# Dynamical systems workgroup

## Spectral methods in Dynamics

Shaosong Liu, U of R

Wednesday, December 18th, 2019
2:30 PM - 3:45 PM
Hylan 101

For a piecewise $$C^2$$ transformation on $$[0,1]$$, we introduce the Lasota-Yorke inequality for its corresponding transfer operator. Such inequality could lead us to prove the existence of absolutely continuous invariant measures. Furthermore, there is a spectral gap for that operator and we can give a proof of central limit theorem using that inequality. The spectrum analysis method also works for different kinds of transformations.

Event contact: sliu72 at ur dot rochester dot edu