Non-autonomous exponential dynamics: topology and dimension | College of Science

Non-autonomous exponential dynamics: topology and dimension

Event Date: 
Monday, April 16, 2018 - 4:00pm
Location: 
GAB 461
Event Department: 
Event Type: 

Abstract: I will talk about two results in the dynamics of $\lambda e^z$, which may still be generalized in the more general situation of non-autonomous systems (here it means that the real parameter $\lambda$ changes at every step).

We will see that the set (naturally defined, and dynamically interesting) of points with so-called code (0,0...) has the topological structure of an indecomposable continuum and, moreover, it has the Hausdorff dimension equal to one.

Presenter Name: 
Lukasz Pawelec
Presenter Organization: 
Warsaw University of Economics

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