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@article{T,
	Author = {S. Tedford},
	Date-Added = {2017-05-14 11:49:22 +0000},
	Date-Modified = {2017-05-14 11:49:56 +0000},
	Journal = {Integers},
	Pages = {Art. A3},
	Title = {Combinatorial interpretations of convolutions of the Catalan numbers},
	Volume = {11},
	Year = {2011}}

@incollection{Stanley_problems,
	Author = {R. P. Stanley},
	Booktitle = {Mathematics: Frontiers and Perspectives},
	Date-Added = {2017-05-14 11:47:39 +0000},
	Date-Modified = {2017-05-14 11:49:17 +0000},
	Pages = {295--319},
	Publisher = {American Math. Soc.},
	Title = {Positivity problems and conjectures in algebraic combinatorics},
	Year = {2000}}

@article{St3,
	Author = {R. P. Stanley},
	Date-Added = {2017-05-14 11:46:34 +0000},
	Date-Modified = {2017-05-14 11:47:34 +0000},
	Journal = {J. Integer Sequences},
	Pages = {Art. 05.3.8},
	Title = {The descent set and connectivity set of a permutation},
	Url = {https://cs.uwaterloo.ca/journals/JIS/VOL8/Stanley/stanley80.html},
	Volume = {8},
	Year = {2005},
	Bdsk-Url-1 = {https://cs.uwaterloo.ca/journals/JIS/VOL8/Stanley/stanley80.html}}

@book{St2,
	Author = {R. P. Stanley},
	Date-Added = {2017-05-14 11:45:42 +0000},
	Date-Modified = {2017-05-14 11:46:28 +0000},
	Publisher = {Cambridge University Press},
	Series = {Cambridge Studies in Adv. Math., Vol. 62},
	Title = {Enumerative Combinatorics},
	Volume = {2},
	Year = {1999}}

@electronic{OEIS,
	Author = {N. J. A. Sloane},
	Date-Added = {2017-05-14 11:44:50 +0000},
	Date-Modified = {2017-05-14 11:45:35 +0000},
	Title = {The On-Line Encyclopedia of Integer Sequences},
	Url = {http://oeis.org/},
	Bdsk-Url-1 = {http://oeis.org/}}

@inproceedings{Sagan_talk,
	Author = {B. E. Sagan},
	Booktitle = {13th International Permutation Patterns Conference (London, UK, 2015)},
	Date-Added = {2017-05-14 11:43:27 +0000},
	Date-Modified = {2017-05-14 11:44:44 +0000},
	Title = {Pattern avoidance and quasisymmetric functions},
	Url = {https://sites.google.com/site/pp2015london/slides},
	Year = {2015},
	Bdsk-Url-1 = {https://sites.google.com/site/pp2015london/slides}}

@book{Sagan,
	Author = {B. E. Sagan},
	Date-Added = {2017-05-14 11:42:37 +0000},
	Date-Modified = {2017-05-14 11:43:19 +0000},
	Edition = {2},
	Publisher = {Springer-Verlag},
	Series = {Graduate Texts in Math., Vol. 203},
	Title = {The Symmetric Group: Representations, Combinatorial Algorithms, and Symmetric Functions},
	Year = {2001}}

@misc{personal,
	Author = {M. Joseph and T. Roby},
	Date-Added = {2017-05-14 11:42:06 +0000},
	Date-Modified = {2017-05-14 11:51:58 +0000},
	Note = {Personal communication}}

@article{Gessel-Reutenauer,
	Author = {I. M. Gessel and C. Reutenauer},
	Date-Added = {2017-05-14 11:41:06 +0000},
	Date-Modified = {2017-05-14 11:42:02 +0000},
	Doi = {10.1016/0097-3165(93)90095-p},
	Journal = {J. Combin. Theory Ser. A},
	Pages = {189--215},
	Title = {Counting permutations with given cycle structure and descent set},
	Volume = {64},
	Year = {1993},
	Bdsk-Url-1 = {http://dx.doi.org/10.1016/0097-3165(93)90095-p}}

