## Dynamics, Geometry, & Groups - Francesco Cellarosi (Queen's)

### Friday, October 5th, 2018

**Time:** 10:30 a.m** Place:** Jeffery Hall 422

**Speaker:** Francesco Cellarosi (Queen's University)

**Title:** Central Limit Theorem via spectral method

**Abstract:** I will explain the Nagaev-Guivarc'h method to obtain a Central Limit Theorem for sequences of random variables coming from a large class of 1-dimensional dynamical systems, namely uniformly expanding maps of the interval. The idea is work in a suitable Banach space to establish a spectral gap for the transfer operator, and then use a perturbative argument. This talk is based on a paper by Sébastien Gouëzel.