Random Hermitian Matrices and Hurwitz Numbers

This paper explores the connection between products of random Hermitian matrices and Hurwitz numbers, which count ramified coverings. It extends the one-matrix model and provides insights into the enumeration of specific types of coverings. The study of products of normal random matrices further broadens the scope of the research.

• •Investigates products of random Hermitian matrices.
• •Connects these products to Hurwitz numbers.
• •Focuses on specific types of ramified coverings.
• •Also considers products of normal random matrices.