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@article{ELIZALDE2009,
	Author = {S. Elizalde},
	Date-Added = {2017-09-07 15:15:35 +0000},
	Date-Modified = {2017-09-07 15:16:39 +0000},
	Journal = {SIAM J. Discrete Math.},
	Pages = {765--786},
	Title = {The number of permutations realized by a shift},
	Volume = {23},
	Year = {2009}}

@unpublished{ELIZALDEPHD04,
	Author = {Sergi Elizalde},
	Date-Added = {2017-04-04 18:25:56 +0000},
	Date-Modified = {2017-04-04 18:26:47 +0000},
	Note = {Ph.D. Thesis},
	Title = {Statistics on Pattern-avoiding Permutations},
	Year = {2004}}

@article{CHENMEIWANG2015,
	Author = {P. Chen and Z. Mei and S. Wang},
	Date-Added = {2016-11-13 18:04:40 +0000},
	Date-Modified = {2016-11-13 18:11:30 +0000},
	Journal = {Electron. J. Combin.},
	Number = {4},
	Pages = {P4.282},
	Title = {Inversion formulae on permutations avoiding 321},
	Volume = {22},
	Year = {2015}}

@article{SAGANSAVAGE2012,
	Author = {B. E. Sagan and C. D. Savage},
	Date-Added = {2016-11-13 18:03:34 +0000},
	Date-Modified = {2016-11-13 18:04:27 +0000},
	Journal = {J. Combin. Theory Ser. A},
	Number = {3},
	Pages = {526--545},
	Title = {Mahonian pairs},
	Volume = {119},
	Year = {2012}}

@article{DDJSS2012,
	Author = {T. Dokos and T. Dwyer and B. P. Johnson and B. E. Sagan and K. Selsor},
	Date-Added = {2016-11-13 18:02:06 +0000},
	Date-Modified = {2016-11-13 18:03:16 +0000},
	Journal = {Discrete Math.},
	Number = {18},
	Pages = {2760--2775},
	Title = {Permutation patterns and statistics},
	Volume = {312},
	Year = {2012}}

@article{BAXTER2014,
	Author = {A. Baxter},
	Date-Added = {2016-11-13 17:53:48 +0000},
	Date-Modified = {2016-11-13 17:55:13 +0000},
	Journal = {Electron. J. Combin.},
	Number = {2},
	Pages = {P2.50},
	Title = {Refining enumeration schemes to count according to permutation statistics},
	Volume = {21},
	Year = {2014}}

@conference{WEISSROGERS1987,
	Address = {Providence},
	Author = {A. Weiss and T. D. Rogers},
	Booktitle = {CMS Conference Proc.},
	Date-Added = {2016-11-13 17:31:58 +0000},
	Date-Modified = {2016-11-13 17:33:48 +0000},
	Editor = {Amer. Math. Soc.},
	Pages = {703--711},
	Title = {The number of orientation reversing cycles in the quadratic map},
	Volume = {8},
	Year = {1987}}

@article{THIBON2001,
	Author = {J.-Y. Thibon},
	Date-Added = {2016-11-13 17:30:54 +0000},
	Date-Modified = {2016-11-13 17:31:43 +0000},
	Journal = {Ann. Comb.},
	Pages = {493--500},
	Title = {The cycle enumerator of unimodal permutations},
	Volume = {5},
	Year = {2001}}

@article{STANLEY2007,
	Author = {R. Stanley},
	Date-Added = {2016-11-13 17:29:41 +0000},
	Date-Modified = {2016-11-13 17:30:31 +0000},
	Journal = {J. Combin. Theory Ser. A},
	Number = {3},
	Pages = {436--460},
	Title = {Alternating permutations and symmetric functions},
	Volume = {114},
	Year = {2007}}

@article{DIACONISFULMANHOLMES2013,
	Author = {P. Diaconis and J. Fulman and S. Holmes},
	Date-Added = {2016-11-13 17:28:04 +0000},
	Date-Modified = {2016-11-13 17:29:16 +0000},
	Journal = {Ann. Appl. Probab.},
	Number = {4},
	Pages = {1692--1720},
	Title = {Analysis of casino shelf shuffling machines},
	Volume = {23},
	Year = {2013}}

@article{ADINROICHMAN2015,
	Author = {R. M. Adin and Y. Roichman},
	Date-Added = {2016-11-13 17:26:31 +0000},
	Date-Modified = {2016-11-13 17:27:29 +0000},
	Journal = {Linear Algebra Appl.},
	Pages = {381--418},
	Title = {Matrices, characters, and descents},
	Volume = {469},
	Year = {2015}}

@article{DEUTSCHELIZALDE2011,
	Author = {E. Deutsch and S. Elizalde},
	Date-Added = {2016-11-13 17:20:55 +0000},
	Date-Modified = {2016-11-13 17:24:46 +0000},
	Journal = {Australas. J. Combin.},
	Pages = {187--199},
	Title = {Cycle up-down permutations},
	Volume = {50},
	Year = {2011}}

@article{ELIZALDE2012,
	Author = {Sergi Elizalde},
	Date-Added = {2016-11-13 14:03:20 +0000},
	Date-Modified = {2016-11-13 14:06:48 +0000},
	Journal = {Electron. J. Combin.},
	Number = {2},
	Pages = {P29},
	Title = {Fixed Points and Excedances in Restricted Permutations},
	Volume = {18},
	Year = {2012}}

