18 citations · 32 across the 6 of their papers we have counts for
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math.OA2003★ 4 cited
Inequalities related to free entropy derived from random matrix approximation
Fumio Hiai, Denes Petz, Yoshimichi Ueda
Biane proved the free analog of the logarithmic Sobolev inequality for probability measures on the real line by means of random matrix approximation procedure. We show that the sam…
math.PR2003★ 5 cited
On asymptotics of large Haar distributed unitary matrices
Denes Petz, Julia Reffy
Let be an Haar unitary matrix. In this paper, the asymptotic normality and independence of $\Tr U_n, \Tr U_n^2, ..., \Tr U_n^k$ are shown by using elementary met…