Multivariate Statistical Analysis of Interaction Mechanism and Identity in Multiethnic Community Based on Random Matrix

At a time when the world is undergoing an unprecedented and dramatic change, strengthening the national spirit of the nation is the key to improving national unity and competitiveness, as well as an important force in uniting the Chinese national spirit. In the course of the development of the Internet, the mechanisms of interethnic interactions among multiple ethnic communities are increasingly enriched and there is a trend towards multidisciplinary and permanent research on ethnic cultural identities, resulting in a constant change in the structure of ethnic interaction and identity networks among ethnic communities. At the same time, the particular perspective and successful application of RMT in the physical realm of reality offers great opportunities for the creation of a complex network of interactions. In this thesis, a matrix of weights is developed for group interaction mechanisms and identity systems of multiple ethnic communities, from which the eigenvalues of the network are identified and matched to the energy spectrum of the random matrix. On this basis, the overall interconnections in real information are investigated in terms of the characteristic spectral density, localized features, and frequency band intervals according to the basic principles of the random matrix. The statistics and analysis of the interaction mechanisms and cognitive concepts of ethnic minority groups in China can visualise and analyse the general ideas, methods, and paths of ethnic cultural identity in China. It can promote communication among ethnic groups, enhance people’s cultural identity, and strengthen China’s cultural cohesion.