Asymptotic $\ast$--distribution of permuted Haar unitary matrices

James A. Mingo, Mihai Popa, Kamil Szpojankowski

We study Haar unitary random matrices with permuted entries. For a sequence of permutations ${\left({\sigma }_N\right)}_N$, where ${\sigma }_N$ acts on $N\times N$ matrices we identify conditions un…