Non-autonomous exponential dynamics: topology and dimension

Prelegent(ci)

Łukasz Pawelec

Afiliacja

Szkoła Główna Handlowa

Termin

24 listopada 2017 10:15

Pokój

p. 5840

Seminarium

Seminarium Zakładu Układów Dynamicznych

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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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