enumeration of permutations avoiding 3124 and 4312},
JOURNAL = {Ann. Comb.},
FJOURNAL = {Annals of Combinatorics},
VOLUME = {21},
YEAR = {2017},
NUMBER = {2},
PAGES = {293--315},
}
@article {MR1717162,
AUTHOR = {Barcucci, E. and Del Lungo, A. and Pergola, E. and
Pinzani, R.},
TITLE = {E{CO}: a methodology for the enumeration of combinatorial
objects},
JOURNAL = {J. Differ. Equations Appl.},
FJOURNAL = {Journal of Difference Equations and Applications},
VOLUME = {5},
YEAR = {1999},
NUMBER = {4-5},
PAGES = {435--490},
}
@article{EIBEN20021,
title = "Evolutionary computing",
journal = "Information Processing Letters",
volume = "82",
number = "1",
pages = "1 - 6",
year = "2002",
author = "A.E. Eiben and M. Schoenauer",
}
@article{MR2240757,
Author = {Firro, G. and Mansour, T.},
Date-Added = {2013-06-03 11:22:51 +0000},
Date-Modified = {2013-06-03 11:23:02 +0000},
Fjournal = {Electronic Journal of Combinatorics},
Journal = {Electron. J. Combin.},
Number = {1},
Pages = {Research Paper 51, 14},
Title = {Three-letter-pattern-avoiding permutations and functional equations},
Volume = {13},
Year = {2006},
Bdsk-Url-1 = {http://www.combinatorics.org/Volume_13/Abstracts/v13i1r51.html}}
@article{MR2595489,
Author = {Pudwell, L.},
Date-Added = {2013-06-03 11:10:32 +0000},
Date-Modified = {2013-06-03 11:10:44 +0000},
Fjournal = {Electronic Journal of Combinatorics},
Journal = {Electron. J. Combin.},
Number = {1},
Pages = {Research Paper 29, 27},
Title = {Enumeration schemes for permutations avoiding barred patterns},
Volume = {17},
Year = {2010},
Bdsk-Url-1 = {http://www.combinatorics.org/Volume_17/Abstracts/v17i1r29.html}}
@article{MR2901166,
Author = {Baxter, A. and Pudwell, L.},
Date-Added = {2013-06-03 11:09:30 +0000},
Date-Modified = {2013-06-03 11:09:41 +0000},
Journal = {Discrete Math.},
Number = {10},
Pages = {1699--1712},
Title = {Enumeration schemes for vincular patterns},
Volume = {312},
Year = {2012},
Bdsk-Url-1 = {http://dx.doi.org/10.1016/j.disc.2012.01.021}}
@article{MR2376427,
Author = {Vatter, V.},
Date-Added = {2013-06-03 11:08:21 +0000},
Date-Modified = {2013-06-03 11:08:31 +0000},
Fjournal = {Combinatorics, Probability and Computing},
Journal = {Combin. Probab. Comput.},
Number = {1},
Pages = {137--159},
Title = {Enumeration schemes for restricted permutations},
Volume = {17},
Year = {2008},
Bdsk-Url-1 = {http://dx.doi.org/10.1017/S0963548307008516}}
@article{MR1682929,
Author = {Zeilberger, D.},
Date-Added = {2013-06-03 11:06:47 +0000},
Date-Modified = {2013-06-03 11:07:00 +0000},
Fjournal = {Annals of Combinatorics},
Journal = {Ann. Comb.},
Number = {2},
Pages = {185--195},
Title = {Enumeration schemes and, more importantly, their automatic generation},
Volume = {2},
Year = {1998},
Bdsk-Url-1 = {http://dx.doi.org/10.1007/BF01608488}}
@article{GeomGclasses,
Author = {Albert, M. and Atkinson, M. and Bouvel, M. and Ru{\v{s}}kuc, N. and Vatter, V.},
Date-Added = {2013-06-03 10:57:54 +0000},
Date-Modified = {2013-06-03 10:59:29 +0000},
Fjournal = {Transactions of the American Mathematical Society},
Journal = {Trans. Amer. Math. Soc.},
Pages = {5859--5881},
Title = {Geometric grid classes of permutations},
Volume = {365},
Year = {2013}}
@article{Albert:2014gl,
author = {Albert, M. and Ru{\v s}kuc, N. and Vatter, V.},
title = {{Inflations of geometric grid classes of permutations}},
