Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8256636 | Reports on Mathematical Physics | 2018 | 10 Pages |
Abstract
The k-th moment of the mean empirical spectral distribution (ESD) of the squared unimodular random matrix of dimension N can be expressed in the form Nâ2k-1Qk(N), where Qk(x) is a polynomial of degree k + 1 with integer coefficients. We use tools from traffic-free probability to express the coefficients of this polynomial in terms of the number of quotients, with a certain property, of some colored directed graphs. The obtained result disproves the formula conjectured in A. Lakshminarayan, Z. PuchaÅa, K. Å»yczkowski [3].
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Jorge Garza Vargas,