Ultra high order cumulants and quantitative CLT for polynomials in
Random Matrices
Ultra high order cumulants and quantitative CLT for polynomials in
Random Matrices
From the study of the high order freeness of random matrices, it is known that the order $r$ cumulant of the trace of a polynomial of $N$-dimensional GUE/GOE is of order $N^{2-r}$ if $r$ is fixed. In this work, we extend the study along three directions. First, we also consider …