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math.CO2003
Free probability and representations of large symmetric groups
Piotr Sniady
We study the asymptotic behavior of the free cumulants (in the sense of free probability theory of Voiculescu) of Jucys--Murphy elements--or equivalently--of the transition measure…
math.CO2003
Symmetric groups and random matrices
Piotr Sniady
The convolution of indicators of two conjugacy classes on the symmetric group S_q is usually a complicated linear combination of indicators of many conjugacy classes. Similarly, a…