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math.RT2010
A note on moments of derivatives of characteristic polynomials
Paul-Olivier Dehaye
We present a simple technique to compute moments of derivatives of unitary characteristic polynomials. The first part of the technique relies on an idea of Bump and Gamburd: it use…
math.RT2005
Averages over classical compact Lie groups and Weyl characters
Paul-Olivier Dehaye
We compute $E_G (\prod_i \tr(g^{λ_i}))$, where or with Haar measure. This was first obtained by Persi Diaconis and Mehrdad Shahshahani, but our proo…