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@article{GouldenJackson,
	Author = {Goulden, I. P. and Jackson, D. M.},
	Date-Modified = {2017-04-18 07:38:48 +0000},
	Doi = {10.1016/s0195-6698(05)80015-0},
	Journal = {European J. Combin.},
	Pages = {357--365},
	Title = {The combinatorial relationship between trees, cacti and certain connection coefficients for the symmetric group},
	Volume = {13},
	Year = {1992}}

@article{flajoletnoy,
	Author = {Flajolet, P. and Noy, M.},
	Date-Modified = {2017-04-18 07:38:11 +0000},
	Doi = {10.1016/s0012-365x(98)00372-0},
	Journal = {Discrete Math.},
	Pages = {203--229},
	Title = {Analytic combinatorics of non-crossing configurations},
	Volume = {204},
	Year = {1999}}

@misc{igusa,
	Author = {{Igusa}, K.},
	Date-Modified = {2017-04-18 07:43:22 +0000},
	Eprint = {1411.0196},
	Eprinttype = {arXiv},
	Title = {The category of noncrossing partitions},
	Year = 2014}

@unpublished{igusa_orr_etc,
	Author = {{Igusa}, K. and {Orr}, K. and Todorov, G. and Weyman, J.},
	Date-Modified = {2017-04-18 07:40:21 +0000},
	Note = {Preprint},
	Title = {Picture Groups Of Finite Type And Cohomology In Type {$A_n$}},
	Year = {2014}}

@misc{novellithibon,
	Author = {{Novelli}, J.-C. and {Thibon}, J.-Y.},
	Date-Modified = {2017-04-18 07:41:31 +0000},
	Eprint = {1403.5962},
	Eprinttype = {arxiv},
	Title = {Hopf Algebras of m-permutations, (m+1)-ary trees, and m-parking functions},
	Year = 2014}

@misc{ncf_cumulants,
	Author = {{Josuat-Verg{\`e}s}, M. and {Menous}, F. and {Novelli}, J.-C. and {Thibon}, J.-Y.},
	Date-Modified = {2017-04-18 07:41:00 +0000},
	Eprint = {1604.04759},
	Eprinttype = {arxiv},
	Title = {Noncommutative free cumulants},
	Year = 2016}

@article{speicherSLC,
	Author = {Speicher, R.},
	Date-Modified = {2017-04-18 07:42:24 +0000},
	Journal = {S\'em. Lothar. Combin.},
	Pages = {Art. B39c},
	Title = {Free probability theory and non-crossing partitions},
	Url = {https://www.mat.univie.ac.at/~slc/wpapers/s39speicher.html},
	Volume = {39},
	Year = {1997}}

@article{biane,
	Author = {Biane, P.},
	Date-Modified = {2017-04-18 07:37:12 +0000},
	Doi = {10.1016/s0012-365x(96)00139-2},
	Journal = {Discrete Math.},
	Pages = {41--53},
	Title = {Some properties of crossings and partitions},
	Volume = {175},
	Year = {1997}}