@article{Gessel,
	Author = {I. M. Gessel},
	Date-Added = {2017-05-14 11:40:07 +0000},
	Date-Modified = {2017-05-14 11:41:02 +0000},
	Doi = {10.1090/conm/034/777705},
	Journal = {Contemp. Math.},
	Pages = {289--302},
	Title = {Multipartite $P$-partitions and inner products of Schur functions},
	Volume = {34},
	Year = {1984},
	Bdsk-Url-1 = {http://dx.doi.org/10.1090/conm/034/777705}}

@misc{ER,
	Author = {S. Elizalde and Y. Roichman},
	Date-Added = {2017-05-14 11:38:32 +0000},
	Date-Modified = {2017-05-14 11:40:01 +0000},
	Eprint = {1509.00045},
	Eprinttype = {arxiv},
	Note = {To appear in {\em J. Algebraic Combin.}},
	Title = {Schur-positive sets of permutations via products and grid classes},
	Year = {2016}}

@article{CGG,
	Author = {S. Connolly and Z. Gabor and A. P. Godbole},
	Date-Added = {2017-05-14 11:36:16 +0000},
	Date-Modified = {2017-05-14 11:38:29 +0000},
	Journal = {Integers},
	Pages = {Art. A13},
	Title = {The location of the first ascent in a 123-avoiding permutation},
	Volume = {15},
	Year = {2015}}

@article{C,
	Author = {E. Catalan},
	Date-Added = {2017-05-14 11:35:13 +0000},
	Date-Modified = {2017-05-14 11:36:01 +0000},
	Doi = {10.1007/bf03020089},
	Journal = {Rend. Circ. Mat. Palermo},
	Pages = {190--201},
	Title = {Sur les nombres de Segner},
	Volume = {1},
	Year = {1887},
	Bdsk-Url-1 = {http://dx.doi.org/10.1007/bf03020089}}

@article{ABB,
	Author = {J.-C. Aval and F. Bergeron and N. Bergeron},
	Date-Added = {2017-05-14 11:32:05 +0000},
	Date-Modified = {2017-05-14 11:33:07 +0000},
	Doi = {10.1016/s0001-8708(03)00068-9},
	Journal = {Adv. Math.},
	Pages = {353--367},
	Title = {Ideals of quasi-symmetric functions and super-covariant polynomials for $S_n$},
	Volume = {181},
	Year = {2004},
	Bdsk-Url-1 = {http://dx.doi.org/10.1016/s0001-8708(03)00068-9}}

@article{AAV,
	Author = {M. Albert and M. Atkinson and V. Vatter},
	Date-Added = {2017-05-14 11:31:16 +0000},
	Date-Modified = {2017-05-14 11:32:02 +0000},
	Doi = {10.1112/blms/bdr022},
	Journal = {Bull. London Math. Soc.},
	Pages = {859--870},
	Title = {Subclasses of the separable permutations},
	Volume = {43},
	Year = {2011},
	Bdsk-Url-1 = {http://dx.doi.org/10.1112/blms/bdr022}}

@article{Albert-Atkinson05,
	Author = {M. Albert and M. Atkinson},
	Date-Added = {2017-05-14 11:30:12 +0000},
	Date-Modified = {2017-05-14 11:31:12 +0000},
	Doi = {10.1016/j.disc.2005.06.016},
	Journal = {Discrete Math.},
	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{Adin-R,
	Author = {R. M. Adin and Y. Roichman},
	Date-Added = {2017-05-14 11:28:29 +0000},
	Date-Modified = {2017-05-14 11:30:06 +0000},
	Doi = {10.1016/j.laa.2014.11.028},
	Journal = {Linear Algebra Appl.},
	Pages = {381--418},
	Title = {Matrices, characters and descents},
	Volume = {469},
	Year = {2015},
	Bdsk-Url-1 = {http://dx.doi.org/10.1016/j.laa.2014.11.028}}

@unpublished{ABagR,
	Author = {R. M. Adin and E. Bagno and Y. Roichman},
	Date-Added = {2017-05-14 11:27:01 +0000},
	Date-Modified = {2017-05-14 11:28:12 +0000},
	Note = {Preprint},
	Title = {Block decomposition of permutations and Schur-positivity},
	Year = {2016}}