## Free Probability & Random Matrices Seminar

### Tuesday, February 25th, 2020

**Time:** 1:30-2:30 p.m. **Place:** Jeffery Hall 422

**Speaker:** Jamie Mingo (Queen's University)

**Title:** Free Compression of Bernoulli Random Variables.

**Abstract: **If we represent a Bernoulli random variable by a diagonal matrix with ± 1 entries (half 1, half -1) and then randomly rotate it with an orthogonal matrix, we can then cut out the matrix in the upper left hand corner, of arbitrary size. This is the free compression of an Bernoulli random variable (approximately). This compression has the distribution of the sum of several free Bernoulli random variables, including fractionally many. We will relate this to the Kesten-McKay law for random regular graphs.

Tags: