Probabilistic Operator Algebra Seminar: Free Stein discrepancy as a regularity condition

Seminar | August 21 | 3-5 p.m. | 736 Evans Hall

 Brent Nelson, NSF Postdoctoral Fellow UC Berkeley

 Department of Mathematics

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.