Through connections with random matrix theory and quantum chaos, the appeal is even broader.

Eigenvalues are often introduced in the context of linear algebra or matrix theory.

It allows the adaptation of many results from matrix theory and module theory.

As such, results from matrix theory can sometimes be extended to compact operators using similar arguments.

The invariance of the above term is described by matrix theory.

Perhaps of greatest practical importance is the field of random matrix theory.

The connections with random matrix theory and quantum chaos are also of interest.

The distribution F is associated to unitary ensembles in random matrix theory.

Another good example is random matrix theory, which can be used to identify the noise in financial correlation matrices.

In order to prove the previous equation some facts from matrix theory must be recalled.