Department of Mathematics

Operator Algebras Reading

  •  Brent Nelson, MSU
  •  Combinatorics of free probability
  •  02/27/2023
  •  4:00 PM - 5:30 PM
  •  C517 Wells Hall
  •  Brent Nelson (

The lattice of non-crossing partitions plays an important role in the theory of free probability. In particular, it allows one to define the so-called free cumulants, which capture the same information as a non-commutative distribution. In this talk I will provide an introduction to these ideas and show how cumulants offer a characterization of free independence as well as an easy proof of the free central limit theorem.



Department of Mathematics
Michigan State University
619 Red Cedar Road
C212 Wells Hall
East Lansing, MI 48824

Phone: (517) 353-0844
Fax: (517) 432-1562

College of Natural Science