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math.DS2026
Every nondegenerate Peano continuum admits a pure mixing selfmap
Klara Karasova, MichaÅ Kowalewski, Piotr Oprocha
We prove that every Peano continuum (a space that is a continuous image of ) admits a topologically mixing but not exact map. The constructed map has a dense set of periodic…
math.DS2025
Observable Dynamics and the Generic Coincidence of Milnor, Statistical, and Physical Attractors
Magdalena ForyÅ-Krawiec, Jana Hantáková, MichaÅ Kowalewski +1
We study observable dynamics of generic continuous interval maps. We prove that, for a residual subset of , the global Milnor, statistical, and physical attractors coinci…