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Operator Norm Estimates for Sums of Tensor-Valued Random Haar Unitaries

Institute for Pure & Applied Mathematics (IPAM) via YouTube

Overview

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Watch a technical mathematics lecture exploring operator norm estimates for sums of tensor-valued random Haar unitaries, presented by Benoit Collins from Kyoto University at IPAM's Free Entropy Theory and Random Matrices Workshop. Examine the evaluation of operator norms when summing operator-valued random Haar unitaries, comparing results with cases where random Haar unitaries are replaced by free Haar unitaries. Discover the probabilistic and operator theoretic tools required for these estimates, with potential coverage of applications to Peterson Thom problem variants. Based on collaborative research with Charles Bordenave, gain deep insights into this specialized area of mathematical analysis through this 41-minute presentation recorded at the Institute for Pure & Applied Mathematics.

Syllabus

Benoit Collins - Operator norm estimates for sums of tensor-valued random Haar unitaries

Taught by

Institute for Pure & Applied Mathematics (IPAM)

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