journal = {Israel Journal of Mathematics},
year = {2014},
volume = {205},
number = {1},
pages = {73--108}}
@online{PermLab,
author = {Albert, M.},
title = {PermLab},
note = {\url{http://www.cs.otago.ac.nz/PermLab/}},
url = {http://www.cs.otago.ac.nz/PermLab/},
year = {2014}}
@online{BiSC,
author = {Ulfarsson, H.},
title = {BiSC},
note = {\url{https://github.com/ulfarsson/bisc}},
url = {https://github.com/ulfarsson/bisc},
year = {2016}}
@online{Coq,
author = {The Coq development team},
title = {Coq},
url = {https://coq.inria.fr},
year = {2017}}
@online{algstruct,
author = {Albert, M. and Bean, C. and Claesson, A. and Gudmundsson, B. and Ulfarsson, H.},
title = {Struct},
note = {\url{https://github.com/PermutaTriangle/PermStruct}},
url = {https://github.com/PermutaTriangle/PermStruct},
year = {2016}}
@article{MR2869320,
Author = {Vatter, V.},
Fjournal = {Journal of Symbolic Computation},
Journal = {J. Symbolic Comput.},
Number = {3},
Pages = {259--265},
Title = {Finding regular insertion encodings for permutation classes},
Volume = {47},
Year = {2012}}
@article{MR491652,
Author = {Chung, F. and Graham, R. and Hoggatt, V. and Kleiman, M.},
Date-Added = {2013-06-03 10:49:27 +0000},
Date-Modified = {2013-06-03 10:49:41 +0000},
Journal = {J. Combin. Theory Ser. A},
Number = {3},
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Title = {The number of {B}axter permutations},
Volume = {24},
Year = {1978},
Bdsk-Url-1 = {http://dx.doi.org/10.1016/0097-3165(78)90068-7}}
@article{MR2176523,
Author = {Albert, M. and Linton, S. and Ru{\v{s}}kuc, N.},
Date-Added = {2013-06-03 10:47:52 +0000},
Date-Modified = {2013-06-03 10:48:11 +0000},
Fjournal = {Electronic Journal of Combinatorics},
Journal = {Electron. J. Combin.},
Pages = {Research Paper 47, 31},
Title = {The insertion encoding of permutations},
Volume = {12},
Year = {2005},
Bdsk-Url-1 = {http://www.combinatorics.org/Volume_12/Abstracts/v12i1r47.html}}
@article{MR2170110,
Author = {Albert, M. and Atkinson, M.},
Date-Added = {2013-06-02 21:53:16 +0000},
Date-Modified = {2013-06-02 21:53:34 +0000},
Fjournal = {Discrete Mathematics},
Journal = {Discrete Math.},
Mrreviewer = {Sergey Kitaev},
Number = {1-3},
Pages = {1--15},
Title = {Simple permutations and pattern restricted permutations},
Volume = {300},
Year = {2005},
Bdsk-Url-1 = {http://dx.doi.org/10.1016/j.disc.2005.06.016}}
@article {WilfOfShort,
Author = {Hilmarsson, \'I. and J\'onsd\'ottir, I. and Sigur{\dh}ard{\'o}ttir, S. and Vidarsd\'ottir, L. and Ulfarsson, H.},
TITLE = {Wilf-classification of mesh patterns of short length},
JOURNAL = {Electron. J. Combin.},
FJOURNAL = {Electronic Journal of Combinatorics},
VOLUME = {22},
YEAR = {2015},
NUMBER = {4},
PAGES = {Paper 4.13, 27}}
@unpublished{SaraTalk,
Author = {Billey, S.},
Date-Added = {2013-05-31 17:28:09 +0000},
Date-Modified = {2013-05-31 17:28:09 +0000},
Note = {AWM {A}nniversary {C}onference},
Title = {Consequences of the {L}akshmibai-{S}andhya theorem},
Url = {http://www.math.washington.edu/~billey/talks/awm.pdf},
Year = {2011},
Bdsk-Url-1 = {http://www.math.washington.edu/~billey/talks/awm.pdf}}
@unpublished{MinerTalk,
Author = {Miner, S.},
Note = {Permutation Patterns},
Title = {Enumeration of several 2 by 4 permutation classes},
Url = {https://permutationpatterns2016.wordpress.com/program/},
