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@article{N1940,
	Author = {T. Nakayama},
	Date-Added = {2018-03-09 04:35:34 +0000},
	Date-Modified = {2018-03-09 04:36:46 +0000},
	Journal = {Japan. J. Math.},
	Pages = {165--184, 411--423},
	Title = {On some modular properties of irreducible
	representations of a symmetric group. I and II.},
	Volume = {17},
	Year = {1940}}

@article{M-1937,
	Author = {F.D. Murnaghan},
	Journal = {Amer. J. Math.},
	Pages = {739--753},
	Title = {The characters of the symmetric group},
	Volume = {59},
	Number = {4},
	Year = {1937},
	DOI = {10.2307/2371341}}

@article{B2004,
	Author = {D. Bernstein},
	Journal = {J. Symbolic Comput.},
	Pages = {727--748},
	Title = {The computational complexity of rules for the character table of $\mathcal{S}_n$},
	Volume = {37},
	Year = {2004},
	Number = {6},
	DOI = {10.1016/j.jsc.2003.11.001}}

@article{GR1993,
	Author = {I. Gessel and C. Reutenauer},
	Date-Added = {2017-11-12 20:56:07 +0000},
	Date-Modified = {2018-02-22 21:47:10 +0000},
	Journal = {J. Combinatorial Theory, Ser. A},
	Number = {2},
	Pages = {189--215},
	Title = {Counting permutations with given cycle structure and descent set},
	Volume = {64},
	Year = {1993}}

@article{DRS,
	Author = {E. Deutsch and A. Robertson and D. Saracino},
	Date-Added = {2017-11-10 03:16:07 +0000},
	Date-Modified = {2018-02-22 21:46:04 +0000},
	Journal = {Europ. J. Combinatorics},
	Number = {1},
	Pages = {481--498},
	Title = {Refined restricted involutions},
	Volume = {28},
	Year = {2007}}

@article{BHPV,
	Author = {M.B\'{o}na and C. Homberger and J. Pantone and V. Vatter},
	Date-Added = {2017-11-10 03:13:04 +0000},
	Date-Modified = {2018-02-22 21:46:26 +0000},
	Journal = {Australasian J. Comb.},
	Number = {1},
	Pages = {88--119},
	Title = {Pattern-avoiding involutions: exact and asymptotic enumeration},
	Volume = {64},
	Year = {2016}}

@article{SS1985,
	Author = {R. Simion and F. Schmidt},
	Date-Added = {2017-11-10 03:12:07 +0000},
	Date-Modified = {2018-02-22 21:45:52 +0000},
	Journal = {Europ. J. Combinatorics},
	Pages = {383--406},
	Title = {Restricted permutations},
	Volume = {6},
	Year = {1985}}

@article{R2014,
	Author = {Y. Roichman},
	Journal = {S\'{e}minaire Lotharingien de Combinatoire},
	Title = {A note on the number of $k$-roots in $S_n$},
	Volume = {70},
	Year = {2014},
	Pages = {Art. B70i, 5 pp.},
	URL = {https://www.mat.univie.ac.at/~slc/wpapers/s70roich.html}}

@phdthesis{ElizaldePhd,
	Author = {S. Elizalde},
	Date-Added = {2017-11-10 02:57:02 +0000},
	Date-Modified = {2018-02-22 21:45:43 +0000},
	School = {MIT},
	Title = {Statistics on Pattern-avoiding Permutations},
	Year = {2004}}

@article{APR08,
	Author = {R.M. Adin and A. Postnikov and Y. Roichman},
	Date-Added = {2017-11-10 02:44:52 +0000},
	Date-Modified = {2018-02-22 21:47:22 +0000},
	Journal = {J. Algebra},
	Number = {3},
	Pages = {1311--1325},
	Title = {Combinatorial Gelfand models},
	Volume = {320},
	Year = {2008},
	DOI = {10.1016/j.jalgebra.2008.03.030}}

@article{R1997,
	Author = {Y. Roichman},
	Journal = {Adv. in Math.},
	Pages = {24--45},
	Title = {A recursive rule for Kazhdan-Lusztig characters},
	Volume = {129},
	Number = {1},
	Year = {1997},
	DOI = {10.1006/aima.1996.1629}}

@inproceedings{R1998,
	Author = {A. Ram},
	Booktitle = {Mathematical essays in honor of Gian-Carlo Rota},
	Date-Added = {2017-11-09 22:24:41 +0000},
	Date-Modified = {2018-02-22 21:50:27 +0000},
	Organization = {Progr. Math.},
	Pages = {335-342},
	Title = {An elementary proof of Roichman's rule for irreducible characters of Iwahori-Hecke algebras of type A},
	Volume = {161},
	Year = {1998}}

