In this talk, we introduce basic of local entropy theory and discuss how it can be applied in various settings in topological dynamics. We pay particular attention to Uniformly Positive Entropy and Complete Positive Entropy introduced by Blanchard in 90’s. Whereas these notions coincide in measure theoretical dynamics, they are very different in topological dynamics.
All notions will be defined and the talk will be accessible to graduate students.
Udayan B. Darji
University of Louisville, EEUU
