A0483
Title: Spectrum of random centrosymmetric matrices
Authors: Indrajit Jana - Indian Institute of Technology, Bhubaneswar (India) [presenting]
Abstract: The asymptotic fluctuations of linear eigenvalue statistics of random centrosymmetric matrices with i.i.d. entries are analyzed. It is proven that for a complex analytic test function, the centered and normalized linear eigenvalue statistics of random centrosymmetric matrices converge to a normal distribution. It is found the exact expression of the variance of the limiting normal distribution via combinatorial arguments. Moreover, it is also argued that the limiting spectral distribution of properly scaled centrosymmetric matrices follows the circular law.