@article{HLR1997,
	Author = {T. Halverson and R. Leduc and A. Ram},
	Date-Added = {2017-11-09 22:22:40 +0000},
	Date-Modified = {2018-02-22 21:46:41 +0000},
	Journal = {Internat. Math. Res. Notices},
	Pages = {401-416},
	Title = {Iwahori-Hecke algebras of type A, bitraces and symmetric functions},
	Year = {1997}}

@article{ER2014,
	Author = {S. Elizalde and Y. Roichman},
	Date-Added = {2017-11-09 22:21:07 +0000},
	Date-Modified = {2018-02-22 21:47:43 +0000},
	Journal = {J. Algebraic Combin.},
	Pages = {301--334},
	Title = {Arc permutations},
	Volume = {39},
	Number = {2},
	Year = {2014},
	DOI = {10.1007/s10801-013-0449-6}}

@article{A2015,
	Author = {C.A. Athanasiadis},
	Date-Added = {2017-11-09 22:19:45 +0000},
	Date-Modified = {2018-02-22 21:46:09 +0000},
	Journal = {Electron. J Combin.},
	Number = {2},
	Pages = {1--9},
	Title = {Power sum expansion of chromatic quasisymmetric functions},
	Volume = {22},
	Year = {2015},
	URL =
	{http://www.combinatorics.org/ojs/index.php/eljc/article/view/v22i2p7/}}

@article{AR2015,
	Author = {R.M. Adin and Y. Roichman},
	Date-Added = {2017-11-09 16:57:56 +0000},
	Date-Modified = {2018-02-22 21:46:35 +0000},
	Journal = {Linear Algebra Appl.},
	Pages = {381-418},
	Title = {Matrices, characters and descents},
	Volume = {469},
	Year = {2015},
	DOI = {10.1016/j.laa.2014.11.028}}

@article{DFH2013,
	Author = {P. Diaconis and J. Fulman and S. Holmes},
	Date-Added = {2017-11-07 17:04:16 +0000},
	Date-Modified = {2018-02-22 21:47:33 +0000},
	Journal = {Ann. Appl. Probab.},
	Number = {4},
	Pages = {1692-1720},
	Title = {Analysis of casino shelf shuffling machines},
	Volume = {23},
	Year = {2013}}

@article{AL2016,
	Author = {K. Archer and L.-K. Lauderdale},
	Date-Added = {2017-11-07 17:02:40 +0000},
	Date-Modified = {2018-02-22 21:46:45 +0000},
	Journal = {Submitted, Preprint at arXiv:1606.04502,},
	Title = {Enumeration of cyclic permutations in $3 \times 1$ grid classes},
	Year = {2016}}

@article{AE2014,
	Author = {K. Archer and S. Elizalde},
	Date-Added = {2017-11-07 17:00:20 +0000},
	Date-Modified = {2018-02-22 21:46:58 +0000},
	Journal = {J. Comb.},
	Pages = {1-30},
	Title = {Cyclic permutations realized by signed shifts},
	Volume = {5},
	Year = {2014}}

@article{T2001,
	Author = {J.-Y. Thibon},
	Date-Added = {2017-11-07 16:50:16 +0000},
	Date-Modified = {2018-02-22 21:45:36 +0000},
	Journal = {Ann. Comb.},
	Pages = {493-500},
	Title = {The cycle enumerator of unimodal permutations},
	Volume = {5},
	Year = {2001}}

@article{G2001,
	Author = {T. Gannon},
	Date-Added = {2017-11-07 16:48:45 +0000},
	Date-Modified = {2018-02-22 21:45:25 +0000},
	Journal = {Discrete Math.},
	Pages = {149-161},
	Title = {The cyclic structure of unimodal permutations},
	Volume = {237},
	Year = {2001}}

@inproceedings{WR1987,
	Address = {Providence, RI},
	Author = {A. Weiss and T.D. Rogers},
	Date-Added = {2017-11-07 16:36:30 +0000},
	Date-Modified = {2017-11-07 17:16:48 +0000},
	Journal = {CMS Conf. Proc.},
	Pages = {703-711},
	Publisher = {Amer. Math. Soc.},
	Title = {The number of orientation reversing cycles in the quadratic map},
	Volume = {8},
	Year = {1987}}

@article{A2016,
	Author = {K. Archer},
	Date-Added = {2017-11-07 16:32:23 +0000},
	Date-Modified = {2018-02-22 21:46:50 +0000},
	Journal = {Discrete Math.},
	Pages = {2399--2409},
	Title = {Descents of $\lambda$-unimodal cycles in a character formula},
	Volume = {339},
	Year = {2016},
	Number = {10},
	DOI = {10.1016/j.disc.2016.04.006}}

@article{AL2017,
	Author = {K. Archer and L.-K. Lauderdale},
	Date-Added = {2017-11-05 19:23:13 +0000},
	Date-Modified = {2018-02-22 21:45:17 +0000},
	Journal = {Electron. J Combin.},
	Number = {3},
	Pages = {P3.36},
	Title = {Unimodal permutations and almost-increasing cycles},
	Volume = {24},
	Year = {2017}}