Empirical deviations of semicircle law in mixed-matrix ensembles

Mehmet Süzen (1)

1 American Physical Society

An algorithm is introduced for sampling a set of matrices from mixed orders random matrix ensembles, i.e., Mixed Matrix Ensemble Sampling (MMES). The concept of the degree of mixture of the matrix ensemble provides a balanced sampling of the mixed matrix ensemble. As an application of MMES, we have shown how the semicircle law deviates from the conventional behaviour in mixed Gaussian Orthogonal Ensemble (mGOE) as a novel finding.

Domaines: Physique [physics]

Mehmet Süzen. Empirical deviations of semicircle law in mixed-matrix ensembles. 2021. ⟨hal-03464130⟩