## Student Analysis and PDE

•  Rodrigo Matos, MSU
•  The Golden-Thompson inequality
•  10/04/2016
•  4:10 PM - 5:00 PM
•  C517 Wells Hall

When A and B are two Hermitian matrices which commute, we have e^(A+B)=e^{A}e^{B}. The goal is to discuss some relationships in the non-commutative case, focusing on the Golden-Thompson inequality, and give applications such as e^A leq e^B implies A \leq B and Chernoff type inequalities for Random Matrices.

## Contact

Department of Mathematics
Michigan State University