A Criterion for the Covering Condition of Generalized Random Matrix Ensembles

TL;DR

This paper introduces a criterion that simplifies verifying the covering condition across seven classes of generalized random matrix ensembles, enhancing understanding and analysis of these mathematical structures.

Contribution

The paper provides a unified and simplified criterion for checking the covering condition in various classes of generalized random matrix ensembles, advancing theoretical analysis.

Findings

Unified criterion for covering condition verification

Simplified process applicable to seven classes

Enhanced theoretical understanding of random matrix ensembles

Abstract

In this paper we present a criterion for the covering condition of the generalized random matrix ensemble, which enable us to verify the covering condition for the seven classes of generalized random matrix ensemble in an unified and simpler way.