Shaosong Liu, U of R
2:30 PM - 3:45 PM
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