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Monday, June 21, 2021

Monday, June 21, 2021 — 11:30 to 11:30 AM EDT

Title: Average Mixing Matrices of Trees and Stars

Speaker: Paula Kimmerling Affiliation: Washington State University Zoom: Contact Soffia Arnadottir

Abstract:

We define the average mixing matrix (AMM) of a continuous-time quantum walk on a graph using the orthogonal projections onto the eigenspaces of the adjacency matrix A. From there, one of the properties that has been studied is the rank of the AMM. This is easiest to do if the eigenvalues of A are simple, and we’ll review some of the results on this from Coutinho et. al. (2018).

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