Chaos and Indecomposability

Udayan B. Darji
University of Louisville, USA
http://www.math.louisville.edu/~darji/

Date(s) : 17/02/2015   iCal
11 h 00 min - 12 h 00 min

There are many notions of chaos in topological dynamics. One of the strongest form of chaos is that of positive topological entropy. The aim of this talk is to show that if a certain type of continua (compact, connected, metric spaces) admit a chaotic homeomorphism, then the continua must contain complicated substructure, namely indecomposable continuum.
One of the essential tools is local entropy theory. The talk will be nontechnical and all terminology will be defined.

https://arxiv.org/abs/1504.08341

 

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