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@article{OO97,
	Author = {Okounkov, A. and Olshanski, G.},
	Date-Modified = {2017-05-14 07:56:18 +0000},
	Journal = {Algebra i Analiz},
	Pages = {73--146},
	Title = {Shifted {S}chur functions},
	Volume = {9},
	Year = {1997}}

@article{IK99,
	Author = {Ivanov, V. and Kerov, S.},
	Date-Modified = {2017-05-14 07:50:27 +0000},
	Journal = {Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI)},
	Pages = {95--120},
	Title = {The algebra of conjugacy classes in symmetric groups, and partial permutations},
	Volume = {256},
	Year = {1999}}

@article{Kho14,
	Author = {Khovanov, M.},
	Date-Modified = {2017-05-14 07:55:01 +0000},
	Doi = {10.4064/fm225-1-8},
	Journal = {Fund. Math.},
	Pages = {169--210},
	Title = {Heisenberg algebra and a graphical calculus},
	Volume = {225},
	Year = {2014},
	Bdsk-Url-1 = {http://dx.doi.org/10.4064/fm225-1-8}}

@article{KO94,
	Author = {Kerov, S. and Olshanski, G.},
	Date-Modified = {2017-05-14 07:53:49 +0000},
	Journal = {C. R. Acad. Sci. Paris S\'er. I Math.},
	Pages = {121--126},
	Title = {Polynomial functions on the set of {Y}oung diagrams},
	Volume = {319},
	Year = {1994}}

@article{Ker93,
	Author = {Kerov, S.},
	Date-Modified = {2017-05-14 07:53:26 +0000},
	Journal = {Funktsional. Anal. i Prilozhen.},
	Pages = {32--49},
	Title = {Transition probabilities of continual {Y}oung diagrams and the {M}arkov moment problem},
	Volume = {27},
	Year = {1993}}

@incollection{GJS10,
	Author = {Guionnet, A. and Jones, V. F. R. and Shlyakhtenko, D.},
	Booktitle = {Quanta of Maths},
	Date-Modified = {2017-05-14 07:47:02 +0000},
	Pages = {201--239},
	Publisher = {Amer. Math. Soc.},
	Series = {Clay Math. Proc., Vol. 11},
	Title = {Random matrices, free probability, planar algebras and subfactors},
	Year = {2010}}

@article{L09,
	Author = {Lassalle, M.},
	Date-Modified = {2017-05-14 07:55:54 +0000},
	Doi = {10.1016/j.aim.2009.07.007},
	Journal = {Adv. Math.},
	Pages = {2227--2269},
	Title = {Jack polynomials and free cumulants},
	Volume = {222},
	Year = {2009},
	Bdsk-Url-1 = {http://dx.doi.org/10.1016/j.aim.2009.07.007}}

@article{Ker00,
	Author = {Kerov, S.},
	Date-Modified = {2017-05-14 07:52:17 +0000},
	Journal = {Funktsional. Anal. i Prilozhen.},
	Pages = {51--64},
	Title = {Anisotropic {Y}oung diagrams and symmetric {J}ack functions},
	Volume = {34},
	Year = {2000}}

@incollection{IO02,
	Author = {Ivanov, V. and Olshanski, G.},
	Booktitle = {Symmetric Functions 2001: Surveys of Developments and Perspectives},
	Date-Modified = {2017-05-14 08:00:00 +0000},
	Pages = {93--151},
	Publisher = {Kluwer Acad. Publ.},
	Series = {NATO Sci. Ser. II Math. Phys. Chem., Vol. 74},
	Title = {Kerov's central limit theorem for the {P}lancherel measure on {Y}oung diagrams},
	Year = {2002}}

@article{B98,
	Author = {Biane, P.},
	Date-Modified = {2017-05-14 07:46:22 +0000},
	Doi = {10.1006/aima.1998.1745},
	Journal = {Adv. Math.},
	Pages = {126--181},
	Title = {Representations of symmetric groups and free probability},
	Volume = {138},
	Year = {1998},
	Bdsk-Url-1 = {http://dx.doi.org/10.1006/aima.1998.1745}}

@book{HO07,
	Author = {Hora, A. and Obata, N.},
	Date-Modified = {2017-05-14 07:48:32 +0000},
	Doi = {10.1007/3-540-48863-4},
	Publisher = {Springer},
	Series = {Theoretical and Mathematical Physics},
	Title = {Quantum Probability and Spectral Analysis of Graphs},
	Year = {2007},
	Bdsk-Url-1 = {http://dx.doi.org/10.1007/3-540-48863-4}}

@article{OkV04,
	Author = {Vershik, A. and Okounkov, A.},
	Date-Modified = {2017-05-14 07:57:44 +0000},
	Journal = {Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI)},
	Pages = {57--98},
	Title = {A new approach to representation theory of symmetric groups. {II}},
	Volume = {307},
	Year = {2004}}

@incollection{Bia03,
	Author = {Biane, P.},
	Booktitle = {Asymptotic Combinatorics with Applications to Mathematical Physics ({S}t. {P}etersburg, 2001)},
	Date-Modified = {2017-05-14 07:45:35 +0000},
	Pages = {185--200},
	Publisher = {Springer},
	Series = {Lecture Notes in Math., Vol. 1815},
	Title = {Characters of symmetric groups and free cumulants},
	Year = {2003}}

@misc{KLM16,
	Author = {{Kvinge}, H. and {Licata}, A. M. and {Mitchell}, S.},
	Date-Modified = {2017-05-14 08:10:06 +0000},
	Eprint = {1610.04571},
	Eprinttype = {arxiv},
	Title = {{Khovanov's Heisenberg category, moments in free probability, and shifted symmetric functions}},
	Year = 2016}

@incollection{SW97,
	Author = {Speicher, R. and Woroudi, R.},
	Booktitle = {Free Probability Theory ({W}aterloo, {ON}, 1995)},
	Date-Modified = {2017-05-14 07:57:17 +0000},
	Pages = {267--279},
	Publisher = {Amer. Math. Soc.},
	Series = {Fields Inst. Commun., Vol. 12},
	Title = {Boolean convolution},
	Year = {1997}}