Year = {2016}}
@article{MR2199982,
Author = {Albert, M. H. and Elder, M. and Rechnitzer, A. and Westcott, P. and Zabrocki, M.},
Date-Added = {2013-05-31 14:40:52 +0000},
Date-Modified = {2013-06-03 13:11:54 +0000},
Fjournal = {Advances in Applied Mathematics},
Journal = {Adv. in Appl. Math.},
Number = {2},
Pages = {96--105},
Title = {On the {S}tanley-{W}ilf limit of 4231-avoiding permutations and a conjecture of {A}rratia},
Volume = {36},
Year = {2006},
Bdsk-Url-1 = {http://dx.doi.org/10.1016/j.aam.2005.05.007}}
@article{MR1857258,
Author = {Claesson, A.},
Date-Added = {2013-05-31 13:55:05 +0000},
Date-Modified = {2013-06-03 13:12:25 +0000},
Fjournal = {European Journal of Combinatorics},
Journal = {European J. Combin.},
Number = {7},
Pages = {961--971},
Title = {Generalized pattern avoidance},
Volume = {22},
Year = {2001},
Bdsk-Url-1 = {http://dx.doi.org/10.1006/eujc.2001.0515}}
@incollection{CU,
Author = {Claesson, A. and Ulfarsson, H.},
Booktitle = {24th {I}nternational {C}onference on {F}ormal {P}ower {S}eries and {A}lgebraic {C}ombinatorics ({FPSAC} 2012)},
Pages = {595--606},
Publisher = {Assoc. Discrete Math. Theor. Comput. Sci., Nancy},
Series = {Discrete Math. Theor. Comput. Sci. Proc., AR},
Title = {Sorting and preimages of pattern classes},
Year = {2012}}
@phdthesis{BeanPhd,
Author = {Bean, C.},
School = {Reykjavik University},
Title = {Finding structure in permutation patterns},
Year = {2018}}
@mastersthesis{MagnussonMSC,
Author = {Magnusson, H.},
School = {Reykjavik University},
Title = {Sorting operators and their preimages},
Year = {2013}}
@mastersthesis{MurrayMSC,
Author = {Tannock, M.},
School = {Reykjavik University},
Title = {Equivalence classes of mesh patterns with a dominating pattern},
Year = {2016}}
@mastersthesis{TomasMSc,
Author = {Magnusson, T.},
School = {Reykjavik University},
Title = {Forced permutation patterns and applications to coincidence classification of mesh patterns and enumeration of permutation classes},
Year = {2018}}
@article{MR2971010,
Author = {Ulfarsson, H.},
Fjournal = {S\'eminaire Lotharingien de Combinatoire},
Journal = {S\'em. Lothar. Combin.},
Pages = {Art. B67d, 20},
Title = {Describing {W}est-3-stack-sortable permutations with permutation patterns},
Volume = {67},
Year = {2011/12}}
@unpublished{biscjointpaper,
Author = {Ulfarsson, H. and Magnusson, H.},
Date-Added = {2013-05-29 14:18:14 +0000},
Date-Modified = {2013-05-29 14:19:51 +0000},
Note = {Preprint. arXiv:1211.7110},
Title = {Algorithms for discovering and proving theorems about permutation patterns}}
@article{MR2813307,
Author = {Kodama, Y. and Williams, L.},
Date-Added = {2013-05-29 14:12:58 +0000},
Date-Modified = {2013-06-03 13:13:10 +0000},
Fjournal = {Proceedings of the National Academy of Sciences of the United States of America},
Journal = {Proc. Natl. Acad. Sci. USA},
Number = {22},
Pages = {8984--8989},
Title = {K{P} solitons, total positivity, and cluster algebras},
Volume = {108},
Year = {2011},
Bdsk-Url-1 = {http://dx.doi.org/10.1073/pnas.1102627108}}
@article{fukuda:042202,
Author = {M. Fukuda and P. Sniady},
Date-Added = {2013-05-29 14:11:16 +0000},
Date-Modified = {2013-06-03 13:12:44 +0000},
Journal = {Journal of Mathematical Physics},
