114 citations · 194 across the 4 of their papers we have counts for
6 papers
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…
Second Order Freeness and Fluctuations of Random Matrices: II. Unitary Random Matrices
James A. Mingo, Piotr Sniady, Roland Speicher
We extend the relation between random matrices and free probability theory from the level of expectations to the level of fluctuations. We show how the concept of "second order fre…
Geometria nieortodoksyjna
Piotr Sniady
This is an introductory text to differential geometry (written in Polish) aimed for high-school students.
On q-deformed quantum stochastic calculus
Piotr Sniady
In this paper we investigate a quantum stochastic calculus build of creation, annihilation and number of particles operators which fulfill some deformed commutation relations. Name…