Non-autonomous exponential dynamics: topology and dimension

Speaker(s)

Łukasz Pawelec

Affiliation

Szkoła Główna Handlowa

Date

Nov. 24, 2017, 10:15 a.m.

Room

room 5840

Seminar

Seminar of Dynamical Systems Group

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

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

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