Keywords = {combinatorial mathematics; differential geometry; eigenvalues and eigenfunctions; matrix algebra; Poisson distribution; polynomials; quantum theory},
Number = {4},
Numpages = {23},
Publisher = {AIP},
Title = {Partial transpose of random quantum states: Exact formulas and meanders},
Volume = {54},
Year = {2013},
Bdsk-Url-1 = {http://link.aip.org/link/?JMP/54/042202/1},
Bdsk-Url-2 = {http://dx.doi.org/10.1063/1.4799440}}
@book{MR2518996,
Address = {Cambridge, MA},
Author = {Fertin, G. and Labarre, A. and Rusu, I. and Tannier, {\'E}. and Vialette, S.},
Date-Added = {2013-05-29 13:59:52 +0000},
Date-Modified = {2013-05-31 17:00:38 +0000},
Pages = {xvi+288},
Publisher = {MIT Press},
Series = {Computational Molecular Biology},
Title = {Combinatorics of genome rearrangements},
Year = {2009}}
@book{Bona:2004:CP:993861,
Address = {Boca Raton, FL, USA},
Author = {Bona, Miklos},
Date-Added = {2011-06-13 23:29:10 +0000},
Date-Modified = {2011-06-13 23:29:10 +0000},
Isbn = {1584884347},
Publisher = {CRC Press, Inc.},
Title = {Combinatorics of Permutations},
Year = {2004}}
@book{K11,
Author = {Kitaev, Sergey},
Date-Added = {2011-06-13 23:24:00 +0000},
Date-Modified = {2011-06-13 23:25:38 +0000},
Publisher = {Springer-Verlag},
Title = {Patterns in {P}ermutations and {W}ords (with a foreword by {J}effrey {B}. {R}emmel)},
Volume = {Monographs in Theoretical Computer Science},
Year = {2011}}
@article{1161.05301,
Abstract = {{Summary: Several authors have examined connections among 132-avoiding
permutations, continued fractions, and Chebyshev polynomials of the second
kind. In this paper we find analogues for some of these results for
permutations $\pi$ avoiding 132 and $1\square 23$ (there is no occurrence
$\pi_i<\pi_j<\pi_{j+1}$ such that $1\leq i\leq j-2$) and provide a
combinatorial interpretation for such permutations in terms of lattice
paths. Using tools developed to prove these analogues, we give enumerations
and generating functions for permutations which avoid both 132 and $1\square
23$, and certain additional patterns. We also give generating functions for
permutations avoiding 132 and $1\square 23$ and containing certain
additional patterns exactly once. In all cases we express these generating
functions in terms of Chebyshev polynomials of the second kind.}},
Author = {Hou, Qing-Hu and Mansour, Toufik},
Classmath = {{05A05 (Permutations, words, matrices) 05A15 (Exact enumeration problems, generating functions) 33C45 (Orthogonal polynomials and functions of hypergeometric type) 11A55 (Continued fractions (number-theoretic results)) }},
Date-Added = {2011-06-13 21:20:40 +0000},
Date-Modified = {2011-06-13 21:20:40 +0000},
Doi = {10.1016/j.dam.2005.11.004},
Journal = {Discrete Appl. Math.},
Keywords = {{restricted permutation; pattern-avoiding permutation; forbidden subsequence; continued fraction; Chebyshev polynomial}},
Language = {English},
Number = {8},
Pages = {1183-1197},
Reviewer = {{}},
Title = {{Horse paths, restricted 132-avoiding permutations, continued fractions, and Chebyshev polynomials.}},
Volume = {154},
Year = {2006},
Bdsk-Url-1 = {http://dx.doi.org/10.1016/j.dam.2005.11.004}}
@article{MR2087303,
Author = {Reiner, V. and Stanton, D. and White, D.},
Coden = {JCBTA7},
Date-Added = {2011-06-13 16:08:11 +0000},
Date-Modified = {2011-06-14 23:18:15 +0000},
Doi = {10.1016/j.jcta.2004.04.009},
