Title: Negative Schwarzian and non-linear cohomological inequality
Speaker: Professor Jacek Graczyk
Speaker Info: Universite de Paris-Sud
Brief Description:
Special Note:
Abstract:
We prove that analytic conjugacy class of C^3 self map of a compact interval (circle) with all critical points non-flat and all periodic points repelling contains a map with negative Schwarzian derivative. The main idea is to solve a cohomological inequality in the class of essentially bounded measurable functions and then "smooth out" a solution. In case of circle maps we need one more condition to solve the cohomological inequality due to integral obstructions.Date: Tuesday, October 11, 2005