Analysis Seminar

Ian Charlesworth, University of California, Berkeley

"Free Stein Irregularity"

I will speak on recent joint work with Brent Nelson. We introduce a quantity we term free Stein irregularity, which falls in the realm of the non-microstates approach to free entropy. It is a (polynomial) algebra invariant which measures obstructions to the free difference quotients being well-defined as closable unbounded operators. I will motivate our introduction of free Stein information, and discuss some of its properties and how it relates to the non-microstates free entropy dimensions.

MC 5403