Special Session 15: 

Zero topological entropy and invariant measures in dimension one

Piotr Oprocha
AGH University
Poland
Co-Author(s):    
Abstract:
In this talk I will survey some recent results on special properties of maps with zero entropy on one-dimensional continua (mostly interval and topological graphs). I will be interested in relations between Li-Yorke pairs, sequence entropy and how they influence properties of invariant measures. The talk will be based, in part, on recent joint works with Jian Li, Guohua Zhang and Xianjuan Liang.