Fjournal = {Journal of Combinatorial Theory. Series A},
Issn = {0097-3165},
Journal = {J. Combin. Theory Ser. A},
Mrclass = {05A15 (05A30 05E99 20B05 20F55)},
Mrreviewer = {Timothy Y. Chow},
Number = {1},
Pages = {17--50},
Title = {The cyclic sieving phenomenon},
Url = {http://dx.doi.org/10.1016/j.jcta.2004.04.009},
Volume = {108},
Year = {2004},
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Bdsk-Url-1 = {http://dx.doi.org/10.1016/j.jcta.2004.04.009}}
@article{MR2652101,
Author = {Bousquet-M{\'e}lou, M. and Claesson, A. and Dukes, M. and Kitaev, S.},
Coden = {JCBTA7},
Date-Added = {2011-05-27 09:58:22 +0000},
Date-Modified = {2011-06-14 23:23:18 +0000},
Fjournal = {Journal of Combinatorial Theory. Series A},
Journal = {J. Combin. Theory Ser. A},
Mrclass = {05A19 (05A05 06A07)},
Mrreviewer = {Sergi Elizalde},
Number = {7},
Pages = {884--909},
Title = {{$(2+2)$}-free posets, ascent sequences and pattern avoiding permutations},
Volume = {117},
Year = {2010}}
@article{MR1013667,
Author = {Wolper, James S.},
Coden = {ADMTA4},
Date-Added = {2010-02-25 12:07:35 +0000},
Date-Modified = {2011-06-14 23:14:08 +0000},
Doi = {10.1016/0001-8708(89)90048-0},
Fjournal = {Advances in Mathematics},
Issn = {0001-8708},
Journal = {Adv. Math.},
Mrclass = {14M15 (14M17)},
Mrreviewer = {E. Aky{\i}ld{\i}z},
Number = {2},
Pages = {184--193},
Title = {A combinatorial approach to the singularities of {S}chubert varieties},
Url = {http://dx.doi.org/10.1016/0001-8708(89)90048-0},
Volume = {76},
Year = {1989}}
@article{MR1780766,
Annote = {Contains conjecture showed to be false by Billey-Vakil.},
Author = {Eriksson, Kimmo and Linusson, Svante},
Date-Added = {2009-09-24 15:56:50 +0000},
Date-Modified = {2009-09-24 15:56:58 +0000},
Fjournal = {Advances in Applied Mathematics},
Issn = {0196-8858},
Journal = {Adv. in Appl. Math.},
Mrclass = {14M15 (05E15)},
Mrnumber = {MR1780766 (2002e:14086)},
Mrreviewer = {Christian Ohn},
Number = {2},
Pages = {212--227},
Title = {A decomposition of {${\rm Fl}(n)\sp d$} indexed by permutation arrays},
Volume = {25},
Year = {2000}}
@article{MR0389732,
Annote = {Number theoretic properties relating to natural permutations.},
Author = {Dressler, Robert E. and Shult, Ernest E.},
Date-Added = {2010-03-31 13:12:15 +0000},
Date-Modified = {2010-03-31 13:13:13 +0000},
Fjournal = {Proceedings of the American Mathematical Society},
Issn = {0002-9939},
Journal = {Proc. Amer. Math. Soc.},
Mrclass = {10A15},
Mrnumber = {MR0389732 (52 \#10563)},
Mrreviewer = {Richard T. Bumby},
Pages = {53--54},
Title = {A simple proof of the {Z}olotareff-{F}robenius theorem},
Volume = {54},
Year = {1976},
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@article{Y10,
Author = {Young, Benjamin},
Date-Added = {2010-04-27 10:00:41 +0000},
Date-Modified = {2011-06-14 23:06:07 +0000},
Journal = {C. R. Math. Acad. Sci. Paris},
Number = {13-14},
Pages = {713-716},
Title = {A solution to one of {K}nuth's permutation problems},
Volume = {348},
Year = {2010}}
@unpublished{K03,
Author = {Kitaev, Sergey},
Date-Added = {2009-09-29 09:21:03 +0000},
Date-Modified = {2009-09-29 09:22:27 +0000},
Note = {preprint},
Title = {A survey of certain permutation problems},
Url = {http://www2.ru.is/kennarar/sergey/publications.html},
Year = {2003}}
@unpublished{structpaper,
Author = {Bean, C. and Gudmundsson, B. and Ulfarsson, H.},
