Upcoming talks:
| 24 IV | Kacper Proniewski (UJ) On the sharpening of Sharkovsky's theorem Show abstract
For a continuous function f from an interval I to itself let t_n(m) be
the minimal number of periodic points of f of minimal order m, given it
has a periodic point of minimal order n. Sharkovsky's theorem states
that t_n(m)\ge 1 if and only if m follows n in the Sharkovsky's
ordering. In the talk we give an explicit description of the sequence
t_n(m). Based on work with J. Byszewski. |
| 24 IV | Filip Wierzbowski (UJ) On mixing and dense periodicity on spaces with a free arc Show abstract
We study the dynamics of continuous maps on compact metric spaces containing
a free interval (an open subset homeomorphic to the interval (0,1)). We provide
a new proof of a result of Dirbák, Snoha and Špitalský stating that every
continuous and transitive, non-minimal map of a space with a free interval is
relatively mixing, non-invertible, has positive topological entropy, and dense
periodic points. Joint work with D. Kwietniak. |
Show rest
| 20 VI | Chunlin Liu (IM PAN) TBA
Show abstract TBA
|
The seminar takes place on Fridays
at 10.15-11.45 AM (Kraków time) - currently CET (UTC+1) in the room 1016
of the Jagiellonian University
Department of Mathematics
and Computer Science
(ul. Łojasiewicza 6, Cracow).