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Department of Mathematics,
University of California San Diego

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Math 243 - Functional Analysis Seminar

Brent Nelson

UC Berkeley

Free Stein discrepancy as a regularity condition​

Abstract:

Given an n-tuple of non-commutative random variables, its free Stein discrepancy relative to the semicircle law measures how ​``close '' the distribution is to the semicircle law. By considering free Stein discrepancies relative to a broader class of laws, one can define a quantity called the free Stein information. In this talk, we will discuss this and its relation to other free probabilistic quantities such as the free Fisher information and the non-microstates free entropy dimension. This is based on joint work in progress with Ian Charlesworth.

Hosts: Adrian Ioana & Todd Kemp

June 1, 2018

1:00 PM

AP&M 7321

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