Note = {To appear in Mathematics of Computation},
Title = {Automatic discovery of structural rules of permutation classes},
Year = {2018}}
@article{U11,
Author = {Ulfarsson, H.},
Date-Added = {2011-06-09 14:25:55 +0000},
Date-Modified = {2011-06-10 09:31:50 +0000},
Journal = {Pure Math. Appl. to appear},
Title = {A unification of permutation patterns related to {S}chubert varieties},
Year = {2011}}
@article{billey-2008,
Annote = {Shows when a Schubert variety in the affine Grassmannian $\mathcal{L}_G$ is
rationally smooth.},
Author = {Billey, Sara C. and Mitchell, Stephen A.},
Date-Added = {2009-09-24 15:37:45 +0000},
Date-Modified = {2011-06-14 23:25:42 +0000},
Howpublished = {preprint},
Journal = {Electron. J. Combin.},
Number = {2, Special volume in honor of Anders Bjorner},
Pages = {Research Paper 18, 45},
Title = {Affine partitions and affine {G}rassmannians},
Url = {http://www.citebase.org/abstract?id=oai:arXiv.org:0803.3647},
Volume = {16},
Year = {2009}}
@incollection{AGV2,
Address = {Providence, RI},
Author = {Abramovich, Dan and Graber, Tom and Vistoli, Angelo},
Booktitle = {Orbifolds in mathematics and physics ({M}adison, {WI}, 2001)},
Date-Added = {2008-10-25 16:03:52 +0000},
Date-Modified = {2008-10-25 16:03:52 +0000},
Mrclass = {14N35 (14A20 53D45)},
Mrnumber = {MR1950940 (2004c:14104)},
Mrreviewer = {Tyler J. Jarvis},
Pages = {1--24},
Publisher = {Amer. Math. Soc.},
Series = {Contemp. Math.},
Title = {Algebraic orbifold quantum products},
Volume = {310},
Year = {2002}}
@article{MR2199985,
Author = {Elizalde, Sergi},
Date-Added = {2011-06-12 12:26:25 +0000},
Date-Modified = {2011-06-14 23:21:19 +0000},
Doi = {10.1016/j.aam.2005.05.006},
Fjournal = {Advances in Applied Mathematics},
Issn = {0196-8858},
Journal = {Adv. in Appl. Math.},
Mrclass = {05A05 (05A16)},
Mrreviewer = {Sergey Kitaev},
Number = {2},
Pages = {138--155},
Title = {Asymptotic enumeration of permutations avoiding generalized patterns},
Url = {http://dx.doi.org/10.1016/j.aam.2005.05.006},
Volume = {36},
Year = {2006},
Bdsk-Url-1 = {http://dx.doi.org/10.1016/j.aam.2005.05.006}}
@book{LMB,
Author = {G. Laumon and L. Moret-Bailly},
Date-Added = {2008-10-25 16:03:52 +0000},
Date-Modified = {2008-10-25 16:03:52 +0000},
Isbn = {3-540-65761-4},
Publisher = {Springer-Verlag},
Series = {Ergebnisse der Mathematik und ihrer Grenzgebiete},
Title = {Champs Algebrique},
Volume = {39},
Year = {2000}}
@article{MR1669280,
Annote = {States a non-negativity conjecture for quiver coefficients, later verified by Buch-Kresch-Tamvakis-Yong.},
Author = {Buch, Anders Skovsted and Fulton, William},
Coden = {INVMBH},
Date-Added = {2009-09-25 11:02:36 +0000},
Date-Modified = {2009-09-25 11:03:45 +0000},
Fjournal = {Inventiones Mathematicae},
Issn = {0020-9910},
Journal = {Invent. Math.},
Mrclass = {14N15 (05E10 14C17 14M15)},
Mrnumber = {MR1669280 (2000f:14087)},
Mrreviewer = {Gary P. Kennedy},
Number = {3},
Pages = {665--687},
Title = {Chern class formulas for quiver varieties},
Volume = {135},
Year = {1999}}
@unpublished{M10,
Author = {McGovern, William M.},
Date-Added = {2011-01-11 15:17:15 +0000},
Date-Modified = {2011-01-23 14:06:54 +0000},
Month = {July},
Note = {arXiv:0907.1049},
Title = {Closures of K-orbits in the flag variety for {SU}*(2n)},
Year = {2010}}
