Display Abstract

Title Periodic points of latitudinal sphere maps

Name Michal Misiurewicz
Country USA
Email mmisiure@math.iupui.edu
Co-Author(s)
Submit Time 2014-02-19 20:09:39
Session
Special Session 68: Entropy-like quantities and applications
Contents
For the maps of the two-dimensional sphere into itself that preserve the latitude foliation and are differentiable at the poles, lower estimates of the number of fixed points for the maps and their iterates are obtained. Those estimates give also show that the growth rate of the number of fixed points of the iterates is larger than or equal to the logarithm of the absolute value of the degree of the map.