# SUBJECTS OF INTEREST

**Our Areas of Interest**

For a number of years, we have been doing research on topics in free probability, infinite divisibility – analytic and combinatory approach – probabilistic aspects of random matrices and __models in wireless communication__.

We are also currently working on random matrix topics by blocks: non-singularity of structured random matrices; combinatorics in non-commutative probability; operator-valued free probability; large graphics in a context of non-commutative probability; matricial processes, processing of eigenvalues with values in measurements, and associated non-commutative processes, as well as the relationship of random matrices and non-commutative probability to other areas of mathematics such as topology, geometry and representations theory.

Recently, research began into the subject of __non-commutative probability and topological data analysis__. Our contributions can be seen __here__.

On the topic of random matrices in compact groups, number theory and random matrices, __Eduardo Dueñez__, of the University of Texas, San Antonio, has given courses at several of our events, resulting in some __extremely useful material__. He has also overseen undergraduate theses in Mexico.