@article{Lunt2001,
Author = {Valery A. Lunts},
Date-Added = {2008-08-02 17:10:23 +0000},
Date-Modified = {2008-08-03 13:06:16 +0000},
Journal = {Journal of Algebra},
Pages = {379-406},
Title = {Coherent Sheaves on Configuration Schemes},
Volume = {244},
Year = {2001}}
@article{MR1934291,
Author = {Gasharov, V. and Reiner, V.},
Coden = {JLMSAK},
Date-Added = {2010-03-10 15:56:19 +0000},
Date-Modified = {2011-06-14 23:20:54 +0000},
Doi = {10.1112/S0024610702003605},
Fjournal = {Journal of the London Mathematical Society. Second Series},
Issn = {0024-6107},
Journal = {J. London Math. Soc. (2)},
Mrclass = {14M15 (05E15 14F25)},
Mrreviewer = {Raika Dehy},
Number = {3},
Pages = {550--562},
Title = {Cohomology of smooth {S}chubert varieties in partial flag manifolds},
Url = {http://dx.doi.org/10.1112/S0024610702003605},
Volume = {66},
Year = {2002}}
@article{AV,
Author = {Abramovich, Dan and Vistoli, Angelo},
Date-Added = {2008-10-25 16:03:52 +0000},
Date-Modified = {2008-10-25 16:03:52 +0000},
Fjournal = {Journal of the American Mathematical Society},
Issn = {0894-0347},
Journal = {J. Amer. Math. Soc.},
Mrclass = {14H10 (14A20 14D20 14N35)},
Mrnumber = {MR1862797 (2002i:14030)},
Mrreviewer = {Tyler J. Jarvis},
Number = {1},
Pages = {27--75 (electronic)},
Read = {No},
Title = {Compactifying the space of stable maps},
Volume = {15},
Year = {2002}}
@book{I71,
Address = {Berlin},
Author = {Illusie, Luc},
Date-Added = {2008-08-04 15:29:01 +0000},
Date-Modified = {2008-10-27 11:41:40 +0000},
Mrclass = {14B10 (14D15 14F20 55D20)},
Mrnumber = {MR0491680 (58 \#10886a)},
Mrreviewer = {Larry Breen},
Pages = {xv+355},
Publisher = {Springer-Verlag},
Series = {Lecture Notes in Mathematics, Vol. 239},
Title = {Complexe cotangent et d\'eformations. {I}},
Year = {1971}}
@unpublished{ASV11,
Author = {Atkinson, M.D. and Sagan, Bruce E. and Vatter, Vincent},
Date-Added = {2011-06-11 21:42:53 +0000},
Date-Modified = {2011-06-11 21:43:51 +0000},
Note = {preprint},
Title = {Counting $(3+1)$-avoiding permutations},
Year = {2011}}
@article{MR1245159,
Annote = {Trouble with getting access to article.
Anders: might be relevant to the relation between the number of cycles in
a permutation and its corresponding pair of tableaux.},
Author = {Gessel, Ira M. and Reutenauer, Christophe},
Coden = {JCBTA7},
Date-Added = {2009-09-24 11:15:58 +0000},
Date-Modified = {2009-09-24 11:21:58 +0000},
Fjournal = {Journal of Combinatorial Theory. Series A},
Issn = {0097-3165},
Journal = {J. Combin. Theory Ser. A},
Mrclass = {05A15 (05E05)},
Mrnumber = {MR1245159 (95g:05006)},
Number = {2},
Pages = {189--215},
Title = {Counting permutations with given cycle structure and descent set},
Volume = {64},
Year = {1993}}
@article{MR1788170,
Author = {Bergeron, Fran{\c{c}}ois and Gascon, Francis},
Date-Added = {2010-05-18 14:24:22 +0000},
Date-Modified = {2010-05-18 14:24:22 +0000},
Fjournal = {Journal of Integer Sequences},
Issn = {1530-7638},
Journal = {J. Integer Seq.},
Mrclass = {05E10 (05A15)},
Mrnumber = {MR1788170 (2001g:05102)},
Number = {1},
Pages = {Article 00.1.7, 1 HTML document (electronic)},
Title = {Counting {Y}oung tableaux of bounded height},
Volume = {3},
Year = {2000}}
@article{MR1051089,
Author = {Lakshmibai, V. and Sandhya, B.},
Date-Added = {2009-09-24 16:01:00 +0000},
Date-Modified = {2011-06-14 23:18:47 +0000},
