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math.PR2012★ 18 cited
Kerov's interlacing sequences and random matrices
Alexey Bufetov
To a real symmetric matrix Kerov assigns a piecewise linear function whose local minima are the eigenvalues of this matrix and whose local maxima are the eigenvalues o…
math.RT2012
A CLT for Plancherel representations of the infinite-dimensional unitary group
Alexei Borodin, Alexey Bufetov
We study asymptotics of traces of (noncommutative) monomials formed by images of certain elements of the universal enveloping algebra of the infinite-dimensional unitary group in i…