Wednesday, January 25, 2023 - 09:00 in ZOOM - Video Conference
Moments of partial traces and Weingarten calculus
A talk in the Seminar Zufallsmatrizen series by
Sho Matsumoto from Kagoshima University
| Abstract: |
We consider a uniform random Hermitian matrix acting on the tensor
product of two finite-dimensional vector spaces, and study the
probability distribution of its partial traces (marginals). More
specifically, we find formulas for mixed moments of matrix entries of
partial traces. Our main tool is Weingarten calculus, which provides a
method for computing integrals of polynomial functions with respect
to Haar measure on the unitary group. This talk is based on joint work
with Colin McSwiggen (arXiv:2210.11349).
Please contact Leslie Molag (lmolag@math.uni-bielefeld.de) for details regarding access.
Within the CRC this talk is associated to the project(s): C6 |
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