Fjournal = {Indian Academy of Sciences. Proceedings. Mathematical Sciences},
Journal = {Proc. Indian Acad. Sci. Math. Sci.},
Mrclass = {14M15 (14L35)},
Mrreviewer = {H. H. Andersen},
Number = {1},
Pages = {45--52},
Title = {Criterion for smoothness of {S}chubert varieties in {${\rm Sl}(n)/B$}},
Volume = {100},
Year = {1990}}
@article{MR2290808,
Author = {Corteel, Sylvie},
Date-Added = {2011-05-27 11:25:12 +0000},
Date-Modified = {2011-06-14 23:22:12 +0000},
Doi = {10.1016/j.aam.2006.01.006},
Fjournal = {Advances in Applied Mathematics},
Issn = {0196-8858},
Journal = {Adv. in Appl. Math.},
Mrclass = {05A05 (05A15 33D15)},
Mrreviewer = {Mikl{\'o}s B{\'o}na},
Number = {2},
Pages = {149--163},
Title = {Crossings and alignments of permutations},
Url = {http://dx.doi.org/10.1016/j.aam.2006.01.006},
Volume = {38},
Year = {2007}}
@article{CKS09,
Author = {Claesson, A. and Kitaev, S. and Steingr{\'{\i}}msson, E.},
Date-Added = {2011-06-11 23:37:39 +0000},
Date-Modified = {2011-06-11 23:38:46 +0000},
Journal = {Adv. Appl. Math.},
Pages = {313-328},
Title = {Decompositions and statistics for beta(1,0)-trees and nonseparable permutations},
Volume = {42},
Year = {2009}}
@article{MR1974319,
Author = {Yong, Alexander},
Coden = {PAMYAR},
Date-Added = {2009-09-25 10:19:14 +0000},
Date-Modified = {2009-09-25 10:19:14 +0000},
Fjournal = {Proceedings of the American Mathematical Society},
Issn = {0002-9939},
Journal = {Proc. Amer. Math. Soc.},
Mrclass = {14N15 (05E10 14N10 14N35)},
Mrnumber = {MR1974319 (2004c:14102)},
Mrreviewer = {Frank Sottile},
Number = {9},
Pages = {2649--2655 (electronic)},
Title = {Degree bounds in quantum {S}chubert calculus},
Volume = {131},
Year = {2003}}
@book{MR1676282,
Address = {Cambridge},
Author = {Stanley, Richard P.},
Date-Added = {2009-12-02 12:35:32 +0000},
Date-Modified = {2009-12-02 12:35:32 +0000},
Isbn = {0-521-56069-1; 0-521-78987-7},
Mrclass = {05A15 (05-02 05E05 05E10 68R05)},
Mrnumber = {MR1676282 (2000k:05026)},
Mrreviewer = {Ira Gessel},
Note = {With a foreword by Gian-Carlo Rota and appendix 1 by Sergey Fomin},
Pages = {xii+581},
Publisher = {Cambridge University Press},
Series = {Cambridge Studies in Advanced Mathematics},
Title = {Enumerative combinatorics. {V}ol. 2},
Volume = {62},
Year = {1999}}
@book{MR847717,
Address = {Monterey, CA},
Author = {Stanley, Richard P.},
Date-Added = {2009-12-02 12:34:22 +0000},
Date-Modified = {2009-12-02 12:34:22 +0000},
Isbn = {0-534-06546-5},
Mrclass = {05-02 (05A15 06-02 11-02)},
Mrnumber = {MR847717 (87j:05003)},
Mrreviewer = {Joe Roberts},
Note = {With a foreword by Gian-Carlo Rota},
Pages = {xiv+306},
Publisher = {Wadsworth \& Brooks/Cole Advanced Books \& Software},
Series = {The Wadsworth \& Brooks/Cole Mathematics Series},
Title = {Enumerative combinatorics. {V}ol. {I}},
Year = {1986}}
@unpublished{U10,
Author = {\'Ulfarsson, Henning},
Date-Added = {2010-05-30 17:18:27 +0000},
Date-Modified = {2011-06-14 23:29:38 +0000},
Note = {arXiv:1005.5419},
Title = {Equivalence classes of permutations avoiding a pattern},
Url = {http://arxiv.org/abs/1005.5419},
Year = {2010},
Bdsk-Url-1 = {http://arxiv.org/abs/1005.5419}}
@unpublished{Stopple,
Author = {Stopple, Jeffrey},
Date-Added = {2010-02-28 14:35:10 +0000},
Date-Modified = {2010-02-28 14:36:10 +0000},
Note = {preprint},