A classification of Lozi maps

05.05.2022 15:15 - 17:15

Jan Boroński (AGH Krakow)

I shall review recent progress on Lozi maps and attractors. This will include the following classification result obtained in collaboration with Sonja Stimac (Zagreb): Within Misiurewicz parameter set, two Lozi maps are conjugate if and only if their sets of kneading sequences coincide, if and only if their folding patterns are the same. The proof relies on our earlier result, in which we gave a description of Lozi maps in terms of shifts on inverse limits of densely branching trees.

Organiser:

H. Bruin, R. Zweimüller

Location:

SR 09, 2. OG, OMP 1