114 citations · 195 across the 5 of their papers we have counts for
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Generalized Cauchy identities, trees and multidimensional Brownian motions. Part II: Combinatorial differential calculus
Artur Jez, Piotr Sniady
We present an analogue of the differential calculus in which the role of polynomials is played by certain ordered sets and trees. Our combinatorial calculus has all nice features o…
Gaussian fluctuations of characters of symmetric groups and of Young diagrams
Piotr Sniady
We study asymptotics of reducible representations of the symmetric groups S_q for large q. We decompose such a representation as a sum of irreducible components (or, alternatively,…
Generalized Cauchy identities, trees and multidimensional Brownian motions. Part I: bijective proof of generalized Cauchy identities
Piotr Sniady
In this series of articles we study connections between combinatorics of multidimensional generalizations of Cauchy identity and continuous objects such as multidimensional Brownia…
Asymptotics of characters of symmetric groups, genus expansion and free probability
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…