@article{BLOOM2009,
	Author = {Jonathan Bloom and Dan Saracino},
	Date-Added = {2016-11-13 13:59:45 +0000},
	Date-Modified = {2016-11-13 14:00:08 +0000},
	Journal = {J. Combin. Theory Ser. A},
	Number = {8},
	Pages = {1271 - 1284},
	Title = {On bijections for pattern-avoiding permutations},
	Volume = {116},
	Year = {2009},
	Bdsk-Url-1 = {http://www.sciencedirect.com/science/article/pii/S009731650900051X},
	Bdsk-Url-2 = {http://dx.doi.org/10.1016/j.jcta.2009.03.006}}

@article{BARNABEI2012,
	Author = {Marilena Barnabei and Flavio Bonetti and Matteo Silimbani},
	Date-Added = {2016-11-13 13:51:03 +0000},
	Date-Modified = {2016-11-13 13:53:52 +0000},
	Journal = {S\'{e}m. Lothar. Combin.},
	Number = {Article B63a},
	Title = {The descent statistic on 123-avoiding permutations},
	Volume = {63},
	Year = {2010}}

@article{REIFEGERSTE2003,
	Author = {Reifegerste, Astrid},
	Date-Added = {2016-11-13 13:47:33 +0000},
	Date-Modified = {2016-11-13 14:01:29 +0000},
	Journal = {Europ. J. Combin.},
	Number = {6},
	Pages = {759--776},
	Title = {On the diagram of 132-avoiding permutations},
	Volume = {24},
	Year = {2003},
	Bdsk-Url-1 = {http://www.sciencedirect.com/science/article/pii/S0195669803000659},
	Bdsk-Url-2 = {http://dx.doi.org/10.1016/S0195-6698(03)00065-9}}

@article{BARNABEI14,
	Author = {Marilena Barnabei and Flavio Bonetti and Sergi Elizalde and Matteo Silimbani},
	Date-Added = {2016-11-13 13:45:35 +0000},
	Date-Modified = {2016-11-13 14:02:05 +0000},
	Journal = {J. Combin. Theory Ser. A},
	Pages = {132 - 148},
	Title = {Descent sets on 321-avoiding involutions and hook decompositions of partitions},
	Volume = {128},
	Year = {2014},
	Bdsk-Url-1 = {http://www.sciencedirect.com/science/article/pii/S0097316514001010},
	Bdsk-Url-2 = {http://dx.doi.org/10.1016/j.jcta.2014.08.002}}

@book{KNUTH73,
	Address = {Reading, MA},
	Author = {D. Knuth},
	Date-Added = {2016-11-08 16:04:41 +0000},
	Date-Modified = {2016-11-08 16:05:40 +0000},
	Publisher = {Addison-Wesley},
	Title = {The Art of Computer Programming},
	Volume = {III},
	Year = {1973}}

@article{GANNON2001,
	Author = {T. Gannon},
	Date-Added = {2016-11-03 17:01:16 +0000},
	Date-Modified = {2016-11-03 17:02:00 +0000},
	Journal = {Discrete Math.},
	Pages = {149-161},
	Title = {The cyclic struction of unimodal permutations},
	Volume = {237},
	Year = {2001}}

@article{ARCHER2016,
	Author = {K. Archer},
	Date-Added = {2016-11-03 16:59:53 +0000},
	Date-Modified = {2016-11-03 17:00:21 +0000},
	Journal = {Discrete Math.},
	Pages = {2399--2409},
	Title = {Descents of $\lambda$-unimodal cycles in a character formula},
	Volume = {339},
	Year = {2016}}

@article{ARCHER-ELIZALDE2014,
	Author = {K. Archer and S. Elizalde},
	Date-Added = {2016-11-03 16:51:00 +0000},
	Date-Modified = {2016-11-03 16:51:33 +0000},
	Journal = {J. Comb.},
	Pages = {1-30},
	Title = {Cyclic permutations realized by signed shifts},
	Volume = {5},
	Year = {2014}}

@article{ARCHER-LAUDERDALE,
	Author = {Kassie Archer and L.-K. Lauderdale},
	Date-Added = {2016-11-03 16:45:25 +0000},
	Date-Modified = {2016-11-09 13:33:55 +0000},
	Journal = {Submission},
	Title = {Enumeration of cyclic permutations in $3 \times 1$ grid classes},
	Year = {2016}}

@article{ELIZALDE11B,
	Author = {S. Elizalde},
	Date-Added = {2016-11-03 14:58:39 +0000},
	Date-Modified = {2016-11-03 18:43:00 +0000},
	Journal = {Ann. Comb.},
	Pages = {51-68},
	Title = {The $\mathcal{X}$-class and almost-increasing permutations},
	Volume = {15},
	Year = {2011}}

@article{ELIZALDE11A,
	Author = {S. Elizalde},
	Date-Added = {2016-06-08 20:39:35 +0000},
	Date-Modified = {2016-11-03 14:25:34 +0000},
	Journal = {Adv. in Appl. Math.},
	Number = {4},
	Pages = {688--709},
	Title = {Descent sets of cyclic permutations},
	Volume = {47},
	Year = {2011}}

@article{GR93,
	Author = {I. Gessel and C. Reutenauer},
	Date-Added = {2016-04-06 04:29:02 +0000},
	Date-Modified = {2016-11-03 14:25:48 +0000},
	Journal = {J. Combin. Theory Ser. A},
	Pages = {189--215},
	Title = {Counting permutations with given cycle structure},
	Volume = {64},
	Year = {1993}}