174 citations · 1.3k across the 43 of their papers we have counts for
4 papers · 1 filter
A new approach to mutual information. II
Fumio Hiai, Takuho Miyamoto
A new concept of mutual pressure is introduced for potential functions on both continuous and discrete compound spaces via discrete micro-states of permutations, and its relations…
A new approach to mutual information
F. Hiai, D. Petz
A new expression as a certain asymptotic limit via "discrete micro-states" of permutations is provided to the mutual information of both continuous and discrete random variables.
Large deviation for the empirical eigenvalue density of truncated Haar unitary matrices
Denes Petz, Julia Reffy
Let be an Haar unitary matrix and be its truncation. In this paper the large deviation is proven for the empirical eigenvalue density of…
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…