Events

Piotr Oprocha (AGH U Krakow) - On invariant sets with vanishing derivative and Cantor set dynamics

Centre for Complex Systems 

Date: 12 December 2024   Time: 14:00 - 15:00

Location: MB-503

The aim of this talk is to characterize all dynamical systems on Cantor set that can be embedded in interval with vanishing derivative over it. Starting motivation for this study is an old question whether invariant subset C ⊂ [0, 1] on which derivative of interval map f vanishes must contain a periodic point, which was recently answered in the negative by Ciesielski and Jasinski.

(joint work with Silvere Gangloff)

Contact:  Lennart Dabelow
Email:  l.dabelow@qmul.ac.uk

Updated by: